Erdős problem database

Browse the interactive table - Sort, filter, and search all the problems in the database

A community database for the problems on the erdosproblems.com site. We are particularly seeking community contributions regarding the integer sequences associated with these problems, and linking them to the OEIS.

The table below is auto-generated from the YAML file data/problems.yaml, which is the "ground truth" for this data as far as this repository is concerned.

• To propose changes, open a PR editing data/problems.yaml.
• See CONTRIBUTING.md for guidelines and field definitions.

For further discussion of this project, see this blog post (from Sep 1, 2025).

Several of the problems have received assistance from various AI tools. A list of such assistance can be found here.

Progress

Table

There are 1128 problems in total, of which

• 101 are attached to a monetary prize.
• 278 have been proved.
  • 18 of these proofs have been formalized in Lean.
• 102 have been disproved.
  • 17 of these disproofs have been formalized in Lean.
• 57 have been otherwise solved.
  • 1 of these solutions have been formalized in Lean.
• 5 appear to be open, but cannot be proven from the axioms of ZFC. (not provable)
• 0 appear to be open, but cannot be disproven from the axioms of ZFC. (not disprovable)
• 1 are known to be independent of the ZFC axioms of mathematics. (independent)
• 8 appear to be open, but have been reduced to a finite computation. (decidable)
• 31 appear to be open, but can be disproven by a finite computation if false. (falsifiable)
• 8 appear to be open, but can be proven by a finite computation if true. (verifiable)
• 638 appear to be completely open.
• 4 have ambiguous statements.
• 1 have a literature review requested.
• 281 have their statements formalized in Lean in the Formal Conjectures Repository.
• 273 have been linked to 332 distinct OEIS sequences, with a total of 395 links created.
  • 50 of these OEIS sequences were added since the creation of this database (A387000 onwards).
• 304 are potentially related to an OEIS sequence not already listed.
  • 267 of these problems are not currently linked to any existing OEIS sequence.
• 0 have a related sequence currently being submitted to the OEIS.
• 2 have a related sequence whose generation is currently in progress.

#	Prize	Status	Formalized	OEIS	Tags	Comments
1	$500	open	yes	A276661	number theory, additive combinatorics
2	$1000	disproved	no	A160559	number theory, covering systems
3	$5000	open	yes	A003002, A003003, A003004, A003005	number theory, additive combinatorics, arithmetic progressions
4	$10000	proved	yes	A002386	number theory, primes
5	no	open	no	A001223	number theory, primes
6	$100	proved	yes	A335277	number theory, primes
7	no	verifiable	no	N/A	number theory, covering systems
8	no	disproved	no	N/A	number theory, covering systems
9	no	open	yes	A006286	number theory, additive basis, primes
10	no	open	yes	A387053	number theory, additive basis, primes
11	no	falsifiable	yes	A001220, A377587	number theory, additive basis
12	no	open	yes	N/A	number theory
13	$100	proved	no	A002264	number theory
14	no	open	yes	A143824, possible	number theory, sidon sets, additive combinatorics
15	no	open	no	N/A	number theory, primes
16	no	disproved	no	A006285	number theory, additive basis, primes
17	no	open	yes	A038133	number theory, primes	cluster primes
18	no	open	no	A005153	number theory, divisors, factorials	practical numbers
19	$500	decidable	no	N/A	graph theory, chromatic number
20	$1000	open	yes	A332077	combinatorics	sunflower conjecture
21	$500	proved	no	possible	combinatorics, intersecting family
22	no	proved	no	possible	graph theory
23	no	falsifiable	no	A389646	graph theory
24	no	proved	no	possible	graph theory
25	no	open	yes	N/A	number theory
26	no	disproved (Lean)	yes	N/A	number theory, divisors
27	$100	disproved	no	N/A	number theory, covering systems
28	$500	open	yes	N/A	number theory, additive basis
29	$100	proved	no	N/A	number theory, additive basis
30	$1000	open	yes	A143824, A227590, A003022	number theory, sidon sets, additive combinatorics
31	no	proved (Lean)	no	N/A	number theory, additive basis
32	no	open	no	N/A	number theory, additive basis
33	no	open	yes	N/A	number theory, additive basis
34	no	disproved	no	A389241, A234813, A390187	number theory
35	no	proved	no	N/A	number theory, additive basis
36	no	open	yes	possible	number theory, additive combinatorics	minimum overlap problem
37	no	disproved	no	N/A	number theory, additive combinatorics
38	no	open	yes	N/A	number theory
39	$500	open	yes	N/A	number theory, sidon sets, additive combinatorics
40	$500	open	yes	N/A	number theory, additive basis
41	$500	open	yes	N/A	number theory, sidon sets, additive combinatorics
42	no	open	yes	N/A	number theory, sidon sets, additive combinatorics
43	$100	open	no	A143824, A227590, A003022, possible	number theory, sidon sets, additive combinatorics
44	no	open	yes	N/A	number theory, sidon sets, additive combinatorics
45	no	proved	no	possible	number theory, unit fractions, ramsey theory
46	no	proved (Lean)	no	N/A	number theory, unit fractions, ramsey theory
47	$100	proved (Lean)	no	N/A	number theory, unit fractions
48	no	proved	yes	N/A	number theory
49	no	proved	no	A365339, A365474	number theory, primes
50	$250	open	no	N/A	number theory
51	no	open	yes	A002202, A014197	number theory
52	$250	open	no	A263996	number theory, additive combinatorics	sum-product problem
53	no	proved	no	possible	number theory, additive combinatorics
54	$100	solved	no	N/A	number theory, ramsey theory
55	$250	solved	no	N/A	number theory, ramsey theory
56	$10	disproved (Lean)	yes	N/A	number theory, intersecting family
57	no	proved	no	N/A	graph theory, chromatic number, cycles
58	no	proved	no	N/A	graph theory, chromatic number, cycles
59	no	disproved	no	N/A	graph theory, turan number
60	no	open	no	possible	graph theory, cycles
61	no	open	yes	N/A	graph theory
62	no	open	no	N/A	graph theory
63	no	proved	no	N/A	graph theory, chromatic number, cycles
64	$1000	falsifiable	yes	N/A	graph theory, cycles
65	no	open	no	N/A	graph theory, cycles
66	$500	open	yes	N/A	number theory, additive basis
67	$500	proved	yes	A181740, A237695	discrepancy	Erdős discrepancy problem
68	no	open	yes	A331373	number theory, irrationality
69	no	proved	yes	A262153	number theory, irrationality
70	no	open	no	N/A	graph theory, ramsey theory, set theory
71	no	proved	no	N/A	graph theory, cycles
72	$100	proved	no	N/A	graph theory, cycles
73	no	proved	no	N/A	graph theory
74	$500	open	yes	N/A	graph theory, chromatic number, cycles
75	no	open	no	N/A	graph theory, chromatic number
76	no	proved	no	A060407	graph theory, ramsey theory
77	$250	open	no	A059442	graph theory, ramsey theory
78	$100	open	no	A059442	graph theory, ramsey theory
79	no	proved	no	N/A	graph theory, ramsey theory
80	no	open	no	N/A	graph theory, ramsey theory
81	no	open	no	possible	graph theory
82	no	open	no	A120414, A390256, A390257	graph theory
83	$500	proved	no	A071799, A387635	combinatorics
84	no	open	no	possible	graph theory, cycles
85	no	falsifiable	yes	A006672, possible	graph theory
86	$100	open	no	A245762	graph theory
87	no	open	no	A059442, possible	graph theory, ramsey theory
88	$100	proved	no	N/A	graph theory, ramsey theory
89	$500	open	yes	A186704, A131628	geometry, distances	Erdős distance problem
90	$500	open	yes	A186705	geometry, distances	unit distance problem
91	no	open	no	A186704, possible	geometry, distances
92	$500	open	yes	possible	geometry, distances
93	no	proved	no	N/A	geometry, convex, distances
94	£25	proved	no	A387858	geometry, convex, distances
95	$500	proved	no	possible	geometry, convex, distances
96	no	open	no	possible	geometry, distances, convex
97	$100	falsifiable	yes	N/A	geometry, distances, convex
98	no	open	no	possible	geometry, distances
99	$100	open	no	N/A	geometry, distances
100	no	open	no	N/A	geometry, distances
101	$100	open	no	A006065, possible	geometry
102	no	open	no	N/A	geometry
103	no	open	no	possible	geometry, distances
104	£100	open	no	A003829	geometry
105	$50	disproved (Lean)	no	N/A	geometry
106	no	falsifiable	no	N/A	geometry
107	$500	falsifiable	yes	A000051	geometry, convex	'Happy Ending' problem
108	no	open	yes	possible	graph theory, chromatic number, cycles
109	no	proved	no	N/A	additive combinatorics	Erdős sumset conjecture
110	no	not provable	no	N/A	graph theory, chromatic number, cycles
111	no	open	no	N/A	graph theory, chromatic number, set theory
112	no	open	no	possible	graph theory, ramsey theory
113	$500	disproved	no	N/A	graph theory, turan number
114	no	open	no	N/A	polynomials, analysis
115	no	proved	no	N/A	polynomials, analysis
116	no	proved	no	N/A	polynomials, analysis
117	no	open	no	possible	group theory
118	no	disproved	no	N/A	set theory, ramsey theory
119	$100	open	yes	N/A	analysis, polynomials
120	$100	open	no	N/A	combinatorics	Erdős similarity problem
121	no	disproved	no	A028391, A013928, A372306, A373319, A372306, A373178, A360659, A373114, A143301	number theory, squares
122	no	open	no	N/A	number theory
123	$250	open	yes	N/A	number theory
124	no	open	yes	N/A	number theory, base representations
125	no	open	yes	A367090	number theory, base representations
126	$250	open	yes	possible	number theory
127	no	proved	no	possible	graph theory
128	$250	falsifiable	yes	N/A	graph theory
129	no	open	no	possible	graph theory, ramsey theory
130	no	open	no	N/A	graph theory, chromatic number
131	no	open	no	A068063	number theory
132	$100	open	no	N/A	distances
133	no	disproved	no	possible	graph theory
134	no	proved	no	N/A	graph theory
135	$250	disproved	no	possible	distances, geometry
136	no	solved	no	possible	graph theory
137	no	open	yes	N/A	number theory
138	$500	open	yes	A005346	additive combinatorics
139	$1000	proved	yes	A003002, A003003, A003004, A003005	additive combinatorics, arithmetic progressions	Szemerédi's theorem
140	$500	proved	no	A003002	additive combinatorics, arithmetic progressions
141	no	open	yes	A006560	additive combinatorics, primes, arithmetic progressions
142	$10000	open	yes	A003002, A003003, A003004, A003005	additive combinatorics, arithmetic progressions
143	$500	open	yes	N/A	primitive sets
144	$250	proved	no	A005279	number theory, divisors
145	no	open	yes	A005117	number theory
146	$500	open	no	N/A	graph theory, turan number
147	$500	disproved	no	N/A	graph theory, turan number
148	no	open	no	A076393, A006585	number theory, unit fractions
149	no	open	no	N/A	graph theory
150	no	proved	no	possible	graph theory
151	no	open	no	possible	graph theory
152	no	open	no	N/A	sidon sets
153	no	open	no	N/A	sidon sets
154	no	proved	no	N/A	sidon sets
155	no	open	yes	A143824, A227590, A003022	additive combinatorics, sidon sets
156	no	open	no	A382397	sidon sets
157	no	proved	no	N/A	sidon sets
158	no	open	no	N/A	sidon sets
159	no	open	no	possible	graph theory, ramsey theory
160	no	open	yes	possible	additive combinatorics, arithmetic progressions
161	$500	open	no	N/A	combinatorics, ramsey theory, discrepancy
162	no	open	no	N/A	combinatorics, ramsey theory, discrepancy
163	no	proved	no	N/A	graph theory, ramsey theory	Burr-Erdős conjecture
164	no	proved	no	A137245	number theory, primitive sets
165	$250	open	no	A000791	graph theory, ramsey theory
166	$250	proved	no	A059442	graph theory, ramsey theory
167	no	falsifiable	no	N/A	graph theory
168	no	open	yes	A004059, A057561, A094708, A386439	additive combinatorics
169	no	open	no	A005346	additive combinatorics, arithmetic progressions
170	no	open	yes	A046693	additive combinatorics	sparse ruler problem
171	no	proved	no	A156989	additive combinatorics, combinatorics	density Hales-Jewett
172	no	open	yes	N/A	additive combinatorics, ramsey theory
173	no	open	no	N/A	geometry, ramsey theory
174	no	open	no	N/A	geometry, ramsey theory
175	no	proved	no	N/A	number theory, binomial coefficients
176	no	open	no	possible	additive combinatorics, arithmetic progressions, discrepancy
177	no	open	no	N/A	discrepancy, arithmetic progressions
178	no	proved	no	N/A	discrepancy
179	no	proved	no	possible	additive combinatorics, arithmetic progressions
180	no	open	no	N/A	graph theory, turan number
181	no	open	no	possible	graph theory, ramsey theory
182	no	proved	no	possible	graph theory
183	$250	open	no	A003323	graph theory, ramsey theory
184	no	open	no	possible	graph theory, cycles
185	no	proved	no	A003142	additive combinatorics
186	no	solved	no	A389784	additive combinatorics
187	no	open	no	N/A	additive combinatorics, ramsey theory
188	no	open	yes	N/A	geometry, ramsey theory
189	no	disproved (Lean)	yes	N/A	geometry, ramsey theory
190	no	open	no	possible	additive combinatorics, arithmetic progressions
191	no	proved	no	N/A	combinatorics, ramsey theory
192	no	solved	no	N/A	arithmetic progressions, combinatorics
193	no	open	no	A231255	geometry
194	no	disproved	no	N/A	arithmetic progressions
195	no	open	no	N/A	arithmetic progressions
196	no	open	yes	N/A	arithmetic progressions
197	no	open	no	N/A	arithmetic progressions
198	no	disproved (Lean)	yes	N/A	additive combinatorics, sidon sets, arithmetic progressions
199	no	disproved	no	N/A	arithmetic progressions
200	no	open	yes	A005115	primes, arithmetic progressions
201	no	open	no	A003002, A003003, A003004, A003005, possible	additive combinatorics, arithmetic progressions
202	no	open	no	A389975	covering systems
203	no	open	yes	N/A	primes, covering systems
204	no	disproved	no	N/A	covering systems
205	no	open	no	possible	number theory
206	no	disproved	no	N/A	number theory, unit fractions
207	no	proved	no	N/A	combinatorics, hypergraphs
208	no	open	yes	A005117, A076259	number theory
209	no	disproved	no	N/A	geometry
210	no	proved	no	A003034	geometry
211	$100	proved	no	N/A	geometry
212	no	open	yes	N/A	geometry, distances
213	no	open	yes	N/A	geometry, distances
214	no	proved	no	N/A	geometry, distances
215	no	proved	no	N/A	geometry
216	no	disproved	no	A381776	geometry, convex
217	no	open	no	possible	geometry, distances
218	no	open	yes	A333230, A333231, A064113	number theory, primes
219	no	proved	yes	A005115, A113827, A123556	number theory, additive combinatorics, primes, arithmetic progressions	Green-Tao theorem
220	$500	proved	no	A322144	number theory
221	no	proved	no	N/A	number theory, additive basis
222	no	open	no	A256435	number theory, squares
223	no	solved	no	possible	geometry, distances
224	no	proved	no	N/A	geometry
225	no	proved	no	N/A	analysis
226	no	proved (Lean)	no	N/A	analysis
227	no	disproved	no	N/A	analysis
228	no	proved	yes	N/A	analysis, polynomials
229	no	proved (Lean)	yes	N/A	analysis, iterated functions
230	no	disproved	no	N/A	analysis, polynomials
231	no	disproved	no	N/A	combinatorics
232	no	proved	no	N/A	geometry, distances
233	no	open	yes	A074741	number theory, primes
234	no	open	no	N/A	number theory, primes
235	no	proved	no	N/A	number theory
236	no	open	yes	A039669, A109925	number theory, primes
237	no	proved	no	N/A	number theory, primes
238	no	open	no	N/A	number theory, primes
239	no	proved	no	N/A	number theory
240	no	proved	no	N/A	number theory, primes
241	$100	open	no	A387704	additive combinatorics, sidon sets
242	no	falsifiable	yes	A073101, A075245, A075246, A075247, A075248, A287116	number theory, unit fractions	Erdős-Straus conjecture
243	no	open	yes	A000058	number theory
244	no	open	yes	N/A	number theory, primes
245	no	proved	yes	N/A	additive combinatorics
246	no	proved (Lean)	no	N/A	number theory
247	no	open	yes	N/A	number theory, irrationality
248	no	proved	yes	N/A	number theory
249	no	open	yes	A256936	number theory, irrationality
250	no	proved	yes	A066766	number theory, irrationality
251	no	open	yes	A098990	number theory, irrationality
252	no	open	no	A227988, A227989, possible	number theory, irrationality
253	no	disproved	yes	N/A	number theory
254	no	open	no	N/A	number theory
255	no	proved	no	N/A	discrepancy
256	no	open	no	N/A	analysis
257	no	open	yes	N/A	irrationality
258	no	open	yes	N/A	irrationality
259	no	proved	yes	A371134	irrationality
260	no	open	no	N/A	irrationality
261	no	open	no	N/A	number theory
262	no	solved	no	N/A	irrationality
263	no	open	no	N/A	irrationality
264	no	open	yes	N/A	irrationality
265	no	open	no	N/A	irrationality
266	no	disproved	yes	N/A	irrationality
267	no	open	yes	N/A	irrationality
268	no	proved	yes	N/A	number theory
269	no	open	yes	N/A	irrationality
270	no	disproved	no	A073016	irrationality
271	no	open	no	A005487	additive combinatorics, arithmetic progressions	Stanley sequences
272	no	open	no	possible	additive combinatorics, arithmetic progressions
273	no	open	yes	N/A	number theory, covering systems
274	no	open	yes	N/A	group theory, covering systems	Herzog-Schönheim conjecture
275	no	proved	no	N/A	number theory, covering systems
276	no	open	yes	N/A	number theory, covering systems
277	no	proved	no	N/A	number theory, covering systems
278	no	open	no	N/A	number theory, covering systems
279	no	open	no	N/A	number theory, covering systems, primes
280	no	disproved	no	N/A	number theory, covering systems
281	no	open	no	N/A	number theory, covering systems
282	no	open	no	N/A	number theory, unit fractions
283	no	open	yes	A380791	number theory, unit fractions
284	no	proved	no	possible	number theory, unit fractions
285	no	proved	yes	possible	number theory, unit fractions
286	no	proved	no	N/A	number theory, unit fractions
287	no	falsifiable	no	N/A	number theory, unit fractions
288	no	open	yes	N/A	number theory, unit fractions
289	no	open	yes	N/A	number theory, unit fractions
290	no	proved	no	A375081	number theory, unit fractions
291	no	open	no	A110566	number theory, unit fractions
292	no	proved	no	A092671	number theory, unit fractions
293	no	open	no	possible	number theory, unit fractions
294	no	proved	no	possible	number theory, unit fractions
295	no	open	yes	possible	number theory, unit fractions
296	no	proved	no	possible	number theory, unit fractions
297	no	solved	no	A092670	number theory, unit fractions
298	no	proved (Lean)	yes	N/A	number theory, unit fractions
299	no	disproved (Lean)	yes	N/A	number theory, unit fractions
300	no	solved	no	A390393	number theory, unit fractions
301	no	open	no	A390394	number theory, unit fractions
302	no	open	no	A390395	number theory, unit fractions
303	no	proved (Lean)	yes	N/A	number theory, unit fractions
304	no	open	yes	possible	number theory, unit fractions
305	no	proved	no	possible	number theory, unit fractions
306	no	open	yes	N/A	number theory, unit fractions
307	no	verifiable	yes	N/A	number theory, unit fractions
308	no	proved	no	possible	number theory, unit fractions
309	no	disproved	no	A217693	number theory, unit fractions
310	no	proved	no	N/A	number theory, unit fractions
311	no	open	no	N/A	number theory, unit fractions
312	no	open	yes	N/A	number theory, unit fractions
313	no	open	yes	A054377	number theory, unit fractions
314	no	proved	no	N/A	number theory, unit fractions
315	no	proved	no	A000058, A076393	number theory, unit fractions
316	no	disproved (Lean)	yes	N/A	number theory, unit fractions
317	no	open	yes	N/A	number theory, unit fractions
318	no	open	no	N/A	number theory, unit fractions
319	no	open	yes	possible	number theory, unit fractions
320	no	open	no	A072207	number theory, unit fractions
321	no	open	yes	A384927, in progress	number theory, unit fractions
322	no	open	no	A025456, A025418	number theory, powers
323	no	open	no	possible	number theory, powers
324	no	open	yes	N/A	number theory, powers
325	no	open	yes	possible	number theory, powers
326	no	open	yes	N/A	number theory, additive basis
327	no	open	no	A384927	number theory, unit fractions
328	no	disproved	no	N/A	number theory, additive combinatorics
329	no	open	yes	possible	number theory
330	no	open	yes	N/A	number theory, additive basis
331	no	disproved	no	N/A	number theory, additive combinatorics
332	no	open	yes	N/A	number theory
333	no	disproved (Lean)	no	N/A	number theory, additive basis
334	no	open	no	possible	number theory
335	no	open	no	N/A	number theory, additive combinatorics
336	no	open	no	possible	number theory, additive basis
337	no	disproved (Lean)	no	N/A	number theory, additive combinatorics, additive basis
338	no	open	no	N/A	number theory, additive basis
339	no	proved	no	N/A	number theory, additive basis
340	no	open	yes	A080200, A005282	number theory, additive combinatorics, sidon sets
341	no	open	no	N/A	number theory
342	no	open	no	A002858	number theory
343	no	proved	no	N/A	number theory, complete sequences
344	no	proved	no	N/A	number theory, complete sequences
345	no	open	no	A001661	number theory, complete sequences
346	no	open	no	N/A	number theory, complete sequences
347	no	open	yes	N/A	number theory, complete sequences
348	no	open	yes	N/A	number theory, complete sequences
349	no	open	yes	N/A	number theory, complete sequences
350	no	proved (Lean)	yes	N/A	number theory, additive combinatorics
351	no	open	yes	N/A	number theory, complete sequences
352	no	open	yes	N/A	geometry
353	no	proved	no	N/A	geometry
354	no	open	yes	N/A	number theory
355	no	proved	yes	N/A	number theory, unit fractions
356	no	proved	no	possible	number theory
357	no	open	yes	A364132, A364153, possible	number theory
358	no	open	yes	possible	number theory, additive basis, primes
359	no	open	yes	A002048	number theory	segmented numbers
360	no	solved	no	possible	number theory
361	no	open	yes	possible	number theory
362	no	proved	no	possible	number theory
363	no	disproved	no	N/A	number theory
364	no	verifiable	yes	A060355, A076445	number theory
365	no	open	no	A060355, A060859, A175155	number theory
366	no	verifiable	yes	A060355	number theory
367	no	open	no	A057521	number theory
368	no	open	no	A074399	number theory
369	no	open	no	N/A	number theory
370	no	proved (Lean)	yes	N/A	number theory
371	no	open	yes	A070089	number theory
372	no	proved	no	A071870	number theory
373	no	open	yes	A003135	number theory, factorials
374	no	open	no	A388851, A387184, A389117, A389148	number theory
375	no	falsifiable	no	N/A	number theory
376	no	open	yes	A030979	number theory, binomial coefficients, base representations
377	no	open	yes	N/A	number theory, binomial coefficients
378	no	proved	no	N/A	number theory, binomial coefficients
379	no	proved (Lean)	yes	possible	number theory, binomial coefficients
380	no	open	no	A070003, A388654, A387054, A389100	number theory
381	no	disproved	no	A002182	number theory, divisors
382	no	open	no	A388850	number theory
383	no	open	yes	N/A	number theory
384	no	proved	no	N/A	number theory, binomial coefficients
385	no	open	no	A322292	number theory
386	no	open	no	A280992	number theory, binomial coefficients
387	no	open	no	N/A	number theory, binomial coefficients
388	no	open	no	N/A	number theory
389	no	open	yes	A375071	number theory
390	no	open	no	A193429	number theory, factorials
391	no	proved	no	A034258, A034259	number theory, factorials
392	no	proved	yes	possible	number theory, factorials
393	no	open	no	A388302	number theory, factorials
394	no	open	no	A344005	number theory
395	no	proved	no	N/A	analysis	reverse Littlewood-Offord problem
396	no	open	yes	A375077	number theory, binomial coefficients
397	no	open	yes	N/A	number theory, binomial coefficients
398	no	falsifiable	yes	A146968	number theory, factorials	Brocard-Ramanujan conjecture
399	no	disproved	no	N/A	number theory, factorials
400	no	open	no	possible	number theory, factorials
401	no	open	no	N/A	number theory, factorials
402	no	proved	yes	N/A	number theory
403	no	proved	no	N/A	number theory, factorials
404	no	open	no	N/A	number theory, factorials
405	no	proved	no	N/A	number theory, factorials
406	no	open	yes	N/A	number theory, base representations
407	no	proved	no	possible, A387688	number theory
408	no	open	no	A049108	number theory, iterated functions
409	no	open	yes	A039651, A229487	number theory, iterated functions
410	no	open	yes	A007497, possible	number theory, iterated functions
411	no	open	no	A383044, possible	number theory, iterated functions
412	no	open	yes	A007497, A051572	number theory, iterated functions
413	no	open	no	A005236	number theory, iterated functions
414	no	open	yes	A064491, possible	number theory, iterated functions
415	no	open	no	possible	number theory
416	no	open	yes	A264810	number theory
417	no	open	no	A264810, A061070	number theory
418	no	proved (Lean)	yes	A005278, A263958	number theory
419	no	solved	no	N/A	number theory, factorials
420	no	open	no	N/A	number theory
421	no	open	yes	N/A	number theory
422	no	open	yes	A005185	number theory
423	no	open	no	A005243	number theory
424	no	open	yes	A005244	number theory
425	no	open	no	possible	number theory, sidon sets
426	$25	disproved	no	possible	graph theory
427	no	proved	yes	N/A	number theory, primes
428	no	open	no	N/A	number theory, primes
429	no	disproved	no	N/A	number theory
430	no	open	no	possible	number theory
431	no	open	no	N/A	number theory, primes	inverse Goldbach problem
432	no	open	no	N/A	number theory
433	no	proved	no	possible	number theory
434	no	proved	yes	possible	number theory
435	no	proved	no	A389479	number theory
436	no	open	no	A000445, possible	number theory
437	no	proved	no	possible	number theory
438	no	solved	no	A363069	number theory
439	no	proved	no	N/A	number theory, ramsey theory
440	no	solved	no	N/A	number theory
441	no	disproved	no	A068509	number theory
442	no	disproved	yes	N/A	number theory
443	no	proved	no	N/A	number theory
444	no	proved	no	N/A	number theory, divisors
445	no	open	no	N/A	number theory
446	no	solved	no	A074738	number theory, divisors
447	no	proved	no	possible	combinatorics
448	no	disproved	no	possible	number theory, divisors
449	no	disproved	no	possible	number theory, divisors
450	no	open	no	N/A	number theory, divisors
451	no	open	no	A386620	number theory
452	no	open	no	possible	number theory
453	no	disproved	no	N/A	number theory
454	no	open	no	A389676, A389677	number theory, primes
455	no	open	no	N/A	number theory
456	no	open	no	possible	number theory
457	no	open	yes	A391668	number theory
458	no	falsifiable	yes	A056604	number theory, primes
459	no	solved	no	A289280	number theory, primes
460	no	open	no	N/A	number theory
461	no	open	no	possible	number theory, primes
462	no	open	no	A032742, possible	number theory, primes
463	no	open	yes	possible	number theory, primes
464	no	proved	no	N/A	number theory
465	no	proved	no	N/A	number theory
466	no	proved	no	N/A	number theory
467	no	open	no	N/A	number theory	ambiguous statement
468	no	open	no	A167485, A387502, A387503	number theory, divisors
469	no	open	yes	A006036, A119425, possible	number theory, divisors
470	no	open	yes	A006037, A002975	number theory, divisors
471	no	proved	no	possible	number theory
472	no	open	no	possible	number theory
473	no	proved	no	A055265	number theory
474	$100	not provable	no	N/A	set theory, ramsey theory
475	no	falsifiable	no	N/A	number theory, additive combinatorics
476	no	proved	no	N/A	number theory, additive combinatorics
477	no	open	yes	N/A	number theory
478	no	open	no	A210184	number theory, factorials
479	no	open	yes	A036236, A015919, A050259, A015921, A006521, A006517, A015940	number theory
480	no	proved	yes	N/A	number theory
481	no	proved (Lean)	no	N/A	number theory
482	no	solved	no	A004539	number theory
483	no	open	no	A030126	number theory, additive combinatorics, ramsey theory
484	no	proved	no	N/A	number theory, additive combinatorics, ramsey theory
485	no	proved	no	possible	analysis, polynomials
486	no	open	yes	N/A	number theory, primitive sets
487	no	proved	no	N/A	number theory
488	no	open	yes	N/A	number theory
489	no	open	no	N/A	number theory
490	no	proved	no	N/A	number theory
491	no	proved	no	N/A	number theory
492	no	disproved	no	N/A	number theory
493	no	proved (Lean)	no	N/A	number theory
494	no	proved	yes	N/A	analysis, additive combinatorics
495	no	open	no	N/A	diophantine approximation, number theory	Littlewood conjecture
496	no	proved	no	N/A	number theory, diophantine approximation
497	no	solved	no	A000372	combinatorics	Dedekind's problem
498	no	proved	no	N/A	combinatorics, analysis	strong Littlewood-Offord problem
499	no	proved (Lean)	yes	N/A	combinatorics
500	$500	open	no	A140462	graph theory, hypergraphs, turan number
501	no	open	no	N/A	combinatorics, set theory
502	no	solved	no	A027627	geometry, distances
503	no	open	yes	A175769	geometry, distances
504	no	solved	no	N/A	geometry	Blumenthal's problem
505	no	disproved	no	possible	geometry	Borsuk's problem
506	no	decidable	no	possible	geometry
507	no	open	no	N/A	geometry	Heilbronn's triangle problem
508	no	open	yes	N/A	geometry, ramsey theory	Hadwiger-Nelson problem
509	no	open	yes	N/A	analysis
510	no	open	yes	N/A	analysis	Chowla's cosine problem
511	no	disproved	no	N/A	analysis
512	no	proved	no	N/A	analysis	Littlewood's conjecture
513	no	open	no	N/A	analysis
514	no	open	no	N/A	analysis
515	no	proved	no	N/A	analysis
516	no	proved	no	N/A	analysis
517	no	open	yes	N/A	analysis
518	no	proved	no	N/A	graph theory, ramsey theory
519	no	proved	no	N/A	analysis
520	no	open	yes	N/A	number theory, probability
521	no	open	no	N/A	analysis, polynomials, probability
522	no	open	yes	N/A	analysis, polynomials, probability
523	no	proved	no	N/A	analysis, probability, polynomials
524	no	open	no	N/A	analysis, probability, polynomials
525	no	proved	no	possible	analysis, probability, polynomials
526	no	solved	no	N/A	probability, geometry
527	no	proved	no	N/A	analysis, probability
528	no	open	no	A387897, A156816	geometry
529	no	open	no	N/A	geometry, probability
530	no	open	no	A143824, possible	number theory, sidon sets
531	no	open	no	possible	number theory, ramsey theory
532	no	proved	no	N/A	number theory, ramsey theory
533	no	open	no	N/A	graph theory
534	no	solved	no	A387543, A387698	number theory, intersecting family
535	no	open	no	possible	number theory
536	no	open	yes	possible	number theory
537	no	disproved	no	possible	number theory
538	no	open	no	N/A	number theory
539	no	open	no	possible	number theory
540	no	proved	no	A034463	number theory
541	no	proved	yes	N/A	number theory
542	no	solved	no	N/A	number theory
543	no	open	no	possible	number theory, group theory
544	no	open	no	A000791	graph theory, ramsey theory
545	no	open	no	A059442, possible	graph theory, ramsey theory
546	no	proved	no	possible	graph theory, ramsey theory
547	no	decidable	no	N/A	graph theory, ramsey theory
548	no	falsifiable	no	N/A	graph theory
549	no	disproved	no	N/A	graph theory, ramsey theory
550	no	open	no	N/A	graph theory, ramsey theory
551	no	decidable	no	N/A	graph theory, ramsey theory
552	no	open	no	A006672	graph theory, ramsey theory
553	no	proved	no	A000791, possible	graph theory, ramsey theory
554	no	open	no	possible	graph theory, ramsey theory
555	no	open	no	possible	graph theory, ramsey theory
556	no	decidable	no	A389335	graph theory, ramsey theory
557	no	open	no	N/A	graph theory, ramsey theory
558	no	open	no	possible	graph theory, ramsey theory
559	no	disproved	no	possible	graph theory, ramsey theory
560	no	open	no	possible	graph theory, ramsey theory
561	no	open	no	N/A	graph theory, ramsey theory
562	no	open	yes	possible	graph theory, ramsey theory, hypergraphs
563	no	open	no	N/A	graph theory, ramsey theory, hypergraphs
564	$500	open	no	possible	graph theory, ramsey theory, hypergraphs
565	no	proved	no	possible	graph theory, ramsey theory
566	no	open	no	N/A	graph theory, ramsey theory
567	no	open	no	N/A	graph theory, ramsey theory
568	no	open	no	N/A	graph theory, ramsey theory
569	no	open	no	N/A	graph theory, ramsey theory
570	no	falsifiable	no	N/A	graph theory, ramsey theory
571	no	open	no	N/A	graph theory, turan number
572	no	open	no	possible	graph theory, turan number
573	no	open	no	A006856	graph theory, turan number
574	no	open	no	possible	graph theory, turan number
575	no	open	no	N/A	graph theory, turan number
576	no	open	no	possible	graph theory, turan number
577	no	proved	no	N/A	graph theory
578	no	proved	no	N/A	graph theory
579	no	open	no	N/A	graph theory, turan number
580	no	decidable	no	N/A	graph theory
581	no	solved	no	possible	graph theory
582	$100	proved	no	N/A	graph theory, ramsey theory
583	no	falsifiable	no	N/A	graph theory
584	no	open	no	N/A	graph theory, cycles
585	no	open	no	possible	graph theory, cycles
586	no	disproved	no	N/A	number theory, covering systems
587	no	solved	yes	A372040	number theory
588	$100	open	no	possible	geometry
589	no	open	no	possible	geometry
590	$250	proved	yes	N/A	set theory, ramsey theory
591	$250	open	yes	N/A	set theory, ramsey theory
592	$1000	open	yes	N/A	set theory, ramsey theory
593	$500	open	no	N/A	set theory, graph theory, hypergraphs, chromatic number
594	no	proved	no	N/A	graph theory, set theory
595	$250	open	no	N/A	graph theory, set theory
596	no	open	no	N/A	graph theory, ramsey theory, set theory
597	no	open	no	N/A	graph theory, ramsey theory, set theory
598	no	open	yes	N/A	set theory, ramsey theory
599	no	proved	no	N/A	graph theory, set theory	Erdős-Menger conjecture
600	no	open	no	possible	graph theory
601	$500	open	no	N/A	graph theory, set theory
602	no	open	no	N/A	combinatorics, set theory	Property B
603	no	open	no	N/A	combinatorics, set theory
604	$500	open	no	possible	geometry, distances	pinned distance problem
605	no	proved	no	possible	geometry, distances
606	no	solved	no	N/A	geometry
607	$250	proved	no	possible	geometry
608	no	disproved	no	N/A	graph theory
609	no	open	no	possible	graph theory, ramsey theory
610	no	open	no	possible	graph theory
611	no	open	no	N/A	graph theory
612	no	open	no	N/A	graph theory
613	no	disproved (Lean)	no	N/A	graph theory
614	no	open	no	possible	graph theory
615	no	disproved	no	possible	graph theory, ramsey theory
616	no	open	no	N/A	graph theory
617	no	falsifiable	no	N/A	graph theory
618	no	proved	no	N/A	graph theory
619	no	open	no	N/A	graph theory
620	no	open	no	possible	graph theory	Erdős-Rogers problem
621	no	proved	no	N/A	graph theory
622	no	proved	no	possible	graph theory
623	no	open	yes	N/A	set theory
624	no	open	yes	possible	combinatorics
625	$1000	open	no	N/A	graph theory, chromatic number
626	no	open	no	possible	graph theory, chromatic number, cycles
627	no	open	no	possible	graph theory, chromatic number
628	no	falsifiable	no	N/A	graph theory, chromatic number	Erdős-Lovász Tihany Conjecture
629	no	open	no	possible	graph theory, chromatic number
630	no	proved	no	N/A	graph theory, chromatic number
631	no	proved	no	N/A	graph theory, chromatic number
632	no	disproved	no	N/A	graph theory, chromatic number
633	$25	open	no	N/A	geometry
634	$25	open	no	possible	geometry
635	no	open	no	N/A	number theory
636	no	proved	no	N/A	graph theory, ramsey theory
637	no	proved	no	N/A	graph theory, ramsey theory
638	no	open	no	N/A	graph theory, ramsey theory
639	no	proved	no	N/A	graph theory, ramsey theory
640	no	open	no	N/A	graph theory, chromatic number
641	no	disproved	no	N/A	graph theory
642	no	open	no	possible	graph theory, cycles
643	no	open	no	possible	graph theory, hypergraphs
644	no	open	no	possible	combinatorics
645	no	proved (Lean)	yes	N/A	number theory, additive combinatorics, ramsey theory
646	no	proved	no	N/A	number theory, factorials
647	£25	verifiable	yes	A062249, A087280	number theory
648	no	solved	no	possible	number theory
649	no	disproved	no	possible	number theory
650	no	open	no	possible	number theory
651	no	disproved	no	possible	geometry, convex
652	no	open	no	N/A	geometry, distances
653	no	open	no	possible	geometry, distances
654	no	open	no	possible	geometry, distances
655	no	open	no	possible	geometry, distances
656	no	proved	no	N/A	number theory, additive combinatorics
657	no	open	no	possible	geometry, distances
658	no	proved	no	possible	additive combinatorics
659	no	open	yes	possible	geometry, distances
660	no	open	no	possible	geometry, distances, convex	ambiguous statement
661	$50	open	no	possible	geometry, distances
662	no	open	no	N/A	geometry, distances	ambiguous statement
663	no	open	no	A391668	number theory
664	no	disproved	no	N/A	combinatorics
665	no	open	no	N/A	combinatorics
666	no	disproved	no	possible	graph theory
667	no	open	no	N/A	graph theory, ramsey theory
668	no	open	no	possible	geometry, distances
669	no	open	no	A003035, A006065, A008997, possible	geometry	orchard problems
670	no	open	no	N/A	geometry, distances
671	$250	open	no	N/A	analysis
672	no	verifiable	yes	N/A	number theory
673	no	proved	no	N/A	number theory, divisors
674	no	proved (Lean)	no	N/A	number theory
675	no	open	no	N/A	number theory
676	no	open	no	A390181, in progress	number theory
677	no	open	yes	possible	number theory
678	no	proved	yes	possible	number theory
679	no	open	no	N/A	number theory
680	no	open	yes	N/A	number theory, primes
681	no	open	yes	A389680	number theory, primes
682	no	proved	no	A386978	number theory, primes
683	no	open	no	A006530, A074399, A121359, possible	number theory, primes, binomial coefficients
684	no	open	no	possible	number theory, primes, binomial coefficients
685	no	open	no	N/A	number theory, primes, binomial coefficients
686	no	open	yes	N/A	number theory
687	$1000	open	no	A048670, A058989	number theory
688	no	open	no	N/A	number theory
689	no	open	yes	N/A	number theory
690	no	open	no	possible	number theory
691	no	open	no	N/A	number theory
692	no	disproved	no	N/A	number theory, divisors
693	no	open	no	possible	number theory, divisors
694	no	open	yes	possible	number theory
695	no	open	yes	A061092	number theory
696	no	open	no	possible	number theory, divisors
697	no	proved	no	N/A	number theory, divisors
698	no	proved	no	possible	number theory, binomial coefficients
699	no	falsifiable	no	N/A	number theory, binomial coefficients
700	no	open	no	A091963, possible	number theory, binomial coefficients
701	no	open	no	N/A	combinatorics, intersecting family
702	no	proved	no	N/A	combinatorics
703	$250	proved	no	A390645	combinatorics
704	no	open	no	N/A	graph theory, geometry, chromatic number
705	no	open	yes	N/A	graph theory, chromatic number
706	no	open	no	possible	graph theory, chromatic number
707	$1000	disproved (Lean)	yes	N/A	additive combinatorics, sidon sets
708	$100	open	no	possible	number theory
709	no	open	no	possible	number theory
710	₹2000	open	no	A390246	number theory
711	₹1000	open	no	possible	number theory
712	$500	open	no	possible	graph theory, turan number, hypergraphs
713	$500	open	no	N/A	graph theory, turan number
714	no	open	no	possible	graph theory, turan number
715	no	proved	no	N/A	graph theory
716	no	proved	no	possible	graph theory, hypergraphs	Ruzsa-Szemerédi problem
717	no	proved	no	N/A	graph theory
718	no	proved	no	N/A	graph theory
719	no	open	no	possible	graph theory, hypergraphs
720	$100	proved	no	possible	graph theory, ramsey theory
721	no	solved	no	A171081	number theory, additive combinatorics, ramsey theory
722	no	proved	no	N/A	combinatorics
723	no	falsifiable	yes	N/A	combinatorics
724	no	open	no	A001438	combinatorics
725	no	open	no	A001009	combinatorics
726	no	open	no	N/A	number theory
727	no	open	yes	A002503, A343507	number theory, factorials
728	no	open	yes	N/A	number theory, factorials	ambiguous statement
729	no	open	no	N/A	number theory, factorials
730	no	open	yes	A129515	number theory, binomial coefficients, base representations
731	no	open	no	A006197	number theory, binomial coefficients
732	no	proved	no	N/A	combinatorics
733	no	proved	no	possible	combinatorics, geometry
734	no	open	no	possible	combinatorics
735	no	solved	no	N/A	geometry
736	no	not provable	no	N/A	graph theory, chromatic number
737	no	proved	no	N/A	graph theory, chromatic number
738	no	open	no	N/A	graph theory, chromatic number
739	no	not provable	no	N/A	graph theory, chromatic number
740	no	open	no	N/A	graph theory, chromatic number
741	no	open	no	N/A	additive combinatorics
742	no	decidable	no	N/A	graph theory
743	no	falsifiable	no	N/A	graph theory	tree packing conjecture
744	no	disproved	no	possible	graph theory, chromatic number
745	no	proved	no	N/A	graph theory
746	no	proved	no	N/A	graph theory
747	no	solved	no	N/A	combinatorics, hypergraphs
748	no	proved	no	A007865	number theory	Cameron-Erdős conjecture
749	no	open	yes	N/A	additive combinatorics
750	no	open	no	N/A	graph theory, chromatic number
751	no	disproved	no	N/A	graph theory, chromatic number
752	no	proved	no	N/A	graph theory, cycles
753	no	disproved	no	N/A	graph theory, chromatic number
754	no	proved	no	possible	geometry, distances
755	no	proved	no	possible	geometry
756	no	proved	no	possible	geometry, distances
757	no	open	no	possible	geometry, distances, sidon sets
758	no	solved	no	possible	graph theory, chromatic number
759	no	solved	no	possible	graph theory, chromatic number
760	no	proved	no	N/A	graph theory, chromatic number
761	no	open	no	N/A	graph theory, chromatic number
762	no	disproved	no	N/A	graph theory, chromatic number
763	no	disproved	no	N/A	number theory, additive combinatorics
764	no	disproved	no	N/A	number theory, additive combinatorics
765	no	solved	no	A006855	graph theory, turan number
766	no	open	no	possible	graph theory, turan number
767	no	proved	no	possible	graph theory, turan number
768	no	open	no	A001034, A352287	number theory
769	no	open	no	possible	number theory, geometry
770	no	open	no	A263647, possible	number theory
771	no	proved	no	possible	number theory
772	no	proved	no	possible	number theory, sidon sets, additive combinatorics
773	no	open	no	A390813	number theory, sidon sets, squares
774	no	open	no	N/A	number theory
775	no	disproved	no	possible	graph theory, hypergraphs
776	no	open	no	N/A	combinatorics
777	no	solved	no	N/A	graph theory, combinatorics
778	no	open	no	N/A	graph theory
779	no	falsifiable	yes	A005235	number theory, primes
780	no	proved	no	N/A	combinatorics, hypergraphs, chromatic number
781	no	disproved	no	possible	additive combinatorics
782	no	open	no	N/A	number theory
783	no	open	no	N/A	number theory
784	no	solved	no	N/A	number theory
785	no	proved	no	N/A	additive combinatorics	exact additive complements
786	no	open	yes	A143301, possible	number theory
787	no	open	no	possible	additive combinatorics
788	no	open	no	possible	additive combinatorics
789	no	open	no	possible	additive combinatorics
790	no	open	no	possible	additive combinatorics
791	no	open	no	A066063	additive combinatorics
792	no	open	no	possible	additive combinatorics
793	no	open	no	possible	number theory
794	no	disproved	no	N/A	graph theory, hypergraphs, turan number
795	no	proved	no	possible	number theory
796	no	open	no	possible	number theory
797	no	proved	no	possible	graph theory, chromatic number
798	no	proved	no	possible	geometry
799	no	proved	no	N/A	graph theory, chromatic number
800	no	proved	no	N/A	graph theory, ramsey theory
801	no	proved	no	N/A	graph theory, ramsey theory
802	no	open	no	N/A	graph theory
803	no	disproved	no	N/A	graph theory
804	no	disproved	no	possible	graph theory
805	no	open	no	possible	graph theory
806	no	proved	no	possible	additive combinatorics
807	no	disproved	no	N/A	graph theory
808	no	disproved	no	N/A	additive combinatorics, graph theory
809	no	open	no	possible	graph theory, ramsey theory
810	no	open	no	possible	graph theory, ramsey theory
811	no	open	no	possible	graph theory, ramsey theory
812	no	open	no	possible	graph theory, ramsey theory
813	no	open	no	possible	graph theory
814	no	proved	no	possible	graph theory
815	no	disproved	no	N/A	graph theory
816	no	proved	no	N/A	graph theory
817	no	open	yes	possible	additive combinatorics
818	no	proved	no	N/A	additive combinatorics
819	no	open	no	possible	additive combinatorics
820	no	open	no	A263647	number theory
821	no	open	no	A014197	number theory
822	no	proved	yes	A121048, A155085	number theory
823	no	proved	no	N/A	number theory
824	no	open	no	possible	number theory
825	$25	open	yes	A006037, A330244	number theory
826	no	open	yes	N/A	number theory
827	no	open	no	possible	geometry
828	no	open	yes	N/A	number theory
829	no	open	no	possible	number theory
830	no	open	yes	A259180	number theory
831	no	open	no	possible	geometry
832	no	disproved	no	possible	graph theory, hypergraphs, chromatic number
833	no	proved	no	possible	graph theory, hypergraphs, chromatic number
834	no	verifiable	no	N/A	graph theory, hypergraphs
835	no	verifiable	no	N/A	graph theory, hypergraphs
836	no	open	no	N/A	graph theory, hypergraphs, chromatic number
837	no	open	no	N/A	graph theory, hypergraphs
838	no	open	no	possible	geometry, convex
839	no	open	no	N/A	number theory
840	no	open	no	N/A	additive combinatorics, sidon sets
841	no	solved	no	A092487	number theory
842	no	proved	no	N/A	graph theory, chromatic number
843	no	proved	no	N/A	number theory
844	no	proved	no	N/A	number theory, intersecting family
845	no	disproved	yes	N/A	number theory
846	no	open	yes	N/A	geometry
847	no	open	no	N/A	additive combinatorics
848	no	decidable	no	N/A	number theory
849	no	open	yes	A003016, A003015, A059233, A098565, A090162, A180058, A182237	number theory, binomial coefficients	Singmaster's conjecture
850	no	open	yes	A343101	number theory, primes	Erdős-Woods conjecture
851	no	open	yes	N/A	number theory
852	no	open	no	A001223, A053597, A078515	number theory, primes
853	no	open	yes	A001223, A390769	number theory, primes
854	no	open	no	A389839, A048670	number theory
855	no	falsifiable	no	A023193	number theory, primes	second Hardy-Littlewood conjecture
856	no	open	no	possible	number theory
857	no	open	no	possible	combinatorics	weak sunflower problem
858	no	open	no	N/A	number theory, primitive sets
859	no	open	yes	N/A	number theory, divisors
860	no	open	no	possible	number theory, primes
861	no	solved	no	A143824, A227590, A003022, A143823	number theory, sidon sets
862	no	solved	no	A382395	number theory, sidon sets
863	no	open	no	N/A	number theory, sidon sets, additive combinatorics
864	no	open	no	A389182	number theory, sidon sets, additive combinatorics
865	no	open	no	possible	number theory, additive combinatorics
866	no	open	no	possible	number theory, additive combinatorics
867	no	disproved	no	possible	additive combinatorics
868	no	open	yes	N/A	number theory, additive basis
869	no	open	no	N/A	number theory, additive basis
870	no	open	no	N/A	number theory, additive basis
871	no	open	no	N/A	number theory, additive basis
872	no	open	no	possible	number theory, primitive sets
873	no	open	yes	N/A	number theory
874	no	proved	no	possible	number theory, additive combinatorics
875	no	open	no	N/A	additive combinatorics
876	no	open	no	N/A	additive combinatorics
877	no	proved	no	possible	additive combinatorics
878	no	open	no	A339378, possible	number theory
879	no	open	no	A186736	number theory
880	no	proved	no	N/A	number theory, additive basis
881	no	open	yes	N/A	number theory, additive basis
882	no	solved	no	possible	number theory, primitive sets
883	no	open	no	N/A	number theory, graph theory
884	no	open	no	N/A	number theory, divisors
885	no	open	no	N/A	number theory, divisors
886	no	open	no	N/A	number theory, divisors
887	no	open	no	N/A	number theory, divisors
888	no	open	yes	A387584	number theory, squares
889	no	open	yes	possible	number theory
890	no	open	no	N/A	number theory, primes
891	no	open	no	N/A	number theory
892	no	open	no	N/A	number theory, primitive sets
893	no	open	yes	A046801, possible	number theory, divisors
894	no	proved	no	N/A	number theory, ramsey theory
895	no	proved	no	N/A	additive combinatorics, graph theory
896	no	open	no	possible	number theory
897	no	disproved (Lean)	yes	N/A	number theory
898	no	proved	no	N/A	geometry	Erdős-Mordell inequality
899	no	proved	yes	N/A	additive combinatorics
900	no	proved	no	N/A	graph theory
901	no	open	no	possible	combinatorics, hypergraphs
902	no	open	no	A362137	graph theory
903	no	proved	no	N/A	combinatorics
904	no	proved	no	N/A	graph theory
905	no	proved	no	N/A	graph theory
906	no	open	no	N/A	analysis, iterated functions
907	no	proved	no	N/A	analysis
908	no	proved	no	N/A	analysis
909	no	proved	no	N/A	analysis, topology
910	no	disproved	no	N/A	topology
911	no	open	no	N/A	graph theory, ramsey theory
912	no	open	no	A071626	number theory, factorials
913	no	open	yes	A359747	number theory
914	no	proved	no	N/A	graph theory
915	no	solved	no	N/A	graph theory
916	no	proved	no	N/A	graph theory, cycles
917	no	open	no	N/A	graph theory, chromatic number
918	no	open	yes	N/A	graph theory, chromatic number
919	no	open	no	N/A	graph theory, chromatic number
920	no	open	no	possible	graph theory, chromatic number
921	no	proved	no	possible	graph theory, chromatic number, cycles
922	no	proved	no	N/A	graph theory, chromatic number
923	no	proved	no	N/A	graph theory, chromatic number
924	no	proved	no	N/A	graph theory, ramsey theory
925	no	disproved	no	possible	graph theory, ramsey theory
926	no	proved	no	possible	graph theory
927	no	disproved	no	possible	graph theory
928	no	open	no	A006530	number theory
929	no	open	no	possible	number theory
930	no	open	yes	N/A	number theory
931	no	open	yes	N/A	number theory
932	no	open	yes	A387864	number theory
933	no	open	no	possible	number theory
934	no	open	no	possible	graph theory
935	no	open	no	A057521, A389244, possible	number theory
936	no	open	yes	A146968, possible	number theory
937	no	proved	no	possible	number theory
938	no	open	yes	A001694, possible	number theory
939	no	open	yes	possible	number theory
940	no	open	yes	possible	number theory
941	no	proved	no	N/A	number theory
942	no	open	yes	possible	number theory
943	no	open	yes	possible	number theory
944	no	open	yes	N/A	graph theory, chromatic number
945	no	open	yes	possible, A048892	number theory, divisors
946	no	proved	yes	A005237, A284783	number theory, divisors
947	no	proved	no	N/A	number theory, covering systems
948	no	open	no	N/A	number theory, ramsey theory
949	no	open	yes	N/A	ramsey theory
950	no	open	no	N/A	number theory, primes
951	no	open	no	N/A	number theory
952	no	open	yes	N/A	number theory	Gaussian moat problem
953	no	open	no	N/A	geometry, distances
954	no	open	no	A390642	number theory
955	no	open	no	possible	number theory
956	no	open	no	possible	geometry, distances, convex
957	no	proved	no	N/A	geometry, distances
958	no	disproved (Lean)	no	N/A	distances, geometry
959	no	open	no	N/A	geometry, distances
960	no	open	no	possible	geometry
961	no	open	yes	possible	number theory
962	no	open	no	A327909	number theory
963	no	open	no	possible	number theory
964	no	proved	no	N/A	number theory, divisors
965	no	open	no	N/A	ramsey theory
966	no	proved	no	N/A	number theory, additive combinatorics, ramsey theory
967	no	disproved (Lean)	no	N/A	number theory, analysis
968	no	open	no	A387591	number theory
969	no	open	no	A013928	number theory
970	no	open	no	A048669	number theory	Jacobsthal's function
971	no	open	no	A226521	number theory
972	no	open	yes	N/A	number theory
973	no	open	no	N/A	analysis
974	no	proved	no	N/A	analysis
975	no	open	yes	A147807, possible	number theory, divisors
976	no	open	no	N/A	number theory
977	no	proved	no	A005420, A002583	number theory
978	no	open	no	possible	number theory
979	no	open	yes	A385316, possible	number theory
980	no	proved	no	A053760, A098990, possible	number theory
981	no	proved	no	N/A	number theory
982	no	falsifiable	yes	A004526	geometry, convex, distances
983	no	open	no	possible	number theory
984	no	proved	no	N/A	arithmetic progressions, additive combinatorics
985	no	open	yes	A002233, A219429, A103309, possible	number theory
986	no	open	no	A000791, A059442	graph theory, ramsey theory
987	no	open	no	N/A	analysis, discrepancy
988	no	solved	no	possible	discrepancy
989	no	solved	no	possible	discrepancy
990	no	open	no	N/A	analysis
991	no	proved	no	N/A	discrepancy
992	no	open	no	N/A	discrepancy
993	no	falsifiable	no	possible	graph theory
994	no	disproved	no	N/A	analysis, discrepancy
995	no	open	no	N/A	analysis, discrepancy
996	no	open	yes	N/A	analysis
997	no	open	no	N/A	analysis, discrepancy, primes
998	no	proved	no	N/A	analysis, diophantine approximation
999	no	proved	no	N/A	number theory, diophantine approximation	Duffin-Schaeffer conjecture
1000	no	proved (Lean)	no	N/A	number theory, diophantine approximation
1001	no	solved	no	N/A	number theory, diophantine approximation
1002	no	open	no	N/A	analysis, diophantine approximation
1003	no	open	yes	A001274	number theory
1004	no	open	yes	possible	number theory
1005	no	open	no	A386893	number theory
1006	no	disproved	no	N/A	graph theory, cycles
1007	no	solved	no	N/A	graph theory
1008	no	proved	no	N/A	graph theory
1009	no	proved	no	N/A	graph theory
1010	no	proved	no	N/A	graph theory
1011	no	open	no	possible	graph theory
1012	no	solved	no	?	graph theory
1013	no	open	no	A292528	graph theory
1014	no	open	no	possible	graph theory
1015	no	solved	no	possible	graph theory, ramsey theory
1016	no	open	no	A105206	graph theory, cycles	pancyclic graphs
1017	no	open	no	possible	graph theory
1018	no	solved	no	N/A	graph theory, planar graphs
1019	no	proved	no	N/A	graph theory, planar graphs
1020	no	falsifiable	no	N/A	graph theory, hypergraphs	Erdős matching conjecture
1021	no	open	no	N/A	graph theory
1022	no	open	no	possible	combinatorics, hypergraphs	literature review sought
1023	no	solved	no	possible	combinatorics
1024	no	solved	no	possible	graph theory, hypergraphs
1025	no	solved	no	possible	combinatorics
1026	no	solved (Lean)	no	A391431, A391490	combinatorics
1027	no	proved	no	N/A	combinatorics
1028	no	solved	no	possible	graph theory, discrepancy
1029	$100	open	no	possible	graph theory, ramsey theory
1030	no	open	no	A000791, A059442	graph theory, ramsey theory
1031	no	proved	no	possible	graph theory
1032	no	open	no	possible	graph theory, chromatic number
1033	no	open	no	possible	graph theory
1034	no	disproved (Lean)	no	possible	graph theory
1035	no	open	no	possible	graph theory
1036	no	proved	no	possible	graph theory
1037	no	disproved	no	N/A	graph theory
1038	no	open	no	N/A	analysis
1039	no	open	no	N/A	analysis
1040	no	open	no	N/A	analysis
1041	no	falsifiable	yes	N/A	analysis
1042	no	proved	no	N/A	analysis
1043	no	disproved (Lean)	yes	N/A	analysis
1044	no	open	no	N/A	analysis
1045	no	falsifiable	no	N/A	analysis
1046	no	disproved	no	N/A	analysis
1047	no	disproved	no	N/A	analysis
1048	no	disproved	no	N/A	analysis
1049	no	open	no	N/A	irrationality
1050	no	proved	no	A331372	irrationality
1051	no	open	yes	N/A	irrationality
1052	$10	open	yes	A002827	number theory	unitary perfect numbers
1053	no	open	no	A007539	number theory	multiply perfect numbers
1054	no	open	yes	A167485	number theory, divisors
1055	no	open	yes	A005113	number theory, primes
1056	no	open	yes	A060427	number theory
1057	no	open	no	A006931	number theory	Carmichael numbers
1058	no	proved	no	N/A	number theory
1059	no	open	yes	A064152	number theory, primes
1060	no	open	yes	A327153	number theory
1061	no	open	no	A110177, possible	number theory
1062	no	open	no	A038372	number theory
1063	no	open	no	A389360	number theory
1064	no	proved	yes	A051488, A051487	number theory
1065	no	open	yes	A074781, A339465	number theory
1066	no	open	no	possible	graph theory, planar graphs
1067	no	disproved	no	N/A	graph theory, set theory
1068	no	open	no	N/A	graph theory, set theory, chromatic number
1069	no	solved	no	possible	geometry
1070	no	open	no	possible	geometry
1071	no	open	no	N/A	geometry
1072	no	open	yes	A154554	number theory
1073	no	open	yes	A256519	number theory
1074	no	open	yes	A063980, A064164	number theory
1075	no	open	no	N/A	hypergraphs
1076	no	proved	no	possible	hypergraphs
1077	no	disproved	yes	N/A	graph theory
1078	no	proved	no	N/A	graph theory
1079	no	solved	no	N/A	graph theory, turan number
1080	no	disproved (Lean)	yes	possible	graph theory
1081	no	disproved	no	A076871, A076872, possible	number theory, powerful
1082	no	falsifiable	no	possible	geometry, distances
1083	no	open	no	possible	geometry, distances
1084	no	open	yes	possible	geometry, distances
1085	no	open	no	possible	geometry, distances
1086	no	open	no	possible	geometry, distances
1087	no	open	no	possible	geometry, distances
1088	no	open	no	possible	geometry
1089	no	open	no	possible	geometry, distances
1090	no	proved	no	N/A	geometry, ramsey theory
1091	no	open	no	N/A	geometry, chromatic number
1092	no	open	no	N/A	geometry, chromatic number
1093	no	open	yes	N/A	number theory, binomial coefficients
1094	no	open	yes	N/A	number theory, binomial coefficients
1095	no	open	yes	A003458	number theory, binomial coefficients
1096	no	open	no	N/A	number theory
1097	no	open	yes	N/A	number theory, additive combinatorics
1098	no	proved	no	N/A	group theory
1099	no	proved	no	N/A	number theory, divisors
1100	no	open	no	A325864, possible	number theory, divisors
1101	no	open	yes	N/A	number theory
1102	no	solved	yes	N/A	number theory
1103	no	open	no	N/A	number theory
1104	no	open	yes	possible	graph theory, chromatic number
1105	no	open	no	possible	graph theory, ramsey theory
1106	no	open	yes	A194259, A194260	number theory
1107	no	open	yes	possible	number theory, powerful
1108	no	open	yes	A051761, A115645, A025494	number theory, factorials
1109	no	open	no	possible	number theory
1110	no	open	no	possible	number theory
1111	no	open	no	possible	graph theory
1112	no	open	no	N/A	additive combinatorics
1113	no	open	no	A076336	number theory, covering systems	Sierpinski numbers
1114	no	proved	no	N/A	analysis, polynomials
1115	no	solved	no	N/A	analysis
1116	no	solved	no	N/A	analysis
1117	no	open	no	N/A	analysis
1118	no	solved	no	N/A	analysis
1119	no	open	no	N/A	analysis, set theory
1120	no	open	no	N/A	analysis
1121	no	proved	no	N/A	geometry
1122	no	open	no	N/A	number theory
1123	$100	not provable	no	N/A	algebra
1124	no	proved	no	N/A	geometry
1125	no	proved	no	N/A	analysis
1126	no	proved	no	N/A	analysis
1127	no	independent	no	N/A	geometry, distances, set theory
1128	$50	disproved	no	N/A	set theory, ramsey theory, hypergraphs