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Erdős Problems

1,217 source-owned questions · 604 with a formal statement · searchable by statement, number, topic and source status.

Collection coverage

Collection coverage

Source status, exact formal material, and reviewed Results are separate signals.

  • Open per source608
  • Resolved per source556
  • Other source status53
Exact formal statement available604 / 1,217
With Repository-reviewed evidence2 / 1,217
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Coverage is source-observation coverage, not Problem completeness. Inspect coverage

Problems

114 Problems

3/3

NumberQuestionOpen
#1015No statement retained — open to read what the source holdssolvedNo formal declaration
#1029No statement retained — open to read what the source holdsopenNo formal declaration
#1030No statement retained — open to read what the source holdsopenNo formal declaration
#1090Let k3k\geq 3. Does there exist a finite set AR2A\subset \mathbb{R}^2 such that, in any 22-colouring of AA, there exists a line which contains at least kk points from AA, and all the points of AA on the line have the same colour?proved (Lean)Formalized
#1105The anti-Ramsey number AR(n,G)\mathrm{AR}(n,G) is the maximum possible number of colours in which the edges of KnK_n can be coloured without creating a rainbow copy of GG (i.e. one in which all edges have different colours).provedFormalized
#1128Erdős Problem 1128 (disproved by Prikry–Mills, 1978):disprovedFormalized
#1168No statement retained — open to read what the source holdsopenNo formal declaration
#1169No statement retained — open to read what the source holdsnot disprovableNo formal declaration
#1170No statement retained — open to read what the source holdsopenNo formal declaration
#1171No statement retained — open to read what the source holdsopenNo formal declaration
#1172No statement retained — open to read what the source holdsopenNo formal declaration
#1174No statement retained — open to read what the source holdsnot disprovableNo formal declaration
#1182No statement retained — open to read what the source holdsopenNo formal declaration
#1183No statement retained — open to read what the source holdsopenNo formal declaration
#1198No statement retained — open to read what the source holdsdisprovedNo formal declaration
#1199Is it true that in any 2-colouring of N\mathbb{N} there exists an infinite set AA such that all elements of A+AA+A are the same colour?openFormalized
#1211No statement retained — open to read what the source holdssolvedNo formal declaration
#1216No statement retained — open to read what the source holdsdisprovedNo formal declaration

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