Erdős problem 138 · problems.science

If $W(k)$ is the least $N$ such that every two-colouring of $\{1, \dots, N\}$ contains a monochromatic $k$ -term arithmetic progression, must $W(k+1) - W(k) \to \infty$ ?

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10 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

138.lean

Retained formal statement8 of 9

FormalConjectures/ErdosProblems/138.leanErdos138.monoAPNumber_two_one1 lineExact file

1Erdos138.W 1 = 1

TestProof has a holeformal conjecturesexternal proof

The proof uses `sorry`: part of the argument is written but not proved. Lean accepts the file; it does not accept the theorem.

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