Erdős problem 342 · problems.science

$a(3) = 4$ : among sums $> 3$ with a unique representation from $\{1,2,3\}$ , the smallest is $4 = 1 + 3$ . The candidate $5 = 2 + 3$ is ruled out by minimality since $4$ has a unique representation.

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7 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

342.lean

Retained formal statement1 of 7

Do infinitely many pairs $(a, a+2)$ occur in Ulam's sequence?

FormalConjectures/ErdosProblems/342.leanErdos342.erdos_342.parts.i1 lineExact file

1sorry ↔ ∀ (a : ℕ → ℕ), Erdos342.IsUlamSequence a → {n | ∃ m, a m = a n + 2}.Infinite

OpenStatement only, no proof

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