Erdős problem 677 · problems.science

Denote by $M(n, k)$ the least common multiple of the finite set $\{n+1, \dotsc, n+k\}$ . Is it true that for all $m \geq n + k$ , we get $M(m, k) \neq M(n, k)$ ?

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2 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

677.lean

Retained formal statement2 of 2

Erdős expected very few solutions for $M(n, k) = M(m, l)$ , where $m \geq n + k$ and $l > 1$ . The only solutions he knew were the following.

FormalConjectures/ErdosProblems/677.leanErdos677.lcmInterval_eq_example11 lineExact file

1Finset.lcmInterval 4 3 = Finset.lcmInterval 13 2 ∧ Finset.lcmInterval 3 4 = Finset.lcmInterval 19 2

TestStatement only, no proof

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