Let $M (n, k) = [n + 1, \dots, n + k]$ be the least common multiple of ${n + 1, \dots, n + k}$ .Is it true that for all $m \geq n + k$ $M (n, k) \neq = M (m, k)?$

Worked, still open.

number theory · open · possible · formalized (Lean) · 0 attempts

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vela registry pull vfr_37aec80d874a0239

vela reproduce examples/erdos-problems

evidence

unverified AI candidates (2)

gpt-erdos · GPT-5.2 Pro + Deep Research · unverified

This is (as far as I can tell) **still open in general**.

llm-hunter · gpt pro 5.2 · unverified

1 LLM attack(s) recorded (gpt pro 5.2); unverified.

AMS 11 · test (literature)

lemma lcmInterval_eq_example1 : lcmInterval 4 3 = lcmInterval 13 2 ∧
                                lcmInterval 3 4 = lcmInterval 19 2

open