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Erdős problem 306

If a/b∈Q>0a/b \in \mathbb{Q}_{>0} and bb is squarefree, can a/ba/b always be written as a finite sum of reciprocals of distinct products of two distinct primes?

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Retained declaration

FormalConjectures/ErdosProblems/306.lean

Formal Conjectures

FormalConjectures/ErdosProblems/306.leanErdos306.erdos_30610 linesExact file
True ↔  ∀ (q : ℚ),    0 < q →      Squarefree q.den →        ∃ k n,          n 0 = 1 ∧            StrictMono n ∧              (∀ i ∈ Finset.Icc 1 (Fin.last k),                  ArithmeticFunction.cardDistinctFactors (n i) = 2 ∧ ArithmeticFunction.cardFactors (n i) = 2) ∧                q = ∑ i ∈ Finset.Icc 1 (Fin.last k), 1 / ↑(n i)
OpenStatement only, no proof

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Work these sources record against this Problem. Source-reported attribution, not reviewed here.

  • AI collaborating with humans

    Erdős AI contributions wiki · 17 Jun, 2026

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    Claude, Claude Code
    People
    Shisheng Li
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  • AI collaborating with humans

    Erdős AI contributions wiki · 19 Jun, 2026

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    Unspecified
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    Yuren Tang
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  • argument

    VibeMathed

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    AI-assisted Lean development (models not itemized)
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    candidate
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