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Erdős problem 313

Are there infinitely many pairs (m, P) where m ≥ 2 is an integer and P is a set of distinct primes such that the following equation holds: pP1p=11m\sum_{p \in P} \frac{1}{p} = 1 - \frac{1}{m}?

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5 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

313.lean

Retained formal statement3 of 5

It is conjectured that the set of primary pseudoperfect numbers is infinite.

FormalConjectures/ErdosProblems/313.leanErdos313.erdos_313.variants.primary_pseudoperfect_are_infinite1 lineExact file
{n | Erdos313.IsPrimaryPseudoperfect n}.Infinite
OpenStatement only, no proof

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