Erdős problem 313 · problems.science

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: $\sum_{p \in P} \frac{1}{p} = 1 - \frac{1}{m}$ ?

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5 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

313.lean

Retained formal statement2 of 5

There are at least 8 primary pseudoperfect numbers. The first eight terms of [A54377](https://oeis.org/A54377) are exhibited together with their explicit prime decompositions.

FormalConjectures/ErdosProblems/313.leanErdos313.erdos_313.variants.exists_at_least_eight_primary_pseudoperfect1 lineExact file

18 ≤ {n | Erdos313.IsPrimaryPseudoperfect n}.encard

TextbookStatement only, no proof

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