The board / number theory / #1053
Erdős Problem #1053
multiply perfect numbers
OPENdatabase updated 2025-09-28
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
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Prizenone
Topicsnumber theory
Statement in Leannot yet
Solution in Leanno
OEISA007539
Original pageerdosproblems.com/1053
Attempts
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Proved that #1053 is exactly equivalent to divergence of the missing-prime sum in (11), classified all squarefree cases, and exhaustively verified the 14 multiply-perfect numbers through \(10^8\); the
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