PPL 037 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.26
Prize Problem LedgerErdősPPL 037Erdős Problem #1052

Permanent problem IDPPL 037

Verified openErdősconjecture

Number theory

Erdős Problem #1052

A unitary divisor of n is d∣ n such that (d,n/d)=1. A number n≥ 1 is a unitary perfect number if it is the sum of its unitary divisors (aside from n itself). Are there only finite many unitary perfect numbers?

number theory
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The problem

A unitary divisor of n is d∣ n such that (d,n/d)=1. A number n≥ 1 is a unitary perfect number if it is the sum of its unitary divisors (aside from n itself). Are there only finite many unitary perfect numbers?

Open since2004source estimate
Last checked2026.07.26Catalog verification
02

Reward offers

Offer 01$10Paul Erdős / Combinatorics Foundation
Documented

A solution must appear in a reputable journal, with documentation that Erdős offered the displayed amount. Claims are administered by the Combinatorics Foundation; erdosproblems.com does not pay awards.

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Sources & reading