Sieve methods for odd perfect numbers

DOI10.1090/S0025-5718-2011-02576-7zbMath1268.11004WikidataQ114093831 ScholiaQ114093831MaRDI QIDQ2894533

Pace P. Nielsen, Pascal Ochem, S. Adam Fletcher

Publication date: 29 June 2012

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

large sieveabundanceodd perfect numberfactor chains

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Arithmetic functions; related numbers; inversion formulas (11A25) Factorization; primality (11A51) Computational number theory (11Y99)

Related Items (6)

On the number of total prime factors of an odd perfect number ⋮ An exponential diophantine equation related to odd perfect numbers ⋮ Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors ⋮ Unnamed Item ⋮ On the divisibility of odd perfect numbers, quasiperfect numbers and amicable numbers by a high power of a prime ⋮ Quasiperfect numbers with the same exponent

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