Integer partitions detect the primes

We show that integer partitions, the fundamental building blocks in additive number theory, detect prime numbers in an unexpected way. Answering a question of Schneider, we show that the primes are the solutions to special equations in partition functions. For example, an integer ≥ 2 is prime if and...

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Bibliographic Details

Published in:	Proceedings of the National Academy of Sciences - PNAS Vol. 121; no. 39; p. e2409417121
Main Authors:	Craig, William, van Ittersum, Jan-Willem, Ono, Ken
Format:	Journal Article
Language:	English
Published:	United States 24.09.2024
Subjects:	partitions quasimodular forms primes
ISSN:	1091-6490, 1091-6490
Online Access:	Get more information
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