There are infinitely many primes m which divide some value of the partition function P.
Newman's Conjecture, Partition Function P
Erdos, P. and Ivic, A. "The Distribution of Certain Arithmetical Functions at Consecutive Integers." In Proc. Budapest Conf. Number Th., Coll. Math. Soc. J. Bolyai 51, 45-91, 1989.
Ono, K. "Distribution of the Partition Functions Modulo m." Ann. Math. 151, 293-307, 2000.
Eric W. Weisstein. "Erdos-Ivic Conjecture."
From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Erdos-IvicConjecture.html
 |
|||
|
|
||
© 1999-2005 Wolfram Research, Inc.