If
is an integer, then for every residue class
(mod
), there are infinitely many nonnegative integers
for which
, where
is the partition function
P.
Newman's Conjecture
See also
Erdős-Ivić Conjecture, Partition Function PExplore with Wolfram|Alpha
References
Newman, M. "Periodicity ModuloReferenced on Wolfram|Alpha
Newman's ConjectureCite this as:
Weisstein, Eric W. "Newman's Conjecture." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NewmansConjecture.html