Giuga's Conjecture on Primality

Importance: Medium ✭✭
Author(s): Giuseppe Giuga
Subject: Number Theory
Keywords: primality
Recomm. for undergrads: no
Posted by: princeps
on: March 27th, 2012
Conjecture   $ p $ is a prime iff $ ~\displaystyle \sum_{i=1}^{p-1} i^{p-1} \equiv -1 \pmod p $


[BBBG] Borwein, D.; Borwein, J. M., Borwein, P. B., and Girgensohn, R. "Giuga's Conjecture on Primality", American Mathematical Monthly, 103, 40–50, (1996)

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