congruence
Source: Canada 2004
June 26, 2009
modular arithmeticnumber theory proposednumber theory
Problem Statement
Let be an odd prime. Prove that:
\displaystyle\sum_{k\equal{}1}^{p\minus{}1}k^{2p\minus{}1} \equiv \frac{p(p\plus{}1)}{2} \pmod{p^2}