MathDB

4

Part of 2004 Canada National Olympiad

Problems(1)

congruence

Source: Canada 2004

6/26/2009
Let pp 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}
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