MathDB
Putnam 1996 A5

Source:

June 4, 2014
Putnamfloor functioncollege contests

Problem Statement

Let pp be a prime greater than 33. Prove that p2∣∑i=1⌊2p3⌋(pi). p^2\Big| \sum_{i=1}^{\left\lfloor\frac{2p}{3}\right\rfloor}\dbinom{p}{i}.
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