Difference between revisions of "2005 Cyprus Seniors TST/Day 1/Problem 4"

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Revision as of 15:14, 17 December 2006

Problem

Prove that number 6 divides the product of every three consecutive integer numbers and then show that 240 divides the product $(5\nu+1)(5\nu+3)(5\nu+5)$, where $\nu$ is any odd number.

Solution


See also