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21 distinct prime divisors

Source: Korea National Olympiad 2010 Problem 1

September 9, 2012
modular arithmeticlogarithmsnumber theory proposednumber theory

Problem Statement

Prove that 7220+7219+1 7^{2^{20}} + 7^{2^{19}} + 1 has at least 21 21 distinct prime divisors.
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