MathDB
2011 Tournament of Towns, oral round, p5

Source:

March 28, 2011
number theory unsolvednumber theory

Problem Statement

Find all positive integers a,ba,b such that b619b^{619} divides a1000+1a^{1000}+1 and a619a^{619} divides b1000+1b^{1000}+1.
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