MathDB
czech republic,third round,2009,problem 1

Source:

February 25, 2012
modular arithmeticnumber theory proposednumber theory

Problem Statement

Knowing that the numbers p,3p+2,5p+4,7p+6,9p+8p, 3p+2, 5p+4, 7p+6, 9p+8, and 11p+1011p+10 are all primes, prove that 6p+116p+11 is a composite number.
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