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Part of 2015 JBMO TST - Turkey

Problems(1)

Source: 2015 Turkey JBMO TST

p,q

be prime numbers such that their sum isn't divisible by

3

(p,q,r,n)

positive integer quadruples satisfy:

p+q=r(p-q)^n

Proposed by Şahin Emrah

number theoryprime numbers