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p+q^2+r^3=200 diophantine in primes

Source: XV May Olympiad (Olimpiada de Mayo) 2009 L1 P2

September 22, 2022
number theorydiophantineDiophantine equation

Problem Statement

Find prime numbers p,q,rp , q , r such that p+q2+r3=200p+q^2+r^3=200. Give all the possibilities.
Remember that the number 11 is not prime.
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