MathDB

3

Part of 2012 Dutch Mathematical Olympiad

Problems(1)

diophantine with prime p, p^3 + m(p + 2) = m^2 + p + 1

Source: Dutch NMO 2012 p3

9/6/2019
Determine all pairs (p,m)(p,m) consisting of a prime number pp and a positive integer mm, for which p3+m(p+2)=m2+p+1p^3 + m(p + 2) = m^2 + p + 1 holds.
number theoryDiophantine equationdiophantine