MathDB

2

Part of 2004 Silk Road

Problems(1)

International competition SRMC 2004 P-2

Source:

9/7/2010
find all primes pp, for which exist natural numbers, such that p=m2+n2p=m^2+n^2 and p∣(m3+n3−4)p|(m^3+n^3-4).
number theory proposednumber theory