MathDB

8

Part of 2007 Korea Junior Math Olympiad

Problems(1)

prime of the year, n^2 +1 \equiv 0 mod p^{2007}

Source: KJMO 2007 p8

5/2/2019
Prime pp is called Prime of the Year if there exists a positive integer nn such that n2+1≡0n^2+ 1 \equiv 0 (modp2007mod p^{2007}). Prove that there are infi nite number of Primes of the Year.
number theoryprimepositive integerdivisornumber theory proposed