MathDB

3

Part of CNCM Online Round 2

Problems(1)

CNCM Online R2P3

Source:

8/8/2020
An ordered pair (n,p)(n,p) is juicy if n2≡1(modp2)n^{2} \equiv 1 \pmod{p^{2}} and n≡−1(modp)n \equiv -1 \pmod{p} for positive integer nn and odd prime pp. How many juicy pairs exist such that n,p≤200n,p \leq 200?
Proposed by Harry Chen (Extile)
CNCMProblem Discussion