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CNCM Online R2P3

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August 8, 2020

CNCMProblem Discussion

Problem Statement

An ordered pair

(n,p)

is juicy if

n^{2} \equiv 1 \pmod{p^{2}}

and

n \equiv -1 \pmod{p}

for positive integer

n

and odd prime

p

. How many juicy pairs exist such that

n,p \leq 200

?
Proposed by Harry Chen (Extile)

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