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Omni-MATH / An ordered pair (a,b) of positive integers is called spicy if gcd(a+b,ab+1)=1. Compute the probability that both (99,n) and (101,n) are spicy when n is chosen from 1,2,…,2024 uni… · Discussion

Discussing An ordered pair (a,b) of positive integers is called spicy if gcd(a+b,ab+1)=1. Compute the probability that both (99,n) and (101,n) are spicy when n is chosen from {1,2,…,2024} uni… · Omni-MATH

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