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Omni-MATH / Let N be the number of triples of positive integers (a,b,c) satisfying a≤b≤c, gcd(a,b,c)=1, abc=6²⁰²⁰. Compute the remainder when N is divided by 1000. · Discussion

Discussing Let N be the number of triples of positive integers (a,b,c) satisfying a≤b≤c, gcd(a,b,c)=1, abc=6²⁰²⁰. Compute the remainder when N is divided by 1000. · Omni-MATH

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