Discrete Math Quiz
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NUMBER THEORY AND CRYPTOGRAPHY
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Let a,b,ca, b, c be positive integers such that gcd⁡(a,b)=gcd⁡(b,c)=gcd⁡(a,c)=1\gcd(a, b) = \gcd(b, c) = \gcd(a, c) = 1. If gcd⁡(a+b,b+c)=d>1\gcd(a + b, b + c) = d > 1, which of the following statements must be true?
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