Can the Prime Factorization of A + B Reveal Insights About Coprime Numbers?

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If I have two coprime numbers A and B, can anything be said about the structure of the prime factorization of A + B?
 
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epkid08 said:
If I have two coprime numbers A and B, can anything be said about the structure of the prime factorization of A + B?

Not really. Clearly then gcd(A + B, A) = 1 = gcd(A + B, B) so none of the prime factors from A or B will be in A + B, but beyond that...
 
Thread 'Derivation of equations of stress tensor transformation'

Thread 'Derivation of equations of stress tensor transformation'

Hello ! I derived equations of stress tensor 2D transformation. Some details: I have plane ABCD in two cases (see top on the pic) and I know tensor components for case 1 only. Only plane ABCD rotate in two cases (top of the picture) but not coordinate system. Coordinate system rotates only on the bottom of picture. I want to obtain expression that connects tensor for case 1 and tensor for case 2. My attempt: Are these equations correct? Is there more easier expression for stress tensor...
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