Number Theory

   

Generalized Pythagorean Triples:$(a1)^2+(b1)^2+...+(bn)^2=(cn)^2$

Authors: Chun-Xuan Jiang

In $ a^2+b^2=c^2$ there are infinitely many primes a and c solutions.The generalized Pythagoren triples:$(a1)^2+(b1)^2+...+(bn)^2=(cn)^2 $ has infinitely many integer solutions.There are infinitely many primes a1=p such that c1,... cn are all prime.

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[v1] 2012-04-12 21:15:39

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