let a ,b integer and C=a^2 +b^2 Prove that there exist a_n and b_n all integers such as C^n =a_n ^2 +b_n ^2 explicit a_5 and b


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Question Number 90730 by ~blr237~ last updated on 25/Apr/20

$l e t a, b i n t e g e r a n d C = a^{2} + b^{2}$ $P r o v e t h a t t h e r e e x i s t a_{n} a n d b_{n} a l l$ $i n t e g e r s s u c h a s C^{n} = a_{n}^{2} + b_{n}^{2}$ $e x p l i c i t a_{5} a n d b_{5} i n t e r m o f a a n d b$
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