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### Questions (15)

 22 Variation of Pythagorean triplets: $x^2+y^2 = z^3$ 6 $x^4 - y^4 = 2z^2$ has no solution 5 If $x^4 \equiv -1 \mod p$ then $p \equiv 1 \mod 8$ 3 If $2^k -1$ is a perfect square, do we have more than one solution? 2 sum of the product of consecutive legendre symbols is -1

### Reputation (328)

 +5 If $x^4 \equiv -1 \mod p$ then $p \equiv 1 \mod 8$ +15 Variation of Pythagorean triplets: $x^2+y^2 = z^3$ +5 Minimize Energy using Gauss-Seidel method with successive over- relaxation. +5 sum of the product of consecutive legendre symbols is -1

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### Tags (15)

 0 number-theory × 7 0 optimization × 2 0 elementary-number-theory × 4 0 polynomials 0 linear-algebra × 2 0 legendre-symbol 0 diophantine-equations × 2 0 summation 0 prime-numbers × 2 0 graph-theory

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