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Results tagged with pythagorean-triples
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user 164119
For questions about Pythagorean triples which are triples of positive integers $(a, b, c)$ satisfying $a^2 + b^2 = c^2$.
5
votes
Pythagorean triples and quadratic residues modulo primes
The Conjecture 1 is true. We are looking for integers $m, n$ such that for sufficiently large prime $p$ we have
$$
x_{1}^2\equiv 2mn\pmod{p},\quad x_{2}^2\equiv m^2-n^2\pmod{p}, \quad x_{1}^2\equiv m^ …
- 801