My question is the same as above. I am still a novice in Diophantine Equations(I only know linear Diophantine Equations) and Number Theory so I do not have much notion of what to do to solve this question. Any help will be much appreciated.
2026-04-04 13:08:38.1775308118
Find the integral solutions for the following diophantine equation: $85 + 1156k = m^2$
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HINT:
$85+1156k=17(5+17\cdot4k)\implies17|m\implies17^2|m^2$
But $17^2\nmid85$ and $17^2|1156$