I want to solve equation [itex]x(x+1)+y(y+1)=z(z+1)[/itex] over primes. I found a solution x=y=2, z=3 and I have a hypothesis that this is the only solution over prime numbers, but I cannot prove it or find any other solution. Any hints, please?(adsbygoogle = window.adsbygoogle || []).push({});

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# Finding all prime solutions

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