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 Aug27 comment Generating integer solutions to $4mn - m^2 + n^2 = ±1$ Got it! Thank you for your answer Aug27 comment Generating integer solutions to $4mn - m^2 + n^2 = ±1$ Can you explain the completing the square method in this case? I'm not sure what value I should add and subtract exactly Aug27 awarded Commentator Aug27 comment How many integer solutions to a diophantine equation @MichaelBoratko And to what extent can this be verified? If I had not included the first equation in my question, would you have known this is a PE problem? Would this not affect the amount of answers I would be receiving? Aug27 asked Generating integer solutions to $4mn - m^2 + n^2 = ±1$ Aug27 awarded Promoter Aug25 accepted How many numbers less than $x$ are co-prime to $x$ Aug25 asked How many numbers less than $x$ are co-prime to $x$ Aug25 comment How to solve $100x +19 =0 \pmod{23}$ How did you get from (-19/100) to (4/100) and from (1/25 ) to (1/2) ??? Aug25 asked How to solve $100x +19 =0 \pmod{23}$ Aug21 accepted Finding integer solutions to $m$ and $n$ Aug19 accepted For what values of $x$ would $nx \equiv 0\pmod{(x-n)}$? Aug19 comment For what values of $x$ would $nx \equiv 0\pmod{(x-n)}$? And how can I solve that? Or can you point me in the right direction? Aug19 asked For what values of $x$ would $nx \equiv 0\pmod{(x-n)}$? Aug18 comment How many integer solutions to a diophantine equation I don't understand how you can't discuss Project Euler problems when there is an entire tag with 44 questions about PE. Aug18 awarded Editor Aug18 comment How many integer solutions to a diophantine equation Yes it is, but no where in my question did I ask for an answer to the problem, I asked specifically for integer solutions when given $n$ and $p$. My actual question is purely mathematical. Aug18 revised How many integer solutions to a diophantine equation added 97 characters in body Aug18 awarded Supporter Aug18 asked How many integer solutions to a diophantine equation