Modulo arithmetic all square pairs












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Let $n, minmathbb{N}, nneq0$. Find the number of all pairs $(i,j)$ such that $(i^2+j^2) bmod m =0, i,j=1..n$




I want to do this in the least amount of steps.. All I can think about is that $(a+b)bmod m=(abmod m+bbmod m)bmod m$










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    0















    Let $n, minmathbb{N}, nneq0$. Find the number of all pairs $(i,j)$ such that $(i^2+j^2) bmod m =0, i,j=1..n$




    I want to do this in the least amount of steps.. All I can think about is that $(a+b)bmod m=(abmod m+bbmod m)bmod m$










    share|cite|improve this question



























      0












      0








      0








      Let $n, minmathbb{N}, nneq0$. Find the number of all pairs $(i,j)$ such that $(i^2+j^2) bmod m =0, i,j=1..n$




      I want to do this in the least amount of steps.. All I can think about is that $(a+b)bmod m=(abmod m+bbmod m)bmod m$










      share|cite|improve this question
















      Let $n, minmathbb{N}, nneq0$. Find the number of all pairs $(i,j)$ such that $(i^2+j^2) bmod m =0, i,j=1..n$




      I want to do this in the least amount of steps.. All I can think about is that $(a+b)bmod m=(abmod m+bbmod m)bmod m$







      modular-arithmetic modules






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      share|cite|improve this question













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      share|cite|improve this question








      edited Nov 25 '18 at 18:17

























      asked Nov 25 '18 at 17:21









      C. Cristi

      1,476218




      1,476218



























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