Eric
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 Jan31 comment If $a^2 + p^2 = b^2$ then $2(a+p+1)$ is a perfect square How does $b-a=1$ follow from everything that precedes it? Oct6 awarded Student Oct6 comment Modular Arithmetic order of operations "... many abuses of the mod notation." That is absolutely the truth. If everyone would just use the notation correctly... Oct6 awarded Scholar Oct6 awarded Supporter Oct6 comment Modular Arithmetic order of operations That iff statement is helpful, but you didn't quite get my question. Thanks for the answer anyway, though! Oct6 accepted Modular Arithmetic order of operations Oct6 comment Modular Arithmetic order of operations Interesting, my LaTeX-obsessed teacher used $=$, not $\equiv$, and there is not a big space before the $($. I transposed it exactly as she posted it. This is helpful, though, thanks! Oct6 comment Modular Arithmetic order of operations Well, in the event of $M = 27$ and $K = 26$, they could both produce a different result; the first would be $(27 + 26) (mod\ 26) = 53\ mod\ 26 = 1$, the second would be $27 + (26 (mod\ 26)) = 27\ mod\ 26 = 27$. So to me, both do kinda make sense, which is why I ask... if you are certain, you can post that as an answer. Oct6 asked Modular Arithmetic order of operations Oct6 awarded Autobiographer