Answer by SomeCallMeTim for Relate, a perfect square $m^2$ with the $n-th$...
For your first question, $(1)$, the idea is he is counting the amount of non-square numbers below $m^2$, and gets that there are $(m-1)m$ such numbers. Since $N_n$ is greater than $m^2$, we see that...
View ArticleRelate, a perfect square $m^2$ with the $n-th$ non-square positive integer.
For any real number $x$, let $[x]$ denote the largest integer which is less than or equal to $x$. Let $N_1=2$, $N_2=3$, $N_3=5$, and so on be the sequence of non-square positive integers. If the $n$th...
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