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Are there infinitely many primes $p$, such that,

$p-1=n^2$ where $n\in \mathbb{N}$.

As $p$ must be $odd$, we can say that $p$ must be of the form $4k+1$. But I do not know how to proceed.

Coherent Sheaf
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    you may see this: http://math.stackexchange.com/questions/44126/primes-of-the-form-n21-hard – Port Apr 30 '16 at 09:57

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