Is there any progress in proving the infinitude of prime numbers of the form $n^2+1$ ?
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This is not the right place for this question...I suppose.... – Soham Jan 26 '16 at 15:12
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1If it was, it would need to be narrowed down: Any progress since when, for example? What do you define as progress? Otherwise, it is a fairly wide-open question. – Thomas Andrews Jan 26 '16 at 15:13
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See http://mathoverflow.net/questions/14690/primes-of-the-form-a21 – lab bhattacharjee Jan 26 '16 at 15:13
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@vrugtehagel i get that $p=n^2+1$$\Rightarrow2\sum_{i=0}^{i=n-1}i^3\equiv n\pmod p$ but it doesn't help me with anything. :D – Matsukazi Issy Jan 26 '16 at 15:35
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The problem is very hard (see here), and there were no new headlines, I think. – Dietrich Burde Jan 26 '16 at 16:16