523

This number is a prime.

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The long-abiding abstruseness behind Ramanujan's mysterious partition congruences such as p(5n + 4) = 0 (mod 5), i.e., that 5 (= 2 + 3) divides p(n) for any n ending in prime square digits 22 and 32, got cracked down finally thanks to a 2011 major breakthrough by Ken Ono's team revealing the underlying fractal nature of p(n). [Beedassy]

Submitted: 2014-12-21 13:26:39;   Last Modified: 2020-07-11 17:15:04.
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