523

This number is a prime.

Just showing those entries submitted by 'Beedassy': (Click here to show all)

+ The largest prime with a prime number of distinct prime digits. Note that the remaining prime digit 7 when prefixed (7523) or appended (5237) to it forms two other primes, the reversal of whose product is also a prime (15979393) with all of the odd digits. [Beedassy]

+ 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]

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