523
This number is a prime.
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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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