825353008489

This number is a prime.

                                                               82 5353008489

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The start of an extraordinarily large gap between primes in an arithmetic progression p+q*k, with q=152, where every positive integer k<357 yields composites. It's the first and yet only known gap that is both larger than q² and larger than phi(q)*(log (p+q*k))². [Raab]