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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Conjectured to be the smallest positive integer k such that (k*3^n+1)/gcd(k+1,31) is composite for all integers n>=1. [Luen] By the 1338th prime number (11047) there are 669 primes with distinct digits and 669 primes with at least two of the same digit. This is the first and probably only case in which the two counts are equal. [Gaydos]
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