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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Proving the Riemann Hypothesis is equivalent to showing floor(H(n)+e^{H(n))*log(H(n)}) > σ(n),where H(n) = 1 + 1/2 + 1/3 + ... + 1/n, and σ(n) is the sum of the divisors of n. For example, when n = 17, the two sides differ by 23. [Caldwell] The prime that splits into the two primes, 17 and 23, which are the extremal constants of the magic triangle of Yates using digits 1 through 9: 1 7 9 6 3 6 5 7 5 1 2 8 4 3 8 2 4 9[Beedassy] The smallest distinctdigit emirp concatenated from two doubledigit primes. [Loungrides]
(There are 2 curios for this number that have not yet been approved by an editor.)
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