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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) (57) = 2^{4} and 57^{57}  2^{4} is prime. [Noll] 57 * 2^{25}  1 is prime. [Noll] 57 + (100 * 2^{n}) are primes for n = 1, 0, 1, 2, 3, 4, and 5. [Luhn] Every number greater than 57 is (probably) the sum of distinct primes greater than eleven. [Capelle] 57 * 2^{1828} + 1 is a Proth prime as well as a generalized Cullen prime. [Wesolowski] 57 + 5^(5+7) + 7^(5+7) is prime. [Silva] Jokingly known as the "Grothendieck prime." Prime numbers that end with "57" occur more often than any other twodigit ending among the first 1000 primes. [Honaker] The smallest April Fool prime that is the sum of first n April Fool primes, i.e., (9 + 21 + 27), (case n=3). [Loungrides]
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