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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The start of the longest known chain of super magic primes, i.e., with each of its subsets having a prime average (209173, 322573, 536773, 1217893, 2484733), although the GreenTao theorem predicts the inexistence of an upper bound to the length of such chains. [Beedassy]
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