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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The smallest prime partial sum of number of collections containing two or more nonempty subsets of {1,2,...n} that are pairwise disjoint: 1 + 7 + 36 + 171 + 813 + 4012 + 20891 + 115463 + 677546 + 4211549 = 5030489 is prime. [Post]




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