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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 5040 is an antiprime number. Conjectured largest number n such that sigma(n) >= exp(gamma) * n * log(log(n)), where gamma = EulerMascheroni constant and sigma(n) = sum of divisors of n. [Luen]
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