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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Just showing those entries submitted by 'Keith': (Click here to show all) (n) is defined as the number of primes less than or equal to n. The prime number theorem states that (n)*ln(n)/n approaches 1 as n tends to infinity. The maximum value of this expression, 1.2550587..., occurs at n = 113. [Keith]
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