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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 'Firoozbakht': (Click here to show all) 101^101100^100+99^9998^98+...2^2+1^1 is prime. Note that 101 is the only known odd prime p, such that p^p(p1)^(p1)+...2^2+1^1 is prime. [Firoozbakht]The only known prime p such that sigma(p1) = sigma(p+1) + 1. [Firoozbakht]
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