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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) The smallest prime p such that all five numbers p*10^k+1, k < 6 are primes. [Firoozbakht]7 is the only number n such that n = (n)!  prime(n). [Firoozbakht] All 7 numbers n! + nextprime(n), n < = 7 are primes. [Firoozbakht] 1! + 2! + 3! + 4! + 5! = 6 (mod 7). It is the largest known prime (up to 10^5) with this property. [Firoozbakht]
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