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(just those submitted by Firoozbakht)
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GIMPS has discovered a new largest known prime number: 282589933-1 (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 = pi(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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