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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)

+ 10! - 11 and 10! + 11 are two consecutive primes. [Firoozbakht]

+ 11 = pi(11) + pi(pi(11)) + .... It is the largest such number. [Firoozbakht]

+ The only known multidigit prime of the form prime(n)^n + n. The next such prime if it exists has more than 30000 digits. [Firoozbakht]

+ The first 1+1 digits of pi(11^11) are 11. [Firoozbakht]

+ 2! + 3! + 5! = 7 (mod 11). There exists only one other known prime with this property. [Firoozbakht]

+ 2*3*5*...*prime(11) = 11 (mod 11+1). It is the only known prime with this property. [Firoozbakht]

+ pi(pi(1) + pi(2) + ... + pi(11)) = 11. It is the only number with this property. [Firoozbakht]




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