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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)

Photo credit: Patrick Kik
+ prime(13) = reversal(sigma(13)). It is the only multidigit number with this property. [Firoozbakht]

+ The floor function of e^e - phi^phi, where phi is Golden Ratio. [Firoozbakht]

+ 5*11 - 2*3*7 = 13 (first six primes). [Firoozbakht]

+ 13^13 - pi(13)^pi(13) is prime. It is the largest known prime with this property. The next prime of this form (if it exists) will have more than 50000 digits. [Firoozbakht]

+ pi(pi(1) + pi(2) + ... + pi(13)) = sigma(13). It is the only number with this property. [Firoozbakht]

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