The book is now available! 312
(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)

+ 312 is the only number m less than 30000 such that prime(k*m) + k*m is prime for k = 1, 11, 1111, 111111, 11111111, and 111111111. [Firoozbakht]

+ 312 = prime(3*1*2) * phi(3*1*2) * sigma(3*1*2). It is the only known number with this property (up to 10^8). [Firoozbakht]




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