The book is now available! 807
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ 807!/708! - 1 is prime. [Firoozbakht]

+ 807 is the smallest proven coefficient k such that a) k*2^n+1 & k*2^n-1 are never twin primes; b) k*2^n-1 & k*2^(n+1)-1 are never Sophie Germain primes (personal communication from Wilfrid Keller, 20 April 2004). [Rivera]




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