The book is now available! 85
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ (8511 - 85)/11 ± 1 are twin primes. [Luhn]

+ Between 641 and 114689 (the second smallest Fermat divisor) there exist 85 prime numbers that could conceivably be Fermat divisors.

+ There are 85 five-digit primes that begin with 85. [Bopardikar]

+ The only composite number resulting from the sum of three double-digit consecutive emirps, 17, 31, 37. Note that the concatenation in order of these emirps, i.e., 173137 is prime. [Loungrides]

+ The only known Smith number n such that the aliquot sum of n = pi(n). [Gupta]

(There is one curio for this number that has not yet been approved by an editor.)

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