The book is now available! 7699
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The sum of the first 7*6+9+9 primes. [Nilsson]

+ The prime number formed from the first four nonzero digits of the sum of the series (1/16 + 1/81 + 1/625 + 1/2401), i.e., the sum of the reciprocals of the fourth powers of the primes.

+ The smallest number that can be expressed as the sum of the k first primes for some k, congruent with 3 modulus 4, and prime. [Rodrigo]

+ The next prime year that is a sum of the first primes: 2 + 3 + 5 + 7 + 11 + ... + 277 + 281 = AD 7699. [Cross]




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