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(another Prime Pages' Curiosity)
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+ pi(57) = 24 and 5757 - 24 is prime. [Noll]

+ 57 x 225 - 1 is prime. [Noll]

+ 57 + (100 * 2n) are primes for n = -1, 0, 1, 2, 3, 4, and 5. [Luhn]

+ Every number greater than 57 is (probably) the sum of distinct primes greater than eleven. [Capelle]

+ 57*21828 + 1 is a Proth prime as well as a generalized Cullen prime. [Wesolowski]

+ Jokingly known as the "Grothendieck prime."

+ Prime numbers that end with "57" occur more often than any other 2-digit ending among the first one thousand primes. [Honaker]

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




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