The book is now available! 54
(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 non-prime divisors of 54 is a Mersenne prime exponent. [Noll]

+ The 54th prime is the smallest number that is the sum of three cubes in two ways. [Noll]

+ The sum of denoninators of the Bernoulli numbers less than or equal to 54 is prime. [Noll]

+ 1354 + 54 is prime. [Noll]

+ (54!/45!)-1 is prime. [Patterson]

+ 7^54+54^7 is the only non-titanic prime of form 7^n+n^7. [Loungrides]

(There are 5 curios for this number that have not yet been approved by an editor.)

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