The book is now available! 45
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ Every number greater than 45 is (probably) the sum of distinct primes greater than or equal to eleven. [Gupta]

+ If the first five positive powers of two are each subtracted from 45 all results are prime. [Trotter]

+ The common alphabetical value of the three primes 41, 59 and 61 in Roman numerals-based representation. Note that XLI, LIX and LXI are the only valid permutations of the numerals L, X and I. [Necula]

+ The only known multidigit number n (up to 10^9) such that, n = reversal(sigma(n) - phi(n)) = reversal(sigma(n)) - reversal(phi(n)). [Capelle]

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

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