The book is now available! 647
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The smallest prime that may be written as 2a2 - 1, and also as 3b3 - 1. [Hartley]

+ A man described as looking like a plump Moses asked the following questions during a 1987 joint American Mathematical Society/Mathematical Association of America conference in San Antonio, Texas: "What about 647? Is it prime?" (from The Man Who Loved Only Numbers by Paul Hoffman)

+ 647 equals the sum of all two-digit even semiprimes plus one. [Silva]

+ The largest prime whose digits form an acute-angle scalene triangle with prime perimeter. [Loungrides]

+ The largest 3-digit number n such that 3^n-2^n is prime, 3^647-2^647. [Loungrides]

+ The only prime of form p^(p+1)+q^(q+1)-1, where p, q are consecutive primes, i.e., 2^3*3^4-1. [Loungrides]

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