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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The smallest prime average of two successive perfect powers.

+ The only known Mersenne prime exponent of the form nextprime(3^n) for some positive integer n (here n = 7), where nextprime(x) is defined as the smallest prime greater than x. [Wang]

+ The sequence of digits '2203' does not appear in 2^2203 - 1. [Harrison]

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