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

+ 162 is the only number with a prime factorization of the form n * (n+1)n^n. [Hunter]

+ 10^(10^100)+10 (googolplex plus ten) has 162 prime factors less than 2^32 (or 4294967296). [Dobb]

+ pi(162) = prime(1*6*2). It is the smallest number with this property. [Gupta]

(There are 2 curios for this number that have not yet been approved by an editor.)




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