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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 656601 is the smallest Smith number which is also a Carmichael number. [Gupta] 656601 is the smallest Carmichael number n surrounded by a prime triplet (n4, n2, n+2 are all primes). [Yosei] The smallest integer pseudoprime to base5 that is the midpoint of a cousin prime pair {656599, 656603}. [Bajpai]
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