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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The smallest number q such that each member of the set {q3, q, q+3} is a probable prime to base 3. It is an even pseudoprime to base 3, located at the midpoint of a sexy prime pair {q3, q+3}. There are only 3 such numbers < 10^10: q1 = 24046, q2 = 10123366, q3 = 12304774; q1 divides q2. [Yosei]
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