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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The smallest irregular prime having an irregularity index of 3. [Noe] 491 is a Sophie Germain prime. 491 is also a divisor of a Generalized Fermat Number, as 491 * (2^123281+1) divides GF(123280,10) = 10^(2^123280) + 1. [Carmichael] 10000^491491 is the smallest titanic prime of form 10000^nn, where n is prime. [Loungrides] The sum of first two Lychrel numbers is prime, i.e., 196+295. [Loungrides] It is conjectured that 491 is the smallest prime not of the form x^{3} + y^{3} + 2z^{3}. [Wesolowski]
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