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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The only emirp formed by concatenating in descending order two consecutive doubledigit numbers. [Loungrides] The smallest emirp formed from the concatenation of two consecutive numbers m, n such that the concatenation of their squares is prime, i.e., 34^2=1156, 33^2=1089 and 11561089 is prime. [Loungrides] The smallest prime (emirp) that begins the sequence of primes differing by 16, 8, 4, 2, (2^4, 2^3, 2^2, 2^1), i.e., 3433, 3449, 3457, 3461, 3463. [Loungrides]
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