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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) (85^{11}  85)/11 ± 1 are twin primes. [Luhn] Between 641 and 114689 (the second smallest Fermat divisor) there exist 85 prime numbers that could conceivably be Fermat divisors. There are 85 fivedigit primes that begin with 85. [Bopardikar] The only composite number resulting from the sum of three doubledigit consecutive emirps, 17, 31, 37. Note that the concatenation in order of these emirps, i.e., 173137 is prime. [Loungrides] The only known Smith number n such that the aliquot sum of n = (n). [Gupta]
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