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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 58 is the sum of the first seven prime numbers. In 1869, Landry wrote that no one of the numerous factorizations of the numbers 2^{n} + 1 gave as much trouble and labor as that of 2^{58} + 1. The smallest Smith number with a prime sum of digits. Note also that its digits and their sum are a sequence of Fibonacci numbers. [Necula] The 58th Lucas number plus 58^{58} is prime. This is the largest such number less than a thousand. [Opao] 58 is a Hoax Number. 58 reversed (85) is a Hoax Number and 85 = 5 x 17. Note that 5 x 71 = 355 is also a Hoax Number. [Andrew] The only doubledigit number such that 58^n+85^n is prime for n=2, 4, 16, i.e., for three powers of 2. [Loungrides] Exactly half of the first 58 "Lunatic numbers" are prime in the traditional sense. [Gaydos]
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