 58 (another Prime Pages' Curiosity) Curios: Curios Search:   Participate:  GIMPS has discovered a new largest known prime number: 282589933-1 (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 2n + 1 gave as much trouble and labor as that of 258 + 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 5858 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 double-digit 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] (There are 4 curios for this number that have not yet been approved by an editor.) Prime Curios! © 2000-2020 (all rights reserved)  privacy statement