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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The smallest number whose sum of digits exceeds that of its cube: 587^{3} = 202262003 and 5 + 8 + 7 = 20, while 2 + 0 + 2 + 2 + 6 + 2 + 0 + 0 + 3 = 17. [Beedassy] Nickel Plate No. 587 (at the Indiana Transportation Museum) is perhaps the best remaining example of a United States Railroad Administration light Mikado steam locomotive. The number of 10smooth numbers up to 10^{5}. An integer is ysmooth if all its prime factors is less than or equal to y. [Greene] Charleston endured 587 days of constant shelling by Federal forces, both on land to the south and at sea near the mouth of the harbor during the U.S. Civil War. [Cambell] Add 587 zeros between the 9 and the 7 in the prime number 97 to obtain a 589digit prime. Let a(1) = 7 and a(n) = a(n1) + gcd(n, a(n1)), for n>1. Here "gcd" means the greatest common divisor. Recently, Rutgers graduate student Eric Rowland proved that a(n)  a(n1) is either 1 or a prime! The differences begin 1, 1, 1, 5, 3, 1, 1, 1, 1, 11, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 23, .... It is not known if all odd primes occur in this list. Jonathan Sondow found that 587 is the smallest odd prime that does not appear in the first 10000 prime terms. Computer port 587 is the main alternative port for email. [McCranie] The number of pages in "The Encyclopedia of Integer Sequences" (revised edition) by N. J. A. Sloane and S. Plouffe. [Beedassy] 587 is the smallest integer for which the first ten digits of its natural logarithm is pandigital (6.375024819). [Gaydos]
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