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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits)
Single Curio View: (Seek other curios for this number) 1/zeta(2) where zeta is the Riemann zeta function = 0.6079271018540266286... = the asymptotic density of squarefree numbers (also called quadratfrei), those whose prime decomposition contains no repeated factors. All primes are therefore trivially squarefree. The number 1 is by convention taken to be squarefree. The squarefree numbers are 1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, .... Conversely, the squareful numbers (i.e., those that contain at least one square) are 4, 8, 9, 12, 16, 18, 20, 24, 25, .... [Post]
Submitted: 20050704 18:46:02; Last Modified: 20090301 13:16:55.
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