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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) If a number can be written both as 2a^{2} + 1 and as 3b^{3} + 1, it must be of the form 648k^{6} + 1. The smallest prime of this form is not only 472393, where k = 3, but curiously k = 4 and k = 5 also. [Hartley]
Submitted: 20030219 00:29:16; Last Modified: 20090212 21:04:55.
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