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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Just showing those entries submitted by 'Hartley': (Click here to show all) The concatenation of n!, (n1)!, ..., 2!, 1! and 0! is prime for n=12, 6, 4, 3 and 2, but not for n=11, 10, 9, 8, 7, or 5 (nor for 13, 14, 15, ... up to at least 61). Note that 2, 3, 4, 6 and 12 are exactly the nonunit divisors of 12. [Hartley]
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