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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) This is the smallest Carmichael number of the form (k+1)(2k+1)(4k+1)(8k+1)(16k+1)(31k+1)(62k+1)(124k+1)(248k+1) where k=496m. Here m=13494274080. Note that 1, 2, 4, 8, 16, 31, 62, 124 and 248 are the proper divisors of the perfect number 496=16 x 31. The next perfect number is 64 x 127. Note that the Carmichael number here has 127 digits. [Hartley]
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