The book is now available! 16315...93281 (127-digits)
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              1631576 8534164504 5037688998 8725553548 1340474863 2958534984
3022397649 8641361561 6297903643 9091121153 2326068909 2533673010 6285793281
+ 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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