>I once had a great idea: I would express the Great Number in hex!
>Then I realized that I would get with 4 pages of tiny Fs. {8-[
>Not so interesting. But if some clever GIMPSer were to generate the
>perfect number that is (M37*(M37+1))/2 then express *that* number
>in hex, I would clear off a space on my office wall for it. {8-] Anyone
>accept the challenge?
I'm afraid the perfect number in hex would be equally boring... Let P =
2^p - 1, a Mersenne prime. The associated perfect number is:
P(P+1)/2 = (2^p - 1)(2^p)/2 = (2^p - 1)(2^(p-1))
The binary expansion of this number will of course be p 1's followed by p-1
0's. In hex it would be equally boring.
- Clayton
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