TH>Just curious... What makes a number, 'perfect?'
PL>A positive integer X is called "perfect" when it equals the sum of
PL>its divisors bar itself (obviously).
PL>Examples:
PL>6 = 1 + 2 + 3
PL>28 = 1 + 2 + 4 + 7 + 14
PL>496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248
PL>8128 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 127 + 254 + 508 + 1016 + 2032 +
PL>4064
PL>The last time I looked at these numbers is a looong time ago, but
PL>at least then the following questions were unsolved:
PL>- given X, is there a quick way to determine its perfectness ?
I guess that depends on how quick the computer is... [grin]
Anyway, these would be good comp sci puzzles...
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