Dear Spike,
In keeping with the Three bears, the perfect numbers would be "just
right." The proper terminology to apply to these numbers are abundant (M4825,
A5010) and deficient (M0514, A5100) numbers. Odd primitive abundant numbers
(M5486, A6038) are:
945, 1575, 2205, 3465, 4095, 5355
On Wed, 1 Sep 1999, Spike Jones wrote:
> With every Mersenne number there is an associated perfect
> number, the sum of whose factors exactly equal the number.
A number is perfect iff the sum of the positive divisors, including
one and excluding the number itself, is equal to the number.
>
The program is OK, I just overlooked the fact that there are in fact
odd abundant numbers. doh! spike
_
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With every Mersenne number there is an associated perfect
number, the sum of whose factors exactly equal the number.
I discovered a fascinating thing today, for which I must introduce
some new terminology.
If a number is greater than the sum of its factors, let it be a cold number.
If a number is