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Odd perfect numbers

While I'm trying not to be too offended that CNN never wrote me back, I'll get over it with a little reading. One of my favorite books to flip through when I only have a few minutes and I want a fast brain-candy fix is Pappas' Joy of Mathematics and the equally good sequel. The page on perfect numbers (from the second book) explains that a perfect number is equal to the sum of all of its divisors. The first three perfect numbers are 6, 28 and 496. Pappas notes at that time that no odd perfect numbers had been identified, and that the question of their existence was a prominent unsolved problem.

That was fifteen years ago and I immediately jumped online to see what the current status is. A great authoritative source for math on the web is Eric Weissteins MathWorld and here's their page on perfect numbers. But in true form, he also has a page on the odd perfect number quest which is a really great page, and clearly this problem is still unsolved although mathematicians are chipping away at it from many angles. It has even inspired one person to try to organize an online site for it www.oddperfect.org. Would be fun to see somebody crack this one in either direction.

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Comments

I know exactly where in our house those two books are. Should I share with the world the place where you regularly happen to find yourself with a few minutes to spare? Or maybe I already did...

Share a few more of the bookshelves and that might change...

Somehow, I don't think lack of shelf space in your office is the reason for their current location.

http://www.mersenne.org/prime.htm

Our computers can join GIMP --- Great Internet Mersenne Prime Search. Not quite a perfect number search but related.

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