5/7/05 conspiracy

[eub]

1, 2, 4, 7
14: sum to 28.
a perfect number.

Comments

[ralphmelton.livejournal.com]

Very amusing and apropos.

You might know the answer to this: are there any perfect numbers known that aren't of the form 2^(n-1)*(2^n-1)?

[eub.livejournal.com]

Euler proved that all even perfect numbers are of that form. Whether any odd perfects exist is unknown¹ (possibly the oldest open question in mathematics?).

¹ Despite this stuff, I would say.