On: 8192+ bit RSA keys in OS X

[wellboy]

Doesn´t it take 10^100 universes to crack 8192 bit RSA?

[lutusp → wellboy]

> Doesn´t it take 10^100 universes to crack 8192 bit RSA?

That's easy to test:

a = 2^8192 ≅ 1.09 * 10^2466 (http://www.wolframalpha.com/input/?i=2%5E8192)

b = 10^100 universes

If we assume one universe can only crack one value, then we need many more than 10^100 universes. But it's reasonable to assume that one universe can crack more than one encrypted value. Let's say that each universe can crack a million values. Then 10^100 universes is too many.