The PRP test has the same computational cost as an LL test. The reason why GIMPS now prefers to do PRP tests instead of LL tests is because an efficiently verifiable proof-of-work certificate was developed for PRP tests…
2^80 is about 10^24, which is a trillion trillion, not a billion trillion. So their estimate of a chance of a collision is off by a factor of 1000.
> But I don't know if it can be proven there do not exist non-prime P/Q values which produce an RSA keypair which can successfully encrypt/decrypt messages. I'm sure this isn't kosher for a real implementation, but I've…
> this post refers to it as reference 2. That algorithm runs in constant time, which is a pretty big deal. Not constant time; the analysis in the paper shows that the nth digit can be computed in O(n log n M(log n)) bit…
Yes, the volume of the unit cube is 1 in any dimension, but the volume of the unit sphere goes to 0 as the dimension increases.
"Any time a company gets acquired, there are always concerns about what it means for the company and product. Here are some things to know: 1. Hipmunk isn’t going anywhere" -Adam Goldstein, October 3, 2016
It's cool seeing this posted here, I authored this paper. The inspirational quote at the beginning was actually from a comment on a HN post a month ago: https://news.ycombinator.com/item?id=19953213
It's interesting to follow some of abrianb's comments by date: "When I click print I get nothing." -Tuesday, August 5, 2008 "I downloaded those updates and Open Office Still prints." -Friday, August 8, 2008 "Open Office…
That's just a remake of the classic Mario Bros.; there's no punch ball in SMB3.
> Who knows what bugs wait lurking in there; who knows which particular combinations of which libraries are a security-bug timebomb. [...] The GTK and GNOME libraries have never been security-audited to the extent that…
Correction: x^y is defined for all pairs of real numbers with x!=0. 0^x is not defined for negative x.
"Whenever you're told that some existing statistical trend will continue, but you aren't given a hard-to-vary account of what causes that trend, you're being told a wizard did it." -David Deutsch
The PRP test has the same computational cost as an LL test. The reason why GIMPS now prefers to do PRP tests instead of LL tests is because an efficiently verifiable proof-of-work certificate was developed for PRP tests…
2^80 is about 10^24, which is a trillion trillion, not a billion trillion. So their estimate of a chance of a collision is off by a factor of 1000.
> But I don't know if it can be proven there do not exist non-prime P/Q values which produce an RSA keypair which can successfully encrypt/decrypt messages. I'm sure this isn't kosher for a real implementation, but I've…
> this post refers to it as reference 2. That algorithm runs in constant time, which is a pretty big deal. Not constant time; the analysis in the paper shows that the nth digit can be computed in O(n log n M(log n)) bit…
Yes, the volume of the unit cube is 1 in any dimension, but the volume of the unit sphere goes to 0 as the dimension increases.
"Any time a company gets acquired, there are always concerns about what it means for the company and product. Here are some things to know: 1. Hipmunk isn’t going anywhere" -Adam Goldstein, October 3, 2016
It's cool seeing this posted here, I authored this paper. The inspirational quote at the beginning was actually from a comment on a HN post a month ago: https://news.ycombinator.com/item?id=19953213
It's interesting to follow some of abrianb's comments by date: "When I click print I get nothing." -Tuesday, August 5, 2008 "I downloaded those updates and Open Office Still prints." -Friday, August 8, 2008 "Open Office…
That's just a remake of the classic Mario Bros.; there's no punch ball in SMB3.
> Who knows what bugs wait lurking in there; who knows which particular combinations of which libraries are a security-bug timebomb. [...] The GTK and GNOME libraries have never been security-audited to the extent that…
Correction: x^y is defined for all pairs of real numbers with x!=0. 0^x is not defined for negative x.
"Whenever you're told that some existing statistical trend will continue, but you aren't given a hard-to-vary account of what causes that trend, you're being told a wizard did it." -David Deutsch