From: Richard L. Peterson on 22 Jan 2010 10:33 I just read this in abook by William Stein. Thanks
From: Andrew Usher on 22 Jan 2010 20:54 On Jan 22, 7:33 pm, "Richard L. Peterson" <rl_p...(a)yahoo.com> wrote: > I just read this in abook by William Stein. If he considers +1 a prime also, then -1 must be. But if he considers only -1 a prime, presumably it's because one can extend a type of unique factorisation to the negative numbers i.e. they equal -1 times the positive number. Andrew Usher
From: Chip Eastham on 22 Jan 2010 21:09 On Jan 22, 8:33 pm, "Richard L. Peterson" <rl_p...(a)yahoo.com> wrote: > I just read this in abook by William Stein. > > Thanks I suspect a misunderstanding has crept into the discussion. -1 is not considered a prime. However in quadratic sieving methods for large factoring problems, it can be advantageous to include -1 as a "small factor" of squares modulo the composite to be factored. regards, chip
From: Henry on 22 Jan 2010 21:11 On 23/01/2010 01:33, Richard L. Peterson wrote: > I just read this in abook by William Stein. > > Thanks No idea, but perhaps its only two divisors are 1 and itself
From: Richard L. Peterson on 22 Jan 2010 11:25
> On Jan 22, 7:33 pm, "Richard L. Peterson" > <rl_p...(a)yahoo.com> wrote: > > I just read this in abook by William Stein. > > If he considers +1 a prime also, then -1 must be. > But if he considers only -1 a prime, presumably it's > because one can > extend a type of unique factorisation to the negative > numbers i.e. > they equal -1 times the positive number. > > Andrew Usher good suggestion, maybe that's it. But maybe not. |