Mersenne: ECM Factoring
Hi, I need some help. I would like to look for a factor of a mersenne prime in a specific area. For example, for a mersenne exponent of say 40,000,000. I want to use the Prime95b program, (v19 I guess), to search for a factor in a specific range from, say, 2^40 to 2^50. I do not understand the ECM factoring instuctions included with Prime95. You can also edit the worktodo.ini file directly. For example: ECM=751,300,0,100,0,0,0,24 The first value is the exponent. The second value is bound #1. The third value is bound #2 - leave it as zero. The fourth value is the number of curves to test. The fifth value is the number of curves completed. The sixth value is the specific curve to test - it is only used in debugging. The seventh value is 0 for 2^N-1 factoring, 1 for 2^N+1 factoring. The eighth value is the MB of memory the program should use. I don't understand how to set the ECM= paramaters to accomplish my goal. It is my understanding that one can use ECM or 2^p-1 factoring with V19. Any help would be appreciated. Thanks Dan _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
Mersenne: Factoring data
Hi all, At several users request I've uploaded factoring data for all exponents below 79,300,000. You'll need a special decompression program I wrote. See http://www.mersenne.org/status.htm for details. Regards, George _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
Re: Mersenne: ECM Factoring
I would like to look for a factor of a mersenne prime in a specific area. For example, for a mersenne exponent of say 40,000,000. I want to use the Prime95b program, (v19 I guess), to search for a factor in a specific range from, say, 2^40 to 2^50. I do not understand the ECM factoring instuctions included with Prime95. For this targeted a test, you might want to use trial factoring simply edit to worktodo.ini file adding the following line Factor=a,b Where a is the mersenne exponent, and 2^b is the limit trial factored to. you can override the default trial factoring depth with the line FactorOveride=n where n is the power of 2 that you want it to stop at. (I think that is how it is spelled, see undoc.txt) (a rather ironic title in my opinion) I don't understand how to set the ECM= paramaters to accomplish my goal. It is my understanding that one can use ECM or 2^p-1 factoring with V19. (I think you mean P-1 factoring). Yes, but ECM wouldn't be best for such a targeted search (as I understand it). -Lucas _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
Mersenne: Re: Re: Purpose...
On Fri, Oct 01, 1999 at 04:15:27PM -0600, Aaron Blosser wrote: Hmm...no kidding. Now, correct me if I'm wrong (I probably am) but aren't those types of encryption schemes based on multiplying large primes together to generate the "key", and the fact that it would take a VERY long time to factor the product means it's relatively secure? That is only RSA, as far as I remember. Other, such as Diffie-Hellman (ElGamal) uses a prime modulo, for instance. /* Steinar */ -- Homepage: http://members.xoom.com/sneeze/ _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
Re: Mersenne: ECM Factoring
When this is cleared up, it will make a good FAQ. Who maintains the FAQ list? Do you agree the answer here is a good FAQ? At 01:10 PM 10/2/99 -0700, you wrote: Hi, I need some help. I would like to look for a factor of a mersenne prime in a specific area. For example, for a mersenne exponent of say 40,000,000. I want to use the Prime95b program, (v19 I guess), to search for a factor in a specific range from, say, 2^40 to 2^50. I do not understand the ECM factoring instuctions included with Prime95. You can also edit the worktodo.ini file directly. For example: ECM=751,300,0,100,0,0,0,24 The first value is the exponent. The second value is bound #1. The third value is bound #2 - leave it as zero. The fourth value is the number of curves to test. The fifth value is the number of curves completed. The sixth value is the specific curve to test - it is only used in debugging. The seventh value is 0 for 2^N-1 factoring, 1 for 2^N+1 factoring. The eighth value is the MB of memory the program should use. I don't understand how to set the ECM= paramaters to accomplish my goal. It is my understanding that one can use ECM or 2^p-1 factoring with V19. Any help would be appreciated. Thanks Dan _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
Mersenne: Why test to (completion?)
Sorry But. Why do primality tests run to the full value of the integerFor any iteration surely if an exponent is found within the test it should be reported and the program aborted?.Not being a maths buff... Perhaps I should not be on this list... p.s. The Proth prime site was even more confusing, did not tell me what a Proth prime is, but totally confused me with Cunninghams, Sophie Primes et al...( I have heard of her, though 18/19th Century geezer...Not in the same league as Galois though I am beginning to think that maths people talk to deep or...to simply, where is the middle ? Sorry! Keep it simple stupid for us mere mortals! Ian McLoughlin, Chematek U.K. Tel/Fax : +44(0)1904 679906 Mobile : +44(0)7801 823421 Website: www.chematekuk.co.uk _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
Re: Mersenne: ECM Factoring
When this is cleared up, it will make a good FAQ. Who maintains the FAQ list? Do you agree the answer here is a good FAQ? I would like to look for a factor of a mersenne prime in a specific area. For example, for a mersenne exponent of say 40,000,000. I want to use the Prime95b program, (v19 I guess), to search for a factor in a specific range from, say, 2^40 to 2^50. I do not understand the ECM factoring instuctions included with Prime95. I maintain the FAQ (well, one of three anyway). There is my FAQ which deals mostly with the math involved with Mersenne numbers. There is Scott's FAQ which deals with primenet, and there is George's FAQ which deals with Prime95. I have gotten questions involving all three (and at least 2 letters which assert mine as the "best"). I like the current separation for a number of reasons: (1) It makes sense (2) I know next to nothing about Prime95, and even less about primenet (3) I don't really care enough about the other two to put forth much effort. (Note that I *do* apreciate Prime95 and primenet, I just don't care much about specific issues with them). Now the last one might sound bad, but with school, I hardly have time to add anything I care about to the FAQ (there is a section on P-1 factoring, Q3.10 BTW). Hopefully this should explain things a bit. I will (eventually, once I read more on it) add a section to the FAQ about ECM, but Prime95 specific issues I know little about, and George would be much better suited to writing about this. Sorry if my rambling makes no sense... Lucas _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
