20041210, 07:11  #34  
"William"
May 2003
New Haven
2·3^{2}·131 Posts 
Quote:
2. Is M3321931993 still running? 3. I confirm every reported factor by using the Zmath Excel addin, and confirming that zpowmod(2, exponent, prime) is 1. Zmath is free and handles numbers up to 256 digits. 4. I don't think Luigi has discussed the full details of how the program works. We know that every divisor of 2^{p}1 is of the form 2kp+1, so Luigi starts with a large list of k values (probably as a bit map rather than a real list). Then he knows that every 3rd number is divisible by 3 and every 5th one is divisible by 5, etc, so he knocks out all the k's for which 2kp+1 is divisible by some small prime. I don't know how high he goes. I don't know if it is then quicker to do a PRP test on the remaining 2kp+1 values or just do the trial division. William 

20041211, 01:20  #35 
Sep 2004
1025_{8} Posts 
1. I continued through 2^70. (70.023 actually) 69.87 was that factors bit depth. The last factor I found (the one before this) I think I might have stopped as soon as I saw it and not let it continue. Not sure. Should I let it finish that bit depth next time, or no?
2. M3321931993 no factor from 2^62 to 2^64. (sorry) 3. Aren't these billion digit numbers? ie greater than 256 ;) i suppose the factors have to be shorter than 256 digits is all it means. 4. As long as using more memory or hard drive space wouldn't speed it up its fine with me. :) I've taken 3321931831 to 67 (67.781) no factors found. It appears that Carlo and I are working on the same number. Don't know what to do, but i am continuing for now. M3321931099 no factor under 2^72. Continiuing to 73. M3321931289 no factor under 2^70. Continiuing to 73. Last fiddled with by Joshua2 on 20041211 at 01:23 
20041211, 05:32  #36  
"William"
May 2003
New Haven
2358_{10} Posts 
Quote:


20041211, 16:29  #37  
Banned
"Luigi"
Aug 2002
Team Italia
128F_{16} Posts 
Quote:
Carlo si doing 3321931363 not 3321931381, so 3321931381 would be free. According to http://www.mersenneforum.org/showpos...1&postcount=28 Thomasn is doing 3321931919 to 70 bits. Luigi Last fiddled with by ET_ on 20041211 at 16:34 

20041211, 16:52  #38 
Sep 2004
1000010101_{2} Posts 
I'm sorry I had a typo. I did mean ...1381. So I have taken that to 68 now. no factors yet. ...1831 is still at 64. Sorry guys.
Do you think that doing multiple numbers at once like newpgen would speed things up? 
20041218, 17:06  #39 
Jun 2003
2×59 Posts 
M3321931919 no factor from 2^60 to 2^70.
Thomasn 
20041220, 17:19  #40 
Apr 2004
PDX
22_{8} Posts 
3321928601 no factor 2^73
Make that 4@ 2^73 no factor What next.... Mark 
20041221, 03:49  #41 
Aug 2004
2^{2}·3 Posts 
M3321930323 no factor to 2^72, taking it to 73.

20041227, 21:39  #42 
Banned
"Luigi"
Aug 2002
Team Italia
128F_{16} Posts 
Matteo Monti wrote:
"M3321931993 no factor from 2^64 to 2^66." He will take the search to 2^68 Luigi 
20050112, 12:31  #43 
Banned
"Luigi"
Aug 2002
Team Italia
11217_{8} Posts 
M3321931363 no factor from 2^60 to 2^72.
Luigi & Carlo 
20050113, 18:02  #44 
Sep 2004
533_{10} Posts 
No factors in M3321931099 to 73.

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