mersenneforum.org Special project #1 - Driver escape attempt 2^4*31
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 2010-12-10, 06:38 #1 schickel     "Frank <^>" Dec 2004 CDP Janesville 2·1,061 Posts Special project #1 - Driver escape attempt 2^4*31 OK, here's a twist.....these sequences are at a point where they might escape from $2^4 \cdot 31$ on the next line, depending on what form the final factors take: Code: None left, try the others.... And these definitely will not escape on the next line, but if they keep $31^n$ {n > 0, n even}, then they have a chance of escape on the line after or any subsequent line where n stays even, also depending on the form of the other factors: Code: 632898 2220. sz 111 2^4 * 3^2 * 31^2 * 59 * 307 Last fiddled with by schickel on 2010-12-23 at 09:25 Reason: Subtract another one...and another one
 2010-12-10, 16:03 #2 fivemack (loop (#_fork))     Feb 2006 Cambridge, England 645310 Posts 470466 loses the 31^2 next line. poking 700700 Last fiddled with by fivemack on 2010-12-10 at 16:07
 2010-12-10, 16:27 #3 Andi47     Oct 2004 Austria 2·17·73 Posts the DB has 576648 at i=722 with 2^4*3*31. taking 948780
 2010-12-10, 19:02 #4 fivemack (loop (#_fork))     Feb 2006 Cambridge, England 33·239 Posts 700700 now 2^4*5^2*7*31; running it a bit further. Taking 122556. Last fiddled with by fivemack on 2010-12-10 at 19:02
 2010-12-10, 22:46 #5 schickel     "Frank <^>" Dec 2004 CDP Janesville 2·1,061 Posts Well, I was getting ready to post another special project, and I thought I'd let everyone see what we're looking for. I was looking at 2^3 * 3 next, and got this on one sequence: Code: 686922 693. sz 103 2^3 * 3^2 * 13^2 * 557 Code: 686922 694. sz 103 2^5 * 3^2 * 13 Better, except that 2^5 * 3 is still a persistent guide.....although since it's still 3^2, I'm factoring the c84 just in case. Then we get Code: 686922 695. sz 103 2^4 * 3^2 * 13 * 66763 * 224423 * 2147273 * 3437717 Last fiddled with by schickel on 2010-12-10 at 23:18 Reason: Add result for curious...
2010-12-11, 06:17   #6
schickel

"Frank <^>"
Dec 2004
CDP Janesville

41128 Posts

Quote:
 Originally Posted by schickel 240096 671. sz 114 2^4 * 3^2 * 31^2
The c109 on this has had 100 curves @ 43M. I'm going to let run it at least overnight, but, as I have too much on my plate right now, I won't be able to do a GNFS job on it for a couple of days....

 2010-12-11, 08:13 #7 fivemack (loop (#_fork))     Feb 2006 Cambridge, England 33×239 Posts 122556 at 2^4*5*29*31, abandoning 700700 at 2^4*31, abandoning
 2010-12-11, 09:25 #8 Andi47     Oct 2004 Austria 2×17×73 Posts 948780 is now at i=1536, 24*31. unreserving it
 2010-12-15, 05:17 #9 gd_barnes     May 2007 Kansas; USA 27·5·17 Posts I knocked this one out: 263862 1397. sz 103 2^4 * 3 * 31 * 59
 2010-12-18, 08:04 #10 schickel     "Frank <^>" Dec 2004 CDP Janesville 2×1,061 Posts I guess I'll take the last of the first batch: 240096.
2010-12-19, 07:20   #11
schickel

"Frank <^>"
Dec 2004
CDP Janesville

2×1,061 Posts

Quote:
 Originally Posted by schickel I guess I'll take the last of the first batch: 240096.
240096 671. sz 114 2^4 * 3^2 * 31^2 * c109 = p42 * p68

to

240096 672. sz 114 2^4 * 3^2 * 5 * 31

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