Special project #1 - Driver escape attempt 2^4*31

schickel · 2010-12-10, 06:38

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

fivemack · 2010-12-10, 16:03

470466 loses the 31^2 next line. poking 700700

Andi47 · 2010-12-10, 16:27

the DB has 576648 at i=722 with 2^4*3*31.

taking 948780

fivemack · 2010-12-10, 19:02

700700 now 2^4*5^2*7*31; running it a bit further. Taking 122556.

schickel · 2010-12-10, 22:46

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

schickel · 2010-12-11, 06:17

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....

fivemack · 2010-12-11, 08:13

122556 at 2^4*5*29*31, abandoning
700700 at 2^4*31, abandoning

Andi47 · 2010-12-11, 09:25

948780 is now at i=1536, 2⁴*31. unreserving it

gd_barnes · 2010-12-15, 05:17

I knocked this one out:

263862 1397. sz 103 2^4 * 3 * 31 * 59

schickel · 2010-12-18, 08:04

I guess I'll take the last of the first batch: 240096.

schickel · 2010-12-19, 07:20

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

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, 19:02	#4
fivemack (loop (#_fork)) Feb 2006 Cambridge, England 3³·239 Posts	700700 now 2^45^2731; 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...

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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 2^431** 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, 16:27	#3
Andi47 Oct 2004 Austria 2·17·73 Posts	the DB has 576648 at i=722 with 2^4331. taking 948780

2010-12-11, 08:13	#7
fivemack (loop (#_fork)) Feb 2006 Cambridge, England 3³×239 Posts	122556 at 2^452931, abandoning 700700 at 2^431, 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.