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 2009-04-14, 03:00 #1 wblipp     "William" May 2003 New Haven 23·103 Posts One-Two Knockout Punch on Easter Sunday yoyo@home users found a P48 and a P50 for 23080+1, finishing the factorization of this primitive by leaving a P481. User jalmari found the P48 at 9:40 CET on Easter Sunday, then user Bent Vangli finished the number with a P50 at 12:20. No factors were previously known for this primitive. The factors were all confirmed prime with Dario Alpern's Java factoring applet. This is the sixteenth primitive for which ElevenSmooth has completed the factorization, and the fourth done by yoyo@home. Last fiddled with by wblipp on 2009-04-14 at 12:47
2009-04-14, 04:51   #2
Andi47

Oct 2004
Austria

2·17·73 Posts

Quote:
 Originally Posted by wblipp This is the sixteenth primitive for which ElevenSmooth has completed the factorization, and the fourth done by yoyo@home.

 2009-04-14, 08:16 #3 10metreh     Nov 2008 2×33×43 Posts
 2009-04-14, 08:29 #4 Aillas     Oct 2002 France 2368 Posts Easter Sunday has been very dense in chocolat The good link is this one But also, I think the good primitive is not 23080+1 but rather 26160+1 Ludo Last fiddled with by Aillas on 2009-04-14 at 08:31
2009-04-14, 08:31   #5
10metreh

Nov 2008

2×33×43 Posts

Quote:
 Originally Posted by Aillas The good link is this one But also, I think the good primitive is not 2^3080+1 but rather 2^6160+1 Ludo

It is M(6160), which is 2^6160-1. This factors into (2^3080-1)(2^3080+1).

2009-04-14, 08:37   #6
Aillas

Oct 2002
France

2·79 Posts

Quote:
It was not when I start to reply
You have been faster then me to post the link.

 2009-04-14, 12:55 #7 wblipp     "William" May 2003 New Haven 23×103 Posts Would you believe I do that on purpose to see if anybody is reading these? No? Well, thanks for the correction. I've fixed the top post. 10metreh has explained the cyclotomy correctly.
2009-04-14, 14:24   #8
R.D. Silverman

Nov 2003

22·5·373 Posts

Quote:
 Originally Posted by wblipp yoyo@home users found a P48 and a P50 for 23080+1, finishing the factorization of this primitive by leaving a P481. User jalmari found the P48 at 9:40 CET on Easter Sunday, then user Bent Vangli finished the number with a P50 at 12:20. No factors were previously known for this primitive. The factors were all confirmed prime with Dario Alpern's Java factoring applet. This is the sixteenth primitive for which ElevenSmooth has completed the factorization, and the fourth done by yoyo@home.

I am sure that Sam Wagstaff would be pleased to receive these results.

2009-04-14, 17:06   #9
wblipp

"William"
May 2003
New Haven

23×103 Posts

Quote:
 Originally Posted by R.D. Silverman I am sure that Sam Wagstaff would be pleased to receive these results.
These are above the current Cunningham range. Sam's Cunningham project page has a link for Extension to the Base 2 tables that goes to Will Edgington's Mersenne Page.

I keep Will informed of all factors. Do you think I should also directly inform Sam? I interpreted these links to mean he didn't want to be involved in the minutiae of over-range factors, and would check with Will when he needed to know them.

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