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Old 2009-04-14, 03:00   #1
wblipp
 
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"William"
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Default 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
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Old 2009-04-14, 04:51   #2
Andi47
 
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Quote:
Originally Posted by wblipp View Post
This is the sixteenth primitive for which ElevenSmooth has completed the factorization, and the fourth done by yoyo@home.
The link is 404.
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Old 2009-04-14, 08:16   #3
10metreh
 
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Here's the link he meant.
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Old 2009-04-14, 08:29   #4
Aillas
 
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Default 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
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Old 2009-04-14, 08:31   #5
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Quote:
Originally Posted by Aillas View Post
The good link is this one

But also, I think the good primitive is not 2^3080+1 but rather 2^6160+1

Ludo
Hadn't you noticed the good link had already been posted?

It is M(6160), which is 2^6160-1. This factors into (2^3080-1)(2^3080+1).
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Old 2009-04-14, 08:37   #6
Aillas
 
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Quote:
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Hadn't you noticed the good link had already been posted?
It was not when I start to reply
You have been faster then me to post the link.
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Old 2009-04-14, 12:55   #7
wblipp
 
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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.
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Old 2009-04-14, 14:24   #8
R.D. Silverman
 
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Quote:
Originally Posted by wblipp View Post
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.
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Old 2009-04-14, 17:06   #9
wblipp
 
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Quote:
Originally Posted by R.D. Silverman View Post
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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