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2017-01-26, 20:26   #639
paulunderwood

Sep 2002
Database er0rr

1111010110002 Posts

Quote:
 Originally Posted by rudy235 I would think there is no method of proving deterministically such a large prime of that form even if it were a PRP (which apparently it is NOT)
There is ECPP that would prove it -- umpteen centuries of calculation.

Chris tells me that he is going to let it run its course. His server is not doing much, he wrote.

The chance it is a PRP is next to zero

2017-01-26, 20:30   #640
pepi37

Dec 2011
After milion nines:)

1,483 Posts

Quote:
 Originally Posted by paulunderwood The chance it is a PRP is next to zero
Better to be next to zero then zero

 2017-01-26, 21:59 #641 henryzz Just call me Henry     "David" Sep 2007 Cambridge (GMT/BST) 5×1,187 Posts 106661 is a factor
2017-01-26, 22:31   #642
pepi37

Dec 2011
After milion nines:)

1,483 Posts

Quote:
 Originally Posted by henryzz 106661 is a factor
So now it is not more interesting when we know factor :)

2017-01-27, 04:03   #643
rudy235

Jun 2015
Vallejo, CA/.

2×509 Posts

Quote:
 Originally Posted by paulunderwood There is ECPP that would prove it -- umpteen centuries of calculation.
With infinite time not only ECPP would work. Trial division would also.

2017-01-27, 04:09   #644
paulunderwood

Sep 2002
Database er0rr

23×491 Posts

Quote:
 Originally Posted by rudy235 With infinite time not only ECPP would work. Trial division would also.
Code:
? (3200000/34000)^4*1.25
98083116.820919289759461692269010189054
About 100 million years on my 48 core box for ECPP -- with a 96 core Xeon you could halve that. In fact, with an increase in technology over those millions of years it would be even less. Having said this , the certificate would enormous.

How long for trial division?

Last fiddled with by paulunderwood on 2017-01-27 at 04:41

2017-01-27, 06:24   #645
rudy235

Jun 2015
Vallejo, CA/.

2×509 Posts

Quote:
 Originally Posted by paulunderwood Code: ? (3200000/34000)^4*1.25 98083116.820919289759461692269010189054 About 100 million years on my 48 core box for ECPP -- with a 96 core Xeon you could halve that. In fact, with an increase in technology over those millions of years it would be even less. Having said this , the certificate would enormous. How long for trial division?
I am guessing Death of the Universe TM[B][/B] would come first.

 2017-02-19, 15:58 #646 pinhodecarlos     "Carlos Pinho" Oct 2011 Milton Keynes, UK 498910 Posts 5,200,000-5,225,000 - 60% complete 5,225,000-5,250,000 - 60% complete
 2017-03-05, 15:12 #647 Thomas11     Feb 2003 191510 Posts 5.3M-5.4M complete, no primes.
2017-03-12, 19:24   #648
pinhodecarlos

"Carlos Pinho"
Oct 2011
Milton Keynes, UK

3·1,663 Posts

Partial results.
Code:
5,200,000-5,220,000 - Carlos         - Complete
5,220,000-5,225,000 - Carlos         - In Progress
5,225,000-5,245,000 - Carlos         - Complete
5,245,000-5,250,000 - Carlos         - In Progress
Attached Files
 k5_5200to5220.zip (13.6 KB, 97 views) k5_5225to5245.zip (12.8 KB, 100 views)

2017-03-25, 16:20   #649
pinhodecarlos

"Carlos Pinho"
Oct 2011
Milton Keynes, UK

3·1,663 Posts

5245-5250 complete, no primes. This completes 5225-5250.
Attached Files
 k5_5225to5250.zip (16.0 KB, 97 views)

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