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Message boards : 321 Prime Search : 3*2^7033641+1 is prime!

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Message 33579 - Posted: 1 Mar 2011 | 5:32:10 UTC
Last modified: 5 Mar 2011 | 23:44:01 UTC

On 21 Feb 2011 21:45:32 UTC, PrimeGrid’s 321 Prime Search found another Mega Prime: 3*2^7033641+1

The prime is 2,117,338 digits long and will enter Chris Caldwell's The Largest Known Primes Database ranked 14th overall. This is the second mega prime and the largest for the 3*2^n+1 form. It is also the second largest found mega prime using LLR and PrimeGrid's 10th overall mega prime.

The discovery was made by Michael Herder using an Intel Core i7 920 @ 2.67GHz with 6 GB RAM running Windows 7 Ultimate x64. This computer took just over 17 hours and 24 minutes to complete the primality test using LLR. Michael is a member of the BOINCstats team.

For more details, please see the official announcement.

(x)(g)FN testing has already begun. Many of you may recall the previous time we had to conduct this "extra" testing on the prime 3*2^5082306+1. It requires a substantial amount of processing power.

However, this time we are running a "quick" test on the prime which will give us all the potential GF and xGF divisibilities. Once we know these, then we can begin the individual tests on each potential (a,b) divisibility. This frees us up from having to test every (a,b) pair.

The "quick" test will take up to 5 days. It will run the following, each taking the time of one primality test:

GF_sprime_2:
GF_sprime_3:
GF_sprime_5:
GF_sprime_7:
GF_sprime_11:

If you are interested in helping out, please keep tabs on this thread as we'll be doing the testing here. I'll make regular progress updates. Currently we are at:

1 Mar 2011 | 05:32:10 UTC: GF_sprime_2: 3*2^7033641+1 6922500/7033640
1 Mar 2011 | 16:35:53 UTC: GF_sprime_3: 3*2^7033641+1 5817500/7033640
2 Mar 2011 | 00:20:45 UTC: GF_sprime_5: 3*2^7033641+1 2762500/7033640
2 Mar 2011 | 23:53:18 UTC: GF_sprime_11: 3*2^7033641+1 1102500/7033640
3 Mar 2011 | 14:30:29 UTC: GFN testing completed

Initial Results COMPLETE

3*2^7033641+1 is a Factor of GF(7033640-? ,3)!!!! (239601.293177 seconds)
3*2^7033641+1 is a Factor of xGF(7033640,5,2)!!!! (239601.299181 seconds)
3*2^7033641+1 is a Factor of xGF(7033640,6,5)!!!! (0.005470 seconds)

3*2^7033641+1 is a Factor of xGF(7033640-? ,7,4)!!!! (0.002565 seconds)
3*2^7033641+1 is a Factor of GF(7033640-? ,8)!!!! (0.004734 seconds)
3*2^7033641+1 is a Factor of xGF(7033640-? ,8,3)!!!! (0.005920 seconds)
3*2^7033641+1 is a Factor of xGF(7033640-? ,9,8)!!!! (0.013459 seconds)

3*2^7033641+1 is a Factor of xGF(7033640,10,7)!!!! (0.003695 seconds)
3*2^7033641+1 is a Factor of xGF(7033640,11,4)!!!! (0.005135 seconds)
3*2^7033641+1 is a Factor of xGF(7033640,11,7)!!!! (0.003988 seconds)

3*2^7033641+1 is a Factor of xGF(7033640-? ,11,10)!!!! (0.001959 seconds)
3*2^7033641+1 is a Factor of xGF(7033640-? ,12,7)!!!! (0.006395 seconds)

3*2^7033641+1 is a Factor of xGF(7033640,12,11)!!!! (0.001326 seconds)

Unfortunately, not a Fermat number divisor.

Additional Results COMPLETE

As you can see above, we know 6 divisibilities and now need to run additional testing on the following:

GF tests
pfgw -l3_1.log -gxo3,1 -a2 -q"3*2^7033641+1" John COMPLETE
3*2^7033641+1 is a Factor of GF(7033639,3)!!!! (61048.849232 seconds)
pfgw -l8_1.log -gxo8,1 -a2 -q"3*2^7033641+1" Hammeh COMPLETE
3*2^7033641+1 is a Factor of GF(7033639,8)!!!! (188482.798000 seconds)

xGF tests
pfgw -l7_4.log -gxo7,4 -a2 -q"3*2^7033641+1" John COMPLETE
3*2^7033641+1 is a Factor of xGF(7033639,7,4)!!!! (108899.976090 seconds)
pfgw -l8_3.log -gxo8,3 -a2 -q"3*2^7033641+1" pschoefer COMPLETE
3*2^7033641+1 is a Factor of xGF(7033637,8,3)!!!! (156655.594000 seconds)
pfgw -l9_8.log -gxo9,8 -a2 -q"3*2^7033641+1" pschoefer COMPLETE
3*2^7033641+1 is a Factor of xGF(7033639,9,8)!!!! (159767.811000 seconds)
pfgw -l11_10.log -gxo11,10 -a2 -q"3*2^7033641+1" TheDawgz COMPLETE
3*2^7033641+1 is a Factor of xGF(7033638,11,10)!!!! (-769.035360 seconds)
pfgw -l12_7.log -gxo12,7 -a2 -q"3*2^7033641+1" TheDawgz COMPLETE
3*2^7033641+1 is a Factor of xGF(7033638,12,7)!!!! (-768.795360 seconds)

Final Results COMPLETE

3*2^7033641+1 is a Factor of GF(7033639,3)!!!! (61048.849232 seconds)
3*2^7033641+1 is a Factor of GF(7033639,8)!!!! (188482.798000 seconds)
3*2^7033641+1 is a Factor of xGF(7033640,5,2)!!!! (239601.299181 seconds)
3*2^7033641+1 is a Factor of xGF(7033640,6,5)!!!! (0.005470 seconds)
3*2^7033641+1 is a Factor of xGF(7033639,7,4)!!!! (108899.976090 seconds)
3*2^7033641+1 is a Factor of xGF(7033637,8,3)!!!! (156655.594000 seconds)
3*2^7033641+1 is a Factor of xGF(7033639,9,8)!!!! (159767.811000 seconds)
3*2^7033641+1 is a Factor of xGF(7033640,10,7)!!!! (0.003695 seconds)
3*2^7033641+1 is a Factor of xGF(7033640,11,4)!!!! (0.005135 seconds)
3*2^7033641+1 is a Factor of xGF(7033640,11,7)!!!! (0.003988 seconds)
3*2^7033641+1 is a Factor of xGF(7033638,11,10)!!!! (-769.035360 seconds)
3*2^7033641+1 is a Factor of xGF(7033638,12,7)!!!! (-768.795360 seconds)
3*2^7033641+1 is a Factor of xGF(7033640,12,11)!!!! (0.001326 seconds)
____________

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Message 33658 - Posted: 2 Mar 2011 | 6:08:10 UTC - in response to Message 33579.

Hello!

I don't understand what GF_sprime_X means. Could somebody please explain it to me?

Also, has it already been determined that this new prime does not divide a classical Fermat number?

JohnProject donor
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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 33769 - Posted: 3 Mar 2011 | 15:59:04 UTC - in response to Message 33658.
Last modified: 3 Mar 2011 | 15:59:19 UTC

I don't understand what GF_sprime_X means. Could somebody please explain it to me?

That's pfgw logging while it tests the 5 prime bases: 2, 3, 5, 7, 11.

Also, has it already been determined that this new prime does not divide a classical Fermat number?

Initial testing is complete and the prime is not a Fermat number divisor.
____________

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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 33770 - Posted: 3 Mar 2011 | 16:14:29 UTC

Initial Testing Complete

The quick test is complete. Results are in the first post of this thread. I have started one GF and one xGF test. The others are available for anyone interested in testing. Just post in this thread which test(s) you'd wish to do.

The latest pfgw is available in the PRPNet packages or you can download it here. I'm using pfgw64.

To run the test, simply copy the line, paste and run. For example, in my case for (3,1) I run the following:

./pfgw64 -l3_1.log -gxo3,1 -a2 -q"3*2^7033641+1"

It is unknown right now how long these tests will take. However, the initial quick test completed two days ahead of expectations. :)
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Message 33773 - Posted: 3 Mar 2011 | 16:37:35 UTC

I would love you help you out with this.

I have downloaded and unziped pfgw. Would you be able to tell me which file to run inside the folder?

Thanks
Peter
____________

My Top 5000 Primes:
110059!+1 is prime! (FPS)
14493618614235*2^666666-1 is prime! (SGS)

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Message 33778 - Posted: 3 Mar 2011 | 16:46:42 UTC

Oh ok I think I have got it running
I ran Win32PFGW and entered pfgw -l8_1.log -gxo8,1 -a2 -q3*2^7033641+1, which is number 2 on the list, and its running.

Can you just confirm that is correct?

Thanks
Peter
____________

My Top 5000 Primes:
110059!+1 is prime! (FPS)
14493618614235*2^666666-1 is prime! (SGS)

JohnProject donor
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Message 33779 - Posted: 3 Mar 2011 | 16:49:00 UTC - in response to Message 33778.

I ran Win32PFGW and entered pfgw -l8_1.log -gxo8,1 -a2 -q3*2^7033641+1, which is number 2 on the list, and its running.

Can you just confirm that is correct?

Yes, that is correct.
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Message 33780 - Posted: 3 Mar 2011 | 16:50:53 UTC

Ok great =)
I'll post back the results when it finishes.

Peter
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My Top 5000 Primes:
110059!+1 is prime! (FPS)
14493618614235*2^666666-1 is prime! (SGS)

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Message 33781 - Posted: 3 Mar 2011 | 16:51:26 UTC - in response to Message 33770.

...always a bridesmaid ...never a bride. I'll take

pfgw64 -l11_10.log -gxo11,10 -a2 -q"3*2^7033641+1"

and

pfgw64 -l12_7.log -gxo12,7 -a2 -q"3*2^7033641+1"




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Message 33794 - Posted: 3 Mar 2011 | 20:35:40 UTC

I'll do the rest:
pfgw -l8_3.log -gxo8,3 -a2 -q"3*2^7033641+1"
pfgw -l9_8.log -gxo9,8 -a2 -q"3*2^7033641+1"
____________

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Message 33801 - Posted: 4 Mar 2011 | 1:10:09 UTC - in response to Message 33781.

...always a bridesmaid ...never a bride. I'll take
pfgw64 -l11_10.log -gxo11,10 -a2 -q"3*2^7033641+1"
and
pfgw64 -l12_7.log -gxo12,7 -a2 -q"3*2^7033641+1"


Unable to run pfgw64 - causes my system to hang after about 2 hours of runtime.
So I am running with pfgw32 instead.

Log files remain empty while running???

Current status after 3hrs running:
$ ./pfgw32 -l12_7.log -gxo12,7 -a2 -q"3*2^7033641+1"

PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]

Output logging to file 12_7.log
xGF_'12'_7: 3*2^7033641+1 1082500/7033610

and

$ ./pfgw32 -l11_10.log -gxo11,10 -a2 -q"3*2^7033641+1"
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]

Output logging to file 11_10.log
xGF_'11'_10: 3*2^7033641+1 1102500/7033610


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PPS LLR Bronze: Earned 10,000 credits (11,534)SGS LLR Bronze: Earned 10,000 credits (66,436)321 Sieve (suspended) Bronze: Earned 10,000 credits (34,150)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (118,830)PPS Sieve Ruby: Earned 2,000,000 credits (3,857,433)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (12,667)PSA Silver: Earned 100,000 credits (250,466)
Message 33805 - Posted: 4 Mar 2011 | 7:30:42 UTC
Last modified: 4 Mar 2011 | 7:55:39 UTC

Yeah its the same for me running pfgw32, log file is empty.
Currently still running, 15 hours so far.

GF_8: 3*2^7033641+1 1947500/7033610
____________

My Top 5000 Primes:
110059!+1 is prime! (FPS)
14493618614235*2^666666-1 is prime! (SGS)

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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 33818 - Posted: 4 Mar 2011 | 14:06:34 UTC - in response to Message 33801.

...always a bridesmaid ...never a bride. I'll take
pfgw64 -l11_10.log -gxo11,10 -a2 -q"3*2^7033641+1"
and
pfgw64 -l12_7.log -gxo12,7 -a2 -q"3*2^7033641+1"


Unable to run pfgw64 - causes my system to hang after about 2 hours of runtime.
So I am running with pfgw32 instead.

Log files remain empty while running???

Yes, sadly pfgw does not log while running these types of tests. All output will come at the end of the test.

NOTE: the xGF tests will take 3 to 4 times longer than the GF tests.
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Message 33823 - Posted: 4 Mar 2011 | 15:18:54 UTC

Progress after ~18 hours:
xGF_'8'_3: 3*2^7033641+1 5962500/7033610
xGF_'9'_8: 3*2^7033641+1 5807500/7033610

IIRC, it'll do a second step (xGF_8_'3' and xGF_9_'8') once this first step is finished, so I expect the tests to be completed about 24 hours from now. :)
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PPS LLR Bronze: Earned 10,000 credits (11,534)SGS LLR Bronze: Earned 10,000 credits (66,436)321 Sieve (suspended) Bronze: Earned 10,000 credits (34,150)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (118,830)PPS Sieve Ruby: Earned 2,000,000 credits (3,857,433)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (12,667)PSA Silver: Earned 100,000 credits (250,466)
Message 33827 - Posted: 4 Mar 2011 | 16:27:35 UTC

My progress after ~22 hours....
GF_8: 3*2^7033641+1 3207500/7033610

Seems like its going to be at least another 24h
____________

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110059!+1 is prime! (FPS)
14493618614235*2^666666-1 is prime! (SGS)

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321 LLR Turquoise: Earned 5,000,000 credits (7,959,755)Cullen LLR Turquoise: Earned 5,000,000 credits (5,647,841)ESP LLR Turquoise: Earned 5,000,000 credits (5,043,113)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,228,486)PPS LLR Emerald: Earned 50,000,000 credits (54,952,284)PSP LLR Turquoise: Earned 5,000,000 credits (5,773,257)SoB LLR Turquoise: Earned 5,000,000 credits (6,043,251)SR5 LLR Turquoise: Earned 5,000,000 credits (7,877,286)SGS LLR Turquoise: Earned 5,000,000 credits (5,867,377)TRP LLR Turquoise: Earned 5,000,000 credits (8,392,395)Woodall LLR Turquoise: Earned 5,000,000 credits (5,055,169)321 Sieve (suspended) Silver: Earned 100,000 credits (200,220)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (6,710,149)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (10,061,184)PPS Sieve Emerald: Earned 50,000,000 credits (57,182,910)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,251,279)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (3,572,416)AP 26/27 Gold: Earned 500,000 credits (543,507)GFN Sapphire: Earned 20,000,000 credits (21,190,036)PSA Double Silver: Earned 200,000,000 credits (248,258,813)
Message 33833 - Posted: 4 Mar 2011 | 18:58:19 UTC

Just shy of 21 cpu hours and both the xGF 11,10 and the xGF 12,7 tests have moved into the 2nd pass; will post the contents (should there be any) of the log files tomorrow when 2nd pass has completed.

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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 33851 - Posted: 4 Mar 2011 | 23:44:42 UTC - in response to Message 33823.

IIRC, it'll do a second step (xGF_8_'3' and xGF_9_'8') once this first step is finished...

Confirmed, only two passes.
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321 LLR Ruby: Earned 2,000,000 credits (3,488,687)Cullen LLR Ruby: Earned 2,000,000 credits (3,351,076)ESP LLR Ruby: Earned 2,000,000 credits (2,673,153)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (681,323)PPS LLR Turquoise: Earned 5,000,000 credits (6,109,130)PSP LLR Turquoise: Earned 5,000,000 credits (6,435,120)SoB LLR Ruby: Earned 2,000,000 credits (3,410,755)SR5 LLR Ruby: Earned 2,000,000 credits (3,814,614)SGS LLR Turquoise: Earned 5,000,000 credits (5,119,747)TPS LLR (retired) Bronze: Earned 10,000 credits (76,372)TRP LLR Turquoise: Earned 5,000,000 credits (7,767,011)Woodall LLR Turquoise: Earned 5,000,000 credits (6,553,414)321 Sieve (suspended) Silver: Earned 100,000 credits (209,833)Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,264)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,647,096)PPS Sieve Double Silver: Earned 200,000,000 credits (309,764,626)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (3,177,104)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,556,644)AP 26/27 Jade: Earned 10,000,000 credits (11,130,259)GFN Double Silver: Earned 200,000,000 credits (240,339,409)PSA Double Gold: Earned 500,000,000 credits (748,078,878)
Message 33876 - Posted: 5 Mar 2011 | 16:19:38 UTC

While (9,8) needs another hour or two, test for (8,3) is just finished:

>pfgw64.exe -l8_3.log -gxo8,3 -a2 -q"3*2^7033641+1"
PFGW Version 3.4.5.64BIT.20110215.Win_Dev [GWNUM 26.5]

Output logging to file 8_3.log
3*2^7033641+1 is a Factor of xGF(7033637,8,3)!!!! (156655.594000 seconds)
____________

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321 LLR Ruby: Earned 2,000,000 credits (3,488,687)Cullen LLR Ruby: Earned 2,000,000 credits (3,351,076)ESP LLR Ruby: Earned 2,000,000 credits (2,673,153)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (681,323)PPS LLR Turquoise: Earned 5,000,000 credits (6,109,130)PSP LLR Turquoise: Earned 5,000,000 credits (6,435,120)SoB LLR Ruby: Earned 2,000,000 credits (3,410,755)SR5 LLR Ruby: Earned 2,000,000 credits (3,814,614)SGS LLR Turquoise: Earned 5,000,000 credits (5,119,747)TPS LLR (retired) Bronze: Earned 10,000 credits (76,372)TRP LLR Turquoise: Earned 5,000,000 credits (7,767,011)Woodall LLR Turquoise: Earned 5,000,000 credits (6,553,414)321 Sieve (suspended) Silver: Earned 100,000 credits (209,833)Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,264)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,647,096)PPS Sieve Double Silver: Earned 200,000,000 credits (309,764,626)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (3,177,104)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,556,644)AP 26/27 Jade: Earned 10,000,000 credits (11,130,259)GFN Double Silver: Earned 200,000,000 credits (240,339,409)PSA Double Gold: Earned 500,000,000 credits (748,078,878)
Message 33883 - Posted: 5 Mar 2011 | 17:08:50 UTC

Second test done:

>pfgw64.exe -l9_8.log -gxo9,8 -a2 -q"3*2^7033641+1"
PFGW Version 3.4.5.64BIT.20110215.Win_Dev [GWNUM 26.5]

Output logging to file 9_8.log
3*2^7033641+1 is a Factor of xGF(7033639,9,8)!!!! (159767.811000 seconds)
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321 LLR Turquoise: Earned 5,000,000 credits (7,959,755)Cullen LLR Turquoise: Earned 5,000,000 credits (5,647,841)ESP LLR Turquoise: Earned 5,000,000 credits (5,043,113)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,228,486)PPS LLR Emerald: Earned 50,000,000 credits (54,952,284)PSP LLR Turquoise: Earned 5,000,000 credits (5,773,257)SoB LLR Turquoise: Earned 5,000,000 credits (6,043,251)SR5 LLR Turquoise: Earned 5,000,000 credits (7,877,286)SGS LLR Turquoise: Earned 5,000,000 credits (5,867,377)TRP LLR Turquoise: Earned 5,000,000 credits (8,392,395)Woodall LLR Turquoise: Earned 5,000,000 credits (5,055,169)321 Sieve (suspended) Silver: Earned 100,000 credits (200,220)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (6,710,149)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (10,061,184)PPS Sieve Emerald: Earned 50,000,000 credits (57,182,910)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,251,279)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (3,572,416)AP 26/27 Gold: Earned 500,000 credits (543,507)GFN Sapphire: Earned 20,000,000 credits (21,190,036)PSA Double Silver: Earned 200,000,000 credits (248,258,813)
Message 33891 - Posted: 5 Mar 2011 | 19:41:34 UTC
Last modified: 5 Mar 2011 | 19:44:37 UTC

Both tests completed.

./pfgw32 -l11_10.log -gxo11,10 -a2 -q"3*2^7033641+1"
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]

Output logging to file 11_10.log
3*2^7033641+1 is a Factor of xGF(7033638,11,10)!!!! (-769.035360 seconds)

And

./pfgw32 -l12_7.log -gxo12,7 -a2 -q"3*2^7033641+1"
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]

Output logging to file 12_7.log
3*2^7033641+1 is a Factor of xGF(7033638,12,7)!!!! (-768.795360 seconds)
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PPS LLR Bronze: Earned 10,000 credits (11,534)SGS LLR Bronze: Earned 10,000 credits (66,436)321 Sieve (suspended) Bronze: Earned 10,000 credits (34,150)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (118,830)PPS Sieve Ruby: Earned 2,000,000 credits (3,857,433)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (12,667)PSA Silver: Earned 100,000 credits (250,466)
Message 33899 - Posted: 5 Mar 2011 | 23:20:24 UTC

My test is completed:
3*2^7033641+1 is a Factor of GF(7033639,8)!!!! (188482.798000 seconds)

Any other tests that need run??
____________

My Top 5000 Primes:
110059!+1 is prime! (FPS)
14493618614235*2^666666-1 is prime! (SGS)

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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 33901 - Posted: 5 Mar 2011 | 23:51:29 UTC - in response to Message 33899.

Any other tests that need run??

No, that completes the testing.

Thank you to all that helped out. Final results are listed at the bottom of the first post. Wilfrid Keller will list them on the following page: Factors of generalized Fermat numbers found after Björn & Riesel

Your names will appear next to your discovery as well as in the credits. :) On to the next prime...searching for that next Fermat number divisor.
____________

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Message 45462 - Posted: 22 Dec 2011 | 20:15:21 UTC - in response to Message 33579.

cool

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