Team StarQwest
I work on other projects besides StarQwest1. I am a proud member of the Great Internet Mersenne Prime Search (GIMPS). This is a volunteer organization that searches for new mersenne prime numbers. Visit http://www.mersenne.org for more information. I am the leader of Team StarQwest, and invite anyone interested to join. It is free to join GIMPS and Team StarQwest, and you might find a mersenne prime and win some money. If you want to join Team StarQwest, you must follow these instructions:


Download and install Prime95 v. 24.14 on your computer.

Once installed, click "Join GIMPS." A box will pop up titled "End User Information." Fill it out as shown in the diagram below. You MUST use "StarQwest" as you user ID and "starship" as your password in order to join Team StarQwest. Enter your name, email address, and choose a unique computer ID. You can also check to receive an occasional newsletter. You do not need to check the "create a team" box because the team already exists. When this box is filled out, click OK.

Next, you will see a box titled "CPU Settings and Information." Fill it out and click OK.

Next, you will see a box titled "Configure PrimeNet." Fill it out and click OK.
 Now, Prime95 will display "Contacting PrimeNet Server." It will update the server and you will be a member of Team StarQwest! You will then be assigned mersenne numbers to test for primality. If you succeed, you will win some money. See http://www.mersenne.org/prize.htm for more details on this.
Current GIMPS Members
If you are already a member of GIMPS and you want to join Team StarQwest, then follow these instructions:

Open Prime95 on all machines you wish to have incorporated into Team StarQwest. (The following instructions must be performed separately on ALL machines to have them become part of the team.)

Click on "test" (upper lefthand corner).

Scroll down and click on "user information"

A box will open asking for personal information. This is the same "End User Information" box shown above. Beside "Your User ID," type "StarQwest."

Beside "Your Password," type "starship."

Pick a computer ID name for yourself.

Manually contact PrimeNet select "Manual Communication" under the Advanced menu, letting the server know of the changes, and you'll be an official member of team StarQwest!
Note that finding mersenne primes is no easy task. It takes a full month to test one ten million digit number on a Pentium 4 3.0GHz computer, and your odds of success are nearly 300,000 to one! However, there is also factoring work which is less difficult and more likely to succeed, although you will never find a prime this way. Only first time testing and doublechecking gives you the chance to find one of these rare primes. GIMPS has found 10 since 1996. Once you are a member of GIMPS, you may want to check out http://www.mersenneforum.org, which is a discussion board for GIMPS members as well as other prime hunters.
Team StarQwest has currently completed 244.116 P90 CPU years (2.540741 x 10^{17 }calculations) for Lucas Lehmer testing and 23.728 P90 CPU years (2.469592 x 10^{16} calculations) for factoring! This places Team StarQwest at #1487 in the rankings for LL testing and at #344 in the rankings for factoring. The team currently has 1 active member, has tested 25 mersenne numbers for primality, all of which have turned up composite, and has successfully factored 1 mersenne number. My goal is to eventually have a large top 100 team with dozens of members. I have indepth results presented below on Team StarQwest's biggest projects, M100,000,007 (completed) and M332,192,831 (in progress).
Here is a complete document of all the mersenne numbers I have tested so far:
http://www.StarQwest.org/GIMPS My Completed Work.doc
Team StarQwest Discussion Board
I've started my own thread on http://www.mersenneforum.org for Team StarQwest. Anyone can view this thread and post any questions they may have. I occasionally post team news there as well. It serves as a discussion board for all members as well as anyone else interested in the team and mersenne primes. The link to this thread is:
http://www.mersenneforum.org/showthread.php?t=6389
NOTE: You have to create a user name (it's free) on http://www.mersenneforum.org in order to post messages on this discussion board as well as the other threads on the forum. However, anyone can view the forum.
M100,000,007
On January 10^{th}, 2006 at 9:55 A.M. EST, Team StarQwest began testing the mersenne number 2^{100,000,007}1 for primality. First, the number was trial factored to 2^{72} and no factor was found. On January 20^{th}, 2006 at 6:55 P.M. EST, trial factoring concluded and P1 factoring began, with parameters B1=435,000 and B2=12,288,750. On January 28^{th}, 2006 at 11:45 P.M. EST, P1 factoring concluded and no factor was found. Thus, I began the long LucasLehmer test. This test finished on December 18^{th}, 2006 at 8:56 A.M. EST. It was proven to not be prime, meaning that there exists some factor between 2^{72} and 2^{100,000,007}. This is currently the largest number ever tested for primality, containing 30,103,002 digits! I was originally unsure if there were undiscovered bugs in the program that would mess up a test on a number of this size, but I now know that there are not. The test finished flawlessly.
One interesting observation is how the test appears on http://mersenne.org/primenet/status.txt. Because the database can only register 8 digits, the test has always appeared as ********. The current iteration count has always displayed a number, until the very end when iteration 100,000,000 was surpassed. It too changed to stars. Here is a before and after screenshot of this:
One hour before the test finished:
After 100,000,000 iterations has been reached:
And finally, on the cleared exponents list:
Prime95 is not interrupted at all by the transition into iteration 100,000,000. This test finished as smoothly as all others. Here is a screenshot of Prime95 finishing the test:
Also, dozens of interim residues have been recorded throughout this test. Here are all known residues:
UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue E681C9077EE4FD42 at iteration 1,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 34211B4986CB9C75 at iteration 2,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 4288B8B459EC89E5 at iteration 3,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 51B5C09F102A9737 at iteration 4,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue A8EA3595BE1BE6CD at iteration 5,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 60EE254CAD5485DE at iteration 6,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue DA4C5BE8FD29D3D3 at iteration 7,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 985669CF96BEE874 at iteration 8,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue A0C2FF7D3C524DD1 at iteration 9,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 7B868E2F72682E83 at iteration 10,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 625C08E828DC0912 at iteration 11,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 386EDAA043CAD4E0 at iteration 12,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue CD173BB8EA47D1E1 at iteration 13,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue E5D34D4B46927B53 at iteration 14,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 04FD0307810FC1CE at iteration 15,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 09F9E029C0440EB8 at iteration 16,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue DA212AB637063F3E at iteration 17,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 6128F767CFEA01CC at iteration 18,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 1D2B4984CCA992C5 at iteration 19,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 15B85D8263CBFD53 at iteration 20,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 1941732CF6FBFE24 at iteration 21,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 9673E0D485D4A0DF at iteration 22,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 128D2F6F7A8571F3 at iteration 23,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue E60D03D01FE6053E at iteration 24,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 23811F69CE704A51 at iteration 25,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 2661BF62630B51B4 at iteration 26,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue EB6D994585AC8EA8 at iteration 27,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue FE93998B5D0B17C3 at iteration 28,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue B9A7521D889D34D4 at iteration 29,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue CCC53FC15F37FDA3 at iteration 30,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 175696BFD6268F90 at iteration 31,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue DE6279AB0D72ECC6 at iteration 32,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 4544BDD99282FC4B at iteration 33,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue DEB8BB3DEF0A4034 at iteration 34,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 40C31F173EADA986 at iteration 35,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 0DEB6C77FEFDFF5F at iteration 36,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 4BCCB1A7FF172581 at iteration 37,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 835E096E7FE3DA81 at iteration 38,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 7A7EF0CB4F8F29F9 at iteration 39,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue E7987F1179FBB912 at iteration 40,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 6666B77A72B9C4A6 at iteration 41,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 0D96D934AE9F7611 at iteration 42,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue B1C50230FF560B31 at iteration 43,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue CD2B6BFEA7255647 at iteration 44,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 3FBC10923A213612 at iteration 45,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 9EC0A9361CA353C9 at iteration 46,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 2DDBE73EE83C6DEF at iteration 47,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue D381A9FF618B4269 at iteration 48,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 4267F5184668CACF at iteration 49,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue EC72EEF044DB86D6 at iteration 50,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 977B662E3D46BFF8 at iteration 51,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 4BC90AF4EFDCF27A at iteration 52,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 194CDFD811E7DA43 at iteration 53,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue EB597C412D62893B at iteration 54,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 2B1075EAA17D42FE at iteration 55,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue E58052E071DFFB4D at iteration 56,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 1860E3E21991A521 at iteration 57,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 206899F3F388A231 at iteration 58,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue C3A487D43A4BC155 at iteration 59,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 3B20D85B5B205CA7 at iteration 60,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue DFC9E992D32D9AD9 at iteration 61,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 805F9A7705B6232C at iteration 62,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 468BC836BB430E1E at iteration 63,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 2BE8D3A15EE91F3E at iteration 64,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue A9F28826FC47B575 at iteration 65,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 6EBA6D1D3432D2C0 at iteration 66,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue E8A51CEBB11B7F7F at iteration 67,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue C4E4173CCB57F9D7 at iteration 68,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 2BA9688C5D4B2679 at iteration 69,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue C757899056581F60 at iteration 70,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 471B3A938BCCBC24 at iteration 71,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue EB0D666898A196EA at iteration 72,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue A8C239BA842DE780 at iteration 73,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 2F94C4A12F06963C at iteration 74,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 512BDBE9B121DE85 at iteration 75,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 0D87D8C28B39654C at iteration 76,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 4D078078AB588039 at iteration 77,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 49841E598F45273F at iteration 78,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 1C1F6A1FEDFDAFAA at iteration 79,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue B0356FD5F0B9F698 at iteration 80,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue C9EC34F5A4868D9D at iteration 81,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 89ED9307520EC9B5 at iteration 82,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue B95F28BE15BCF118 at iteration 83,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue C579A44EE1E8A267 at iteration 84,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue E7D5892EF9B96473 at iteration 85,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue B601A50BD1A9B820 at iteration 86,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 9A5D2155D4F1DA64 at iteration 87,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 656CC0B5E907F76B at iteration 88,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 7C1977531DB496E0 at iteration 89,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 78BB4E28340D1C3C at iteration 90,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 0BA6D8CEF8074184 at iteration 91,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 29E374CF3884D508 at iteration 92,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 98AF4F33CE8144EB at iteration 93,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue D0A63C48001000E9 at iteration 94,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 2FDC36A96443E63F at iteration 95,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 1398D2CE943EF2CE at iteration 96,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 91FBB561B5F611E7 at iteration 97,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 29914F42E3FB4874 at iteration 98,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 4C902F2158EE3836 at iteration 99,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue AEF22BD7E46E6C6D at iteration 99,999,990 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 45F035D961DCBB71 at iteration 99,999,991 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 93ADD9AED7E4069F at iteration 99,999,992 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue CEA080E3ABE18E39 at iteration 99,999,993 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 0C72D95E601C2786 at iteration 99,999,994 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue C9283DB6BC8076BC at iteration 99,999,995 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 2AFA06E998AE41BF at iteration 99,999,996 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 641B865A11BE0D8B at iteration 99,999,997 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 2B2B4878CD588191 at iteration 99,999,998 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 05549AC00B997172 at iteration 99,999,999 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue D3487EE7AABAF7F4 at iteration 100,000,000 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 0DDA7D9B2892D630 at iteration 100,000,001 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 2214ABD2CF2F0D3D at iteration 100,000,002 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue DF84B55F68021A8D at iteration 100,000,003 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue B091E24D66F4256A at iteration 100,000,004 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue 92048CF4AA98256E at iteration 100,000,005 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue EC594E13CFFFA4FE at iteration 100,000,006 UID: StarQwest/StarQwest1, M100,000,007 interim Wc1 residue F9042256B193FA__ at iteration 100,000,007 UID: StarQwest/StarQwest1, M100,000,007 is not prime. Res64: F9042256B193FA__. Wc1: B3A6D2F6,86479267,00000000
In addition, I have a detailed log of my work on this test. Here it is:
[Tue Jan 10 9:55:09 2006] Begin trial factoring to 2^72 of M100,000,007.
[Tue Jan 10 10:02:04 2006] Factoring M100,000,007 to 2^63 is 50.000000% complete.
[Tue Jan 10 10:08:57 2006] Factoring M100,000,007 to 2^63 is 100.000000% complete.
[Tue Jan 10 10:21:52 2006] Factoring M100,000,007 to 2^64 is 50.000000% complete.
[Tue Jan 10 10:34:50 2006] Factoring M100,000,007 to 2^64 is 100.000000% complete.
[Tue Jan 10 10:54:23 2006] Factoring M100,000,007 to 2^65 is 33.333333% complete.
[Tue Jan 10 11:14:09 2006] Factoring M100,000,007 to 2^65 is 66.666667% complete.
[Tue Jan 10 11:33:37 2006] Factoring M100,000,007 to 2^65 is 100.000000% complete.
[Tue Jan 10 12:02:45 2006] Factoring M100,000,007 to 2^66 is 25.000000% complete.
[Tue Jan 10 12:31:20 2006] Factoring M100,000,007 to 2^66 is 50.000000% complete.
[Tue Jan 10 13:01:48 2006] Factoring M100,000,007 to 2^66 is 75.000000% complete.
[Tue Jan 10 13:32:04 2006] Factoring M100,000,007 to 2^66 is 100.000000% complete.
[Tue Jan 10 14:20:21 2006] Factoring M100,000,007 to 2^67 is 20.000000% complete.
[Tue Jan 10 15:08:50 2006] Factoring M100,000,007 to 2^67 is 40.000000% complete.
[Tue Jan 10 15:56:38 2006] Factoring M100,000,007 to 2^67 is 60.000000% complete.
[Tue Jan 10 16:44:04 2006] Factoring M100,000,007 to 2^67 is 80.000000% complete.
[Tue Jan 10 17:31:51 2006] Factoring M100,000,007 to 2^67 is 100.000000% complete.
[Tue Jan 10 19:07:16 2006] Factoring M100,000,007 to 2^68 is 20.000000% complete.
[Tue Jan 10 20:42:27 2006] Factoring M100,000,007 to 2^68 is 40.000000% complete.
[Tue Jan 10 22:18:20 2006] Factoring M100,000,007 to 2^68 is 60.000000% complete.
[Tue Jan 10 23:57:44 2006] Factoring M100,000,007 to 2^68 is 80.000000% complete.
[Wed Jan 11 01:33:11 2006] Factoring M100,000,007 to 2^68 is 100.000000% complete.
[Wed Jan 11 04:43:55 2006] Factoring M100,000,007 to 2^69 is 20.000000% complete.
[Wed Jan 11 07:54:29 2006] Factoring M100,000,007 to 2^69 is 40.000000% complete.
[Wed Jan 11 11:17:18 2006] Factoring M100,000,007 to 2^69 is 60.000000% complete.
[Wed Jan 11 14:43:18 2006] Factoring M100,000,007 to 2^69 is 80.000000% complete.
[Wed Jan 11 18:05:11 2006] Factoring M100,000,007 to 2^69 is 100.000000% complete.
[Thu Jan 12 00:43:11 2006] Factoring M100,000,007 to 2^70 is 20.000000% complete.
[Thu Jan 12 07:25:35 2006] Factoring M100,000,007 to 2^70 is 40.000000% complete.
[Thu Jan 12 14:27:48 2006] Factoring M100,000,007 to 2^70 is 60.000000% complete.
[Thu Jan 12 21:29:11 2006] Factoring M100,000,007 to 2^70 is 80.000000% complete.
[Fri Jan 13 04:11:48 2006] Factoring M100,000,007 to 2^70 is 100.000000% complete.
[Fri Jan 13 16:11:35 2006] Factoring M100,000,007 to 2^71 is 20.000000% complete.
[Sat Jan 14 04:15:57 2006] Factoring M100,000,007 to 2^71 is 40.000000% complete.
[Sat Jan 14 16:15:05 2006] Factoring M100,000,007 to 2^71 is 60.000000% complete.
[Sun Jan 15 04:16:03 2006] Factoring M100,000,007 to 2^71 is 80.000000% complete.
[Sun Jan 15 16:22:26 2006] Factoring M100,000,007 to 2^71 is 100.000000% complete.
[Mon Jan 16 16:34:52 2006] Factoring M100,000,007 to 2^72 is 20.000000% complete.
[Tue Jan 17 17:26:21 2006] Factoring M100,000,007 to 2^72 is 40.000000% complete.
[Wed Jan 18 17:56:48 2006] Factoring M100,000,007 to 2^72 is 60.000000% complete.
[Thu Jan 19 18:13:10 2006] Factoring M100,000,007 to 2^72 is 80.000000% complete.
[Fri Jan 20 18:55:50 2006] Factoring M100,000,007 to 2^72 is 100.000000% complete.
[Fri Jan 20 18:55:53 2006] UID: StarQwest/StarQwest1, M100,000,007 no factor to 2^72, Wc1: BFC9997D
[Sat Jan 21 05:15:51 2006] UID: StarQwest/StarQwest1, M100,000,007 stage 1 is 20.000000% complete.
[Sat Jan 21 14:57:56 2006] UID: StarQwest/StarQwest1, M100,000,007 stage 1 is 40.000000% complete.
[Sun Jan 22 01:10:29 2006] UID: StarQwest/StarQwest1, M100,000,007 stage 1 is 60.000000% complete.
[Sun Jan 22 18:23:29 2006] UID: StarQwest/StarQwest1, M100,000,007 stage 1 is 80.000000% complete.
[Mon Jan 23 04:30:29 2006] UID: StarQwest/StarQwest1, M100,000,007 stage 1 is 100.000000% complete.
[Tue Jan 24 11:23:09 2006] UID: StarQwest/StarQwest1, M100,000,007 stage 2 is 20.000000% complete.
[Wed Jan 25 12:05:02 2006] UID: StarQwest/StarQwest1, M100,000,007 stage 2 is 40.000000% complete.
[Thu Jan 26 12:18:13 2006] UID: StarQwest/StarQwest1, M100,000,007 stage 2 is 60.000000% complete.
[Fri Jan 27 12:00:42 2006] UID: StarQwest/StarQwest1, M100,000,007 stage 2 is 80.000000% complete.
[Sat Jan 28 11:40:16 2006] UID: StarQwest/StarQwest1, M100,000,007 stage 2 is 100.000000% complete.
[Sat Jan 28 11:49:45 2006] No factor found. UID: StarQwest/StarQwest1, M100,000,007 completed P1, B1=435,000, B2=12,288,750, Wc1: 1BDE3DBF
[Tue Jan 31 19:58:51 2006] Iteration 1,000,000 / 100,000,007
[Sat Feb 04 04:12:01 2006] Iteration 2,000,000 / 100,000,007
[Tue Feb 07 10:14:51 2006] Iteration 3,000,000 / 100,000,007
[Fri Feb 10 14:21:27 2006] Iteration 4,000,000 / 100,000,007
[Tue Feb 14 01:05:11 2006] Iteration 5,000,000 / 100,000,007
[Fri Feb 17 02:34:32 2006] Iteration 6,000,000 / 100,000,007
[Mon Feb 20 09:50:18 2006] Iteration 7,000,000 / 100,000,007
[Fri Feb 24 11:28:20 2006] Iteration 8,000,000 / 100,000,007
[Mon Feb 27 14:37:36 2006] Iteration 9,000,000 / 100,000,007
[Thu Mar 02 18:25:18 2006] Iteration 10,000,000 / 100,000,007
[Sun Mar 05 20:19:35 2006] Iteration 11,000,000 / 100,000,007
[Wed Mar 08 23:51:52 2006] Iteration 12,000,000 / 100,000,007
[Sun Mar 12 02:53:59 2006] Iteration 13,000,000 / 100,000,007
[Wed Mar 15 04:19:37 2006] Iteration 14,000,000 / 100,000,007
[Sat Mar 18 08:45:34 2006] Iteration 15,000,000 / 100,000,007
[Tue Mar 21 11:52:10 2006] Iteration 16,000,000 / 100,000,007
[Fri Mar 24 18:00:36 2006] Iteration 17,000,000 / 100,000,007
[Mon Mar 27 23:37:59 2006] Iteration 18,000,000 / 100,000,007
[Fri Mar 31 02:00:09 2006] Iteration 19,000,000 / 100,000,007
[Mon Apr 03 04:50:02 2006] Iteration 20,000,000 / 100,000,007
[Thu Apr 06 07:43:25 2006] Iteration 21,000,000 / 100,000,007
[Sun Apr 09 10:30:14 2006] Iteration 22,000,000 / 100,000,007
[Wed Apr 12 13:39:16 2006] Iteration 23,000,000 / 100,000,007
[Sat Apr 15 17:42:24 2006] Iteration 24,000,000 / 100,000,007
[Tue Apr 18 20:48:23 2006] Iteration 25,000,000 / 100,000,007
[Sat Apr 22 01:20:59 2006] Iteration 26,000,000 / 100,000,007
[Tue Apr 25 04:12:16 2006] Iteration 27,000,000 / 100,000,007
[Fri Apr 28 08:15:02 2006] Iteration 28,000,000 / 100,000,007
[Mon May 01 11:58:14 2006] Iteration 29,000,000 / 100,000,007
[Thu May 04 19:01:44 2006] Iteration 30,000,000 / 100,000,007
[Sun May 07 23:39:21 2006] Iteration 31,000,000 / 100,000,007
[Thu May 11 07:05:38 2006] Iteration 32,000,000 / 100,000,007
[Sun May 14 14:40:41 2006] Iteration 33,000,000 / 100,000,007
[Wed May 17 17:59:07 2006] Iteration 34,000,000 / 100,000,007
[Sat May 20 21:41:16 2006] Iteration 35,000,000 / 100,000,007
[Tue May 23 23:35:57 2006] Iteration 36,000,000 / 100,000,007
[Sat May 27 02:40:28 2006] Iteration 37,000,000 / 100,000,007
[Tue May 30 04:27:25 2006] Iteration 38,000,000 / 100,000,007
[Fri Jun 02 08:54:04 2006] Iteration 39,000,000 / 100,000,007
[Mon Jun 05 10:49:38 2006] Iteration 40,000,000 / 100,000,007
[Thu Jun 08 12:27:27 2006] Iteration 41,000,000 / 100,000,007
[Sun Jun 11 17:27:52 2006] Iteration 42,000,000 / 100,000,007
[Wed Jun 14 20:07:31 2006] Iteration 43,000,000 / 100,000,007
[Sun Jun 18 05:12:11 2006] Iteration 44,000,000 / 100,000,007
[Wed Jun 21 07:13:26 2006] Iteration 45,000,000 / 100,000,007
[Sat Jun 24 14:49:52 2006] Iteration 46,000,000 / 100,000,007
[Tue Jun 27 17:46:45 2006] Iteration 47,000,000 / 100,000,007
[Fri Jun 30 22:37:18 2006] Iteration 48,000,000 / 100,000,007
[Tue Jul 04 01:37:30 2006] Iteration 49,000,000 / 100,000,007
[Fri Jul 07 06:06:20 2006] Iteration 50,000,000 / 100,000,007
[Mon Jul 10 11:07:28 2006] Iteration 51,000,000 / 100,000,007
[Fri Jul 14 01:55:11 2006] Iteration 52,000,000 / 100,000,007
[Mon Jul 17 08:39:02 2006] Iteration 53,000,000 / 100,000,007
[Thu Jul 20 22:30:29 2006] Iteration 54,000,000 / 100,000,007
[Mon Jul 24 01:40:51 2006] Iteration 55,000,000 / 100,000,007
[Thu Jul 27 14:07:19 2006] Iteration 56,000,000 / 100,000,007
[Mon Jul 31 01:22:00 2006] Iteration 57,000,000 / 100,000,007
[Thu Aug 03 03:26:44 2006] Iteration 58,000,000 / 100,000,007
[Sun Aug 06 10:10:34 2006] Iteration 59,000,000 / 100,000,007
[Wed Aug 09 23:29:13 2006] Iteration 60,000,000 / 100,000,007
[Sun Aug 13 12:09:16 2006] Iteration 61,000,000 / 100,000,007
[Wed Aug 16 20:06:49 2006] Iteration 62,000,000 / 100,000,007
[Sun Aug 20 16:10:39 2006] Iteration 63,000,000 / 100,000,007
[Thu Aug 24 01:50:17 2006] Iteration 64,000,000 / 100,000,007
[Sun Aug 27 03:38:45 2006] Iteration 65,000,000 / 100,000,007
[Wed Aug 30 08:15:20 2006] Iteration 66,000,000 / 100,000,007
[Sat Sep 02 18:42:49 2006] Iteration 67,000,000 / 100,000,007
[Tue Sep 05 20:59:17 2006] Iteration 68,000,000 / 100,000,007
[Sat Sep 09 01:40:18 2006] Iteration 69,000,000 / 100,000,007
[Tue Sep 12 04:48:48 2006] Iteration 70,000,000 / 100,000,007
[Fri Sep 15 12:57:53 2006] Iteration 71,000,000 / 100,000,007
[Mon Sep 18 17:36:23 2006] Iteration 72,000,000 / 100,000,007
[Thu Sep 21 22:35:47 2006] Iteration 73,000,000 / 100,000,007
[Mon Sep 25 03:09:06 2006] Iteration 74,000,000 / 100,000,007
[Thu Sep 28 05:15:36 2006] Iteration 75,000,000 / 100,000,007
[Sun Oct 01 08:02:22 2006] Iteration 76,000,000 / 100,000,007
[Wed Oct 04 08:28:45 2006] Iteration 77,000,000 / 100,000,007
[Sat Oct 07 07:59:46 2006] Iteration 78,000,000 / 100,000,007
[Tue Oct 10 12:31:10 2006] Iteration 79,000,000 / 100,000,007
[Sat Oct 14 00:37:40 2006] Iteration 80,000,000 / 100,000,007
[Wed Oct 18 02:59:02 2006] Iteration 81,000,000 / 100,000,007
[Sat Oct 21 05:52:18 2006] Iteration 82,000,000 / 100,000,007
[Tue Oct 24 04:52:21 2006] Iteration 83,000,000 / 100,000,007
[Fri Oct 27 17:37:47 2006] Iteration 84,000,000 / 100,000,007
[Mon Oct 30 16:02:14 2006] Iteration 85,000,000 / 100,000,007
[Fri Nov 03 08:31:47 2006] Iteration 86,000,000 / 100,000,007
[Tue Nov 07 09:36:55 2006] Iteration 87,000,000 / 100,000,007
[Fri Nov 10 09:03:03 2006] Iteration 88,000,000 / 100,000,007
[Mon Nov 13 07:55:54 2006] Iteration 89,000,000 / 100,000,007
[Thu Nov 16 06:48:49 2006] Iteration 90,000,000 / 100,000,007
[Mon Nov 20 04:18:26 2006] Iteration 91,000,000 / 100,000,007
[Thu Nov 23 04:42:03 2006] Iteration 92,000,000 / 100,000,007
[Sun Nov 26 03:00:48 2006] Iteration 93,000,000 / 100,000,007
[Wed Nov 29 08:41:57 2006] Iteration 94,000,000 / 100,000,007
[Sat Dec 02 21:29:43 2006] Iteration 95,000,000 / 100,000,007
[Tue Dec 05 21:20:05 2006] Iteration 96,000,000 / 100,000,007
[Fri Dec 08 20:06:03 2006] Iteration 97,000,000 / 100,000,007
[Mon Dec 11 18:22:15 2006] Iteration 98,000,000 / 100,000,007
[Thu Dec 14 23:27:17 2006] Iteration 99,000,000 / 100,000,007
[Mon Dec 18 08:56:44 2006] Iteration 100,000,000 / 100,000,007
[Mon Dec 18 08:56:48 2006] UID: StarQwest/StarQwest1, M100,000,007 is not prime. Res64: F9042256B193FA__. Wc1: B3A6D2F6,86479267,00000000
Here are some statistics regarding the time spent on this test:
Trial factoring: 010 days, 09 hours, 00 minutes, 44 seconds P1 factoring: 007 days, 16 hours, 53 minutes, 52 seconds LL testing: 323 days, 21 hours, 07 minutes, 03 seconds Total: 341 days, 23 hours, 01 minutes, 39 seconds
At this rate, I have averaged 0.279832210 seconds per iteration, which is approximately 89.696608% of the maximum possible speed on my computer (0.251 seconds per iteration). The entire test took 0.936234029 years!
Finally, the number of P90 CPU years awarded for this exponent was 79.4164! Since 1 P90 CPU year equals 1,040,792,322,419,537 floating point operations (calculations), this entire test required 8.265598 x 10^{16} calculations to complete. Since it took 27,983,223 seconds to complete, I can conclude that the test ran at a speed of 2,953,769,099 floating point operations per second (2.953769 GFLOPs). I was also awarded 1.501 P90 CPU years of factoring work for trial factoring this exponent to 2^{72}. These 1.562229 x 10^{15} calculations were performed in 896,444 seconds, at a clock speed of 1,742,695,892 floating point operations per second (1.742696 GFLOPs). It ran slower here because I was testing three exponents at the same time, whereas once I started the LL test, I reduced it to two.
Complete the Last 1,005 Iterations of M100,000,007 Yourself!
Want to see what it's like to test an exponent in the 100M range? Here you can! Click on the download link below to download a compressed folder of Prime95 at iteration 99,999,002. You will then be able to finish the last 1,005 iterations of the test yourself and see for yourself what I saw as the test completed.
http://www.StarQwest.org/M100,000,007.rar (29,592,082 bytes)
After the download is complete, decompress the file using WinRAR. You will have a folder titled "M100,000,007." Open the folder and click on Prime95. It should start automatically at iteration 99,999,002. It will finish in about five minutes on a typical Pentium 4 computer.
NOTE: You will not receive any PrimeNet or GIMPS credit for this. It is impossible to "trick" the server into giving you 79.4164 CPU years. This Prime95 is not connected to PrimeNet, and even if you manually connect it, you will get "Error 11: Exponent Already Tested" or "Error 3: Exponent Not Assigned to This Computer."
M332,192,831
After the successful testing of M100,000,007, Team StarQwest must move on towards an even greater challenge. M100,000,007 was a great leap for the Great Internet Mersenne Prime Search. Now, I must take another such leap. My next project will be M332,192,831 the first mersenne number to contain more than 100 million digits. This number, 2^{332,192,831}1, is truly gigantic, containing, interestingly enough, 100,000,007 decimal digits. This number has already been trial factored to 2^{74} by the 100 MillionDigit Prefactor Project with no factor found (http://ohmdpp.5gigs.com/index.cgi?action=main). I extended the trial factoring to 2^{77} and performed P1 factoring. No factor was found, so I began the LucasLehmer test, which will take several years to complete.
On January 25^{th}, 2007 at 8:56 P.M. EST, Team StarQwest began testing the mersenne number 2^{332,192,831}1 for primality. First, the number was trial factored to 2^{77} and no factor was found. On April 28^{th}, 2007 at 8:12 P.M. EDT, trial factoring concluded and P1 factoring began with parameters B1=4,880,000 and B2=4,880,000. Since B1=B2, only stage 1 was performed. P1 factoring concluded on September 25^{th}, 2007 at 12:16 P.M. EDT, and I began the LucasLehmer test. Unfortunately, the odds of a number turning out prime decrease as the number increases in size. The odds of this number being prime before I trial factored to 2^{77} were 1 in 2,625,843. Once it was determined that no factor exists below 2^{77}, those odds became slightly better at 1 in 2,522,191. After P1 factoring did not find a factor, the odds became 1 in 2,424,269. However, you never know until you run the test, and a 100 milliondigit prime number would truly be something to see.
P1 Factoring Anomaly
Trial factoring of M332,192,831 to 2^{77} performed flawlessly. When P1 factoring began, it too performed flawlessly up until precisely 20.950553% into stage 1. At this point, it was as if Prime95 hit a major speed bump. I had the "iterations between screen outputs" set to 1, and it was taking ~0.946 seconds per output, which was to be expected for a number of this size. Then, the program suddenly appeared to freeze, and 69 seconds later reported another output. The program then began the slow cycle of ~35 seconds per output. Each output showed a huge increase in the percentage complete compared to before the transition, and each output varied wildly in this, indicating instability. However, on average, the percentage increased by a factor 19.4 and the time increased by a factor of 36.9, leading to a slow down in the overall test. After the slow down, the program was running at ~52.6% of its original speed. A screenshot of this transition is shown below.
After this transition, I set the "iterations between screen outputs" to 10,000. It then gave a more stable output, displaying consistently every 3.4 hours at a speed of ~53.8% of its original speed, just slightly faster than with the output set to 1. A screenshot of Prime95 running after this transition is shown below:
Since B1=B2, Prime95 will not perform stage 2. After examination, the only possible cause of this slow down would be the P1 factoring hitting B1=1,000,000. This is the first time I have done P1 factoring with B1 greater than 1,000,000, and the percentage that the transition occured is around (although not exactly) this point.
So far, the LucasLehmer test has performed flawlessly. Here is a screenshot of the first milestone: passing through iteration 1,000,000:
As you can see from this screenshot, I am getting an average per iteration time of 0.6446 seconds, meaning that I should complete one million iterations every 7.5 days from here on out. Note that I am using v25.5 of Prime 95 (which is currently a Beta version) so that I can use two cores at the same time on this test.
Also, there will be dozens of interim residues recorded throughout this test. Here are all known residues:
UID: StarQwest/StarQwest1, M332,192,831 interim Wd1 residue 900EFEA5B18295FE at iteration 1,000,000
In addition, I have a detailed log of my work on this test. Here it is:
[Thu Jan 25 20:56:16 2007] Begin trial factoring to 2^77 of M332,192,831.
[Sat Jan 27 03:11:41 2007] Factoring M332,192,831 to 2^75 is 10.000000% complete.
[Sun Jan 28 09:15:56 2007] Factoring M332,192,831 to 2^75 is 20.000000% complete.
[Mon Jan 29 15:44:36 2007] Factoring M332,192,831 to 2^75 is 30.000000% complete.
[Tue Jan 30 23:09:42 2007] Factoring M332,192,831 to 2^75 is 40.000000% complete.
[Thu Feb 01 05:21:53 2007] Factoring M332,192,831 to 2^75 is 50.000000% complete.
[Fri Feb 02 17:31:43 2007] Factoring M332,192,831 to 2^75 is 60.000000% complete.
[Sun Feb 04 21:03:24 2007] Factoring M332,192,831 to 2^75 is 70.000000% complete.
[Tue Feb 06 17:45:09 2007] Factoring M332,192,831 to 2^75 is 80.000000% complete.
[Thu Feb 08 00:47:25 2007] Factoring M332,192,831 to 2^75 is 90.000000% complete.
[Fri Feb 09 07:47:20 2007] Factoring M332,192,831 to 2^75 is 100.000000% complete.
[Sun Feb 11 22:05:25 2007] Factoring M332,192,831 to 2^76 is 10.000000% complete.
[Wed Feb 14 14:56:21 2007] Factoring M332,192,831 to 2^76 is 20.000000% complete.
[Sat Feb 17 07:39:41 2007] Factoring M332,192,831 to 2^76 is 30.000000% complete.
[Mon Feb 19 23:10:45 2007] Factoring M332,192,831 to 2^76 is 40.000000% complete.
[Thu Feb 22 22:39:36 2007] Factoring M332,192,831 to 2^76 is 50.000000% complete.
[Sun Feb 25 16:42:32 2007] Factoring M332,192,831 to 2^76 is 60.000000% complete.
[Wed Feb 28 08:18:24 2007] Factoring M332,192,831 to 2^76 is 70.000000% complete.
[Fri Mar 02 20:43:41 2007] Factoring M332,192,831 to 2^76 is 80.000000% complete.
[Mon Mar 05 08:59:06 2007] Factoring M332,192,831 to 2^76 is 90.000000% complete.
[Wed Mar 07 22:34:47 2007] Factoring M332,192,831 to 2^76 is 100.000000% complete.
[Tue Mar 13 00:27:22 2007] Factoring M332,192,831 to 2^77 is 10.000000% complete.
[Sun Mar 18 09:31:26 2007] Factoring M332,192,831 to 2^77 is 20.000000% complete.
[Fri Mar 23 19:05:54 2007] Factoring M332,192,831 to 2^77 is 30.000000% complete.
[Wed Mar 28 21:05:34 2007] Factoring M332,192,831 to 2^77 is 40.000000% complete.
[Tue Apr 03 01:23:17 2007] Factoring M332,192,831 to 2^77 is 50.000000% complete.
[Sun Apr 08 08:58:18 2007] Factoring M332,192,831 to 2^77 is 60.000000% complete.
[Fri Apr 13 11:02:42 2007] Factoring M332,192,831 to 2^77 is 70.000000% complete.
[Wed Apr 18 16:39:48 2007] Factoring M332,192,831 to 2^77 is 80.000000% complete.
[Mon Apr 23 18:08:17 2007] Factoring M332,192,831 to 2^77 is 90.000000% complete.
[Sat Apr 28 20:12:04 2007] Factoring M332,192,831 to 2^77 is 100.000000% complete.
[Sat Apr 28 20:12:07 2007] UID: StarQwest/StarQwest1, M332,192,831 no factor to 2^77, Wc1: 7454A29F
[Mon May 07 20:35:19 2007] UID: StarQwest/StarQwest1, M332,192,831 stage 1 is 10.000000% complete.
[Mon May 21 22:40:45 2007] UID: StarQwest/StarQwest1, M332,192,831 stage 1 is 20.000000% complete.
[Fri Jun 08 01:18:38 2007] UID: StarQwest/StarQwest1, M332,192,831 stage 1 is 30.000000% complete.
[Sun Jun 24 02:47:29 2007] UID: StarQwest/StarQwest1, M332,192,831 stage 1 is 40.000000% complete.
[Tue Jul 10 08:16:30 2007] UID: StarQwest/StarQwest1, M332,192,831 stage 1 is 50.000000% complete.
[Thu Jul 26 06:30:16 2007] UID: StarQwest/StarQwest1, M332,192,831 stage 1 is 60.000000% complete.
[Sat Aug 11 04:51:53 2007] UID: StarQwest/StarQwest1, M332,192,831 stage 1 is 70.000000% complete.
[Sun Aug 26 15:41:45 2007] UID: StarQwest/StarQwest1, M332,192,831 stage 1 is 80.000000% complete.
[Mon Sep 10 09:18:39 2007] UID: StarQwest/StarQwest1, M332,192,831 stage 1 is 90.000000% complete.
[Tue Sep 25 11:35:20 2007] UID: StarQwest/StarQwest1, M332,192,831 stage 1 is 100.000000% complete.
[Tue Sep 25 12:16:11 2007] No factor found. UID: StarQwest/StarQwest1, M332,192,831 completed P1, B1=4,880,000, B2=4,880,000, Wc1: 9149C2DA
[Fri Oct 05 10:04:31 2007] Iteration 1,000,000 / 332,192,831
Here are some statistics regarding the time spent on this test:
Trial factoring: 0 years, 092 days, 23 hours, 15 minutes, 51 seconds P1 factoring: 0 years, 149 days, 16 hours, 04 minutes, 04 seconds LL testing: 0 years, 9 days, 21 hours,48 minutes, 20 seconds Total: 0 years, 252 days, 13 hours, 08 minutes, 15 seconds
I was awarded a total of 21.682 P90 CPU years of factoring work for trial factoring this number to 2^{77} and P1 factoring it with B1=B2=4,880,000. These 2.256646 x 10^{16} calculations were performed in 20,963,995 seconds, at a clock speed of 1,076,438,872 floating point operations per second (1.076439 GFLOPs).
