M225697 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	131.6540	73.1343%	30000000	10070832992220	4,464.4073	23.2799%	4,596.0613	79.3886%	6.2543%
PrimeNet	2⁴⁰	0.0000	55.0000%	2400	60000	0.0000	13.4783%	0.0000	61.0652%	6.0652%
GPU72	2⁴⁴	0.0000	59.0909%	4000	100000	0.0001	9.6382%	0.0001	63.0338%	3.9429%
Difference	+23	+131.6540	+14.0434%	+29996000	+10070832892220	+4,464.4072	+13.6417%	+4,596.0612	+16.3548%	+16.3548%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
225697	1050601023085158656611911503	28	89.763	2327458989453024755783 7 × 13 × 29137 × 877800474021749	2011-02-12	29137	877800474021749	832,388,985	389,109	726,748

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-05-13T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.005	-	-	2.670%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.524%
2002-08-03T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.197%
2003-02-24T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.007	-	-	2.997%
2003-10-23T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.014	-	-	3.914%
2021-06-14T00:16:15	Oliver Kruse	Ollaptop	30000000	3000000000		-		-	-	1.561	-	-	12.472%
2022-03-15T05:07:37	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-		-	-	4,464	-	-	23.280%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-17T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.003	-	-
2000-04-19T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.011	-	-
2022-03-07T05:44:13	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.011	-	-
2001-02-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.043	-	-
2002-04-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.085	-	-
2022-03-07T05:44:13	LordJulius	Manual testing	2⁵⁷	2⁵⁸		-	-	0.085	-	-
2009-01-01T17:33:00	Sturle Sunde	danzi.ifi	2⁵⁸	2⁵⁹		-	-	0.170	-	-
2009-01-27T00:54:00	Sturle Sunde	gobi.ifi	2⁵⁹	2⁶⁰		-	-	0.340	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.329 GHz-days
Estimated T-Level:	27.734

Digits	B1	Curves	Complete	FacMiss
20	11000	630 / 100	6.300	0.178%
25	50000	630 / 280	2.250	10.498%
30	250000	350 / 640	0.547	57.851%

New Calculation Method

Total ECM effort:	12.329 GHz-days
Estimated T-Level:	27.734

Digits	B1	Complete	FacMiss
20	11000	43.033	0.000%
25	50000	5.985	0.252%
30	250000	0.615	54.074%
35	1000000	0.050	95.152%
40	3000000	0.003	99.671%

ECM Summary

B1	B2	factor	curves	GHz-days
		1050601023085158656611911503	1	0.00000e+0
50000	5000000		280	1.669
250000	25000000		301	8.969
250000	33000000		7	0.231
250000	36214190		7	0.240
250000	36250000		7	0.240
250000	38171061		7	0.245
250000	38284357		7	0.245
250000	38500000		14	0.492

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-02T03:24:00	George Woltman	D_P4Debug	50000	5000000						1	0.006
2007-08-15T09:44:00	Team_Bundu	bundu1	50000	5000000						1	0.006
2007-08-25T01:35:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-09-03T12:47:00	Team_Bundu	bundu1	50000	5000000						1	0.006
2007-09-19T05:22:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-10-23T04:55:00	ANONYMOUS	minister	50000	5000000						1	0.006
2007-12-30T09:04:00	Steve Scott	Epox	50000	5000000						1	0.006
2007-12-30T10:31:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-12-30T10:35:00	Steve Scott	Epox	50000	5000000						1	0.006
2007-12-30T10:43:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-12-30T11:07:00	Steve Scott	Asus-1	50000	5000000						1	0.006
2007-12-30T11:17:00	Steve Scott	Abit	50000	5000000						1	0.006
2008-01-01T16:56:00	Tha	Compaq	50000	5000000						1	0.006
2008-02-09T09:52:00	Steve Scott	Music-1	50000	5000000						3	0.018
2008-07-01T14:04:00	Sturle Sunde	v17	50000	5000000						3	0.018
2008-09-13T15:29:00	Sturle Sunde	v21	50000	5000000						3	0.018
2008-10-01T04:06:00	Sturle Sunde	v21	50000	5000000						3	0.018
2008-10-29T19:40:00	Sturle Sunde	v17	50000	5000000						3	0.018
2008-11-25T02:15:00	Sturle Sunde	v22	50000	5000000						3	0.018
2008-12-12T19:40:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-01-16T18:32:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-02-12T05:53:00	Sturle Sunde	v22	50000	5000000						3	0.018
2009-02-28T16:02:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-03-14T23:37:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-03-30T18:08:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-04-11T15:07:00	Sturle Sunde	jobbtest	50000	5000000						3	0.018
2009-04-17T19:38:00	linded	kctz74z	50000	5000000						3	0.018
2009-04-20T18:47:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-04-23T21:07:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-04-26T18:14:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-04-29T19:51:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-05-03T17:16:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-07T17:22:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-10T02:41:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-12T21:17:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-16T03:09:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-19T21:21:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-23T23:53:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-27T16:10:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-30T18:47:00	ClknGo Software	cngws2	50000	5000000						3	0.018
2009-06-03T05:15:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-06-06T22:44:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-06-10T02:17:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-06-14T04:37:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-06-18T17:40:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-06-26T13:52:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-07-06T15:17:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-07-17T03:04:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-07-29T17:55:00	ClknGo Software	cngws2	50000	5000000						3	0.018
2009-08-18T16:00:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-08-26T04:29:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-08-28T22:06:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-06T19:34:00	ANONYMOUS	v21	50000	5000000						3	0.018
2009-09-07T16:50:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-11T23:57:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-14T14:49:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-15T00:57:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-17T19:37:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-19T01:35:00	primesecret	primesecret	50000	5000000						3	0.018
2009-09-21T00:18:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-23T15:56:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-26T20:33:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-30T01:27:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-10-03T19:15:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-08T21:57:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-13T18:53:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-10-16T14:23:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-19T23:12:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-22T17:22:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-24T19:40:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-29T16:15:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-31T04:42:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-10-31T20:13:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-11-02T19:06:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-05T00:18:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-05T20:04:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-08T15:37:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-11T00:42:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-13T20:44:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-17T22:43:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-11-20T19:28:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-23T22:34:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-11-26T06:23:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-11-29T04:02:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-01T18:58:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-12-04T05:10:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-12-07T04:25:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-10T06:12:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-12T23:06:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-16T01:21:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-12-19T06:47:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-12-25T03:36:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-30T22:29:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-05T16:33:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-08T20:39:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-12T21:10:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-15T03:38:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-18T19:41:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-22T05:50:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-24T22:44:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-27T06:26:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-30T00:31:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-02-02T02:40:00	Sturle Sunde	v23	250000	25000000						3	0.089
2010-02-17T04:46:00	ANONYMOUS	v23	250000	25000000						3	0.089
2010-03-15T22:57:00	ANONYMOUS	v21	250000	25000000						3	0.089
2010-03-29T02:00:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-04-20T17:19:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-05-10T21:23:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-05-17T23:29:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-05-28T17:51:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-06-08T04:12:00	Sturle Sunde	v23	250000	25000000						3	0.089
2010-06-21T02:07:00	David Bessell	T413	250000	25000000						3	0.089
2010-07-19T20:55:00	Dmitry B. Khachaturov	dix-dubna	250000	25000000						3	0.089
2010-08-21T15:59:00	Sturle Sunde	v23	250000	25000000						3	0.089
2010-09-10T18:46:00	Sturle Sunde	v23	250000	25000000						3	0.089
2010-09-30T13:00:00	BOM	C2Q-2667	250000	25000000						3	0.089
2010-10-18T22:19:00	Sturle Sunde	v23	250000	25000000						3	0.089
2010-11-05T03:46:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-11-26T16:52:00	BOM	C2Q-2667	250000	25000000						3	0.089
2010-12-15T01:00:00	David Bessell	T413	250000	25000000						3	0.089
2011-01-04T08:07:00	David Bessell	T413	250000	25000000						3	0.089
2011-01-22T02:01:00	Sturle Sunde	v23	250000	25000000						3	0.089
2011-02-12T20:50:00	Dmitry B. Khachaturov	dix-dubna			1050601023085158656611911503	89.763		1		1	-
2019-12-06T13:18:13	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.089
2019-12-07T12:27:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-08T12:41:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-09T12:20:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-11T08:03:34	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2019-12-11T12:23:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-12T12:43:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-13T14:05:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-14T15:27:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-15T23:49:08	Ducho_YYZ	oracleJP	250000	25000000						3	0.089
2019-12-16T19:44:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-17T23:27:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-19T04:47:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-20T15:05:11	Ducho_YYZ	oracleKO	250000	25000000						3	0.089
2019-12-21T17:25:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-23T07:13:11	Ducho_YYZ	oracleSW2	250000	25000000						3	0.089
2019-12-26T06:23:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-26T17:50:14	Ducho_YYZ	Dutch	250000	25000000						3	0.089
2019-12-28T05:05:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-30T04:32:33	kracker	O0	250000	25000000						3	0.089
2020-01-01T02:12:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-03T05:05:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-05T05:39:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-07T10:39:56	kracker	O0	250000	25000000						3	0.089
2020-01-10T10:08:33	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-01-11T19:14:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-14T00:44:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-16T05:03:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-18T11:06:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-20T20:20:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-23T04:01:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-25T12:33:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-28T00:20:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-30T15:56:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-02T14:44:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-05T17:22:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-09T00:10:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-12T10:54:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-16T05:10:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-19T09:25:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-22T22:15:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-26T14:03:25	Bommer	3770K	250000	25000000						3	0.089
2020-02-29T21:50:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-05T18:14:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-11T07:36:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-17T02:40:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-22T18:58:56	Hans Loeblich	tomservo	250000	25000000						3	0.089
2020-04-12T06:12:44	Oliver Kruse	Melissa	250000	25000000						3	0.089
2020-04-29T01:59:32	Greg	azure2	250000	25000000						3	0.089
2020-05-03T04:39:57	Greg Hogan	azure3	250000	25000000						3	0.089
2020-05-09T03:51:04	Greg Hogan	azure	250000	25000000						3	0.089
2020-05-27T19:35:53	kracker	O0	250000	25000000						3	0.089
2020-06-14T11:55:14	nordi	sweet16	250000	25000000						3	0.089
2020-06-25T00:08:53	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.089
2020-07-04T00:17:09	nordi	sweet16	250000	25000000						3	0.089
2020-07-19T11:06:40	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.089
2020-07-28T20:05:43	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-09-11T21:29:57	LaurV	3tits	250000	25000000						7	0.209
2020-10-20T10:33:04	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2020-11-04T08:24:50	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2020-12-14T23:14:18	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2021-01-23T19:57:43	nordi	sweet16	250000	38171061						7	0.245
2021-03-07T01:18:20	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-04-26T03:42:02	nordi	sweet16	250000	38500000						7	0.246
2021-06-21T17:15:02	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2021-08-01T02:41:52	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2021-09-03T22:50:31	Stef42	AMD-DESKTOP	250000	38284357						7	0.245
2021-10-11T17:37:02	Dylan Delgado	colab	250000	38500000						7	0.246
2021-12-07T05:51:01	mnd9	f4	250000	25000000						7	0.209
2022-02-21T00:25:46	JackBlock	school10	250000	25000000						7	0.209
2022-04-09T20:09:14	MarkS	desktop-i7	250000	33000000						7	0.231
2022-05-27T11:40:40	Corey	tab	250000	25000000						7	0.209
2022-06-19T06:21:04	debrouxl	o9020	250000	36214190						7	0.240
2022-07-15T19:36:41	debrouxl	z400	250000	36250000						7	0.240

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront