M254281 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	116.8547	73.1343%	30000000	10170678207690	4,508.6664	23.4451%	4,625.5211	79.4330%	6.2987%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	70000	0.0001	14.2400%	0.0001	61.4080%	6.4080%
GPU72	2⁴⁴	0.0000	59.0909%	4500	110000	0.0001	10.1869%	0.0001	63.2583%	4.1673%
Difference	+23	+116.8546	+14.0434%	+29995500	+10170678097690	+4,508.6663	+13.2583%	+4,625.5210	+16.1748%	+16.1748%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
254281	70182427826695430932869823177	29	95.825	138001714297756086638148 2² × 3 × 19 × 409 × 13567 × 109079339960447	2020-01-13	13567	109079339960447	3.352e+10	48,352	90,309

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2000-12-07T00:00:00	ANONYMOUS	v4_computers	95000	3800000		-		-	-	0.002	-	-	2.198%
2001-06-17T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.005	-	-	2.719%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.557%
2002-08-10T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.239%
2003-03-07T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.007	-	-	3.049%
2003-11-08T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.014	-	-	3.976%
2011-02-07T22:22:00	Jocelyn Larouche	Manual testing	2000000	2000000		-		-	-	0.016	-	-	2.607%
2012-02-26T15:17:00	Jocelyn Larouche	Manual testing	2451376	2451376		-		-	-	0.020	-	-	2.803%
2013-10-13T23:21:00	David Campeau	i5-2500k	2570000	71960000		-		-	-	0.052	-	-	6.345%
2015-01-16T14:34:00	thelegendarymudkip	i5-4670k	10000000	250000000		-		-	-	0.188	-	-	8.557%
2016-05-13T23:04:30	mognuts	Manual testing	2843	71075		-		-	-	5.33767e-5	-	-	0.141%
2021-08-30T19:32:37	Oliver Kruse	Ollaptop	30000000	3630000000	24	-		-	-	1.840	-	-	12.855%
2022-04-24T15:52:55	Oliver Kruse	Threadripper-PC	30000000	10170678207690		-		-	-	4,509	-	-	23.445%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-24T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.009	-	-
2000-12-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.019	-	-
2001-02-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.038	-	-
2002-03-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.076	-	-
2004-02-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.151	-	-
2008-12-31T22:28:00	Sturle Sunde	gobi.ifi	2⁵⁸	2⁵⁹		-	-	0.151	-	-
2009-01-24T08:50:00	Sturle Sunde	ginjtje.ifi	2⁵⁹	2⁶⁰		-	-	0.302	-	-
2013-07-21T12:55:00	Sid & Andy	Buzz	2⁶⁰	2⁶¹		-	-	0.604	-	-
2015-08-25T13:23:00	NR	Manual testing	2⁶¹	2⁶²		-	-	1.208	-	-
2016-01-30T13:38:40	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	3.861	-	-
2016-01-30T13:38:40	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	7.721	-	-
2018-03-15T10:11:08	Gordon Spence	Manual testing	2⁶⁴	2⁶⁵		-	-	14.69	-	-
2020-01-01T19:12:56	Gordon Spence	Manual testing	2⁶⁵	2⁶⁶		-	-	29.39	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	23.586 GHz-days
Estimated T-Level:	29.859

Digits	B1	Curves	Complete	FacMiss
20	11000	900 / 100	9.000	0.012%
25	50000	900 / 280	3.214	3.995%
30	250000	622 / 640	0.972	37.809%
35	1000000	37 / 1580	0.023	97.685%

New Calculation Method

Total ECM effort:	23.586 GHz-days
Estimated T-Level:	29.859

Digits	B1	Complete	FacMiss
20	11000	63.003	0.000%
25	50000	8.916	0.013%
30	250000	0.975	37.716%
35	1000000	0.086	91.785%
40	3000000	0.006	99.369%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		278	1.663
250000	25000000		585	17.50
1000000	100000000	70182427826695430932869823177	37	4.427

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-08T19:42:00	George Woltman	D_P4Debug	50000	5000000						1	0.006
2007-08-17T10:00:00	ANONYMOUS	Bayes	50000	5000000						1	0.006
2007-08-29T02:38:00	Team_Bundu	bundu1	50000	5000000						1	0.006
2007-09-10T09:51:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-10-09T08:57:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-12-26T01:21:00	Steve Scott	Abit	50000	5000000						1	0.006
2007-12-26T03:12:00	Steve Scott	Abit	50000	5000000						1	0.006
2007-12-26T04:31:00	Steve Scott	Asus-1	50000	5000000						1	0.006
2007-12-26T04:53:00	Steve Scott	805D	50000	5000000						1	0.006
2007-12-26T04:58:00	Steve Scott	805D	50000	5000000						1	0.006
2007-12-26T05:03:00	Steve Scott	805D	50000	5000000						1	0.006
2008-01-06T11:07:00	Steve Scott	Asus-1	50000	5000000						1	0.006
2008-03-07T05:49:00	Sturle Sunde	minister	50000	5000000						3	0.018
2008-08-31T01:14:00	Sturle Sunde	v22	50000	5000000						3	0.018
2008-09-22T04:04:00	Sturle Sunde	v17	50000	5000000						3	0.018
2008-10-21T21:22:00	Sturle Sunde	v23	50000	5000000						3	0.018
2008-11-22T05:38:00	Sturle Sunde	v23	50000	5000000						3	0.018
2008-12-12T17:41:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-01-19T18:16:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-02-28T07:55:00	Carsten Kossendey	durandal	50000	5000000						1	0.006
2009-03-01T03:33:00	linded	kctz74z	50000	5000000						3	0.018
2009-03-11T16:03:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-03-29T18:15:00	Sturle Sunde	v22	50000	5000000						3	0.018
2009-04-07T10:34:00	Carsten Kossendey	Manual testing	50000	5000000						1	0.006
2009-04-14T20:18:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-04-19T17:14:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-04-22T19:39:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-04-26T04:43:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-04-29T18:58:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-03T20:56:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-05-08T00:25:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-11T13:52:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-14T23:50:00	ClknGo Software	cngws2	50000	5000000						3	0.018
2009-05-18T21:11:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-23T09:43:00	ClknGo Software	cngws2	50000	5000000						3	0.018
2009-05-27T15:14:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-05-31T10:27:00	linded	23G4692-Lib1	50000	5000000						3	0.018
2009-06-04T00:40:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-06-08T01:59:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-06-11T23:42:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-06-17T00:38:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-06-24T16:17:00	ClknGo Software	cngws2	50000	5000000						3	0.018
2009-07-05T04:45:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-07-17T21:49:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-07-31T12:28:00	ClknGo Software	cngws2	50000	5000000						3	0.018
2009-08-14T00:43:00	linded	23G4692-Lib1	50000	5000000						3	0.018
2009-08-21T21:05:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-08-27T15:58:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-08-30T19:14:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-02T23:33:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-06T16:31:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-10T02:26:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-13T01:30:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-16T05:11:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-19T13:35:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-22T21:51:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-25T22:12:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-29T23:12:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-04T02:58:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-10T17:24:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-14T17:22:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-18T02:43:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-22T01:49:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-10-24T15:07:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-10-27T18:39:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-10-29T19:10:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-11-01T06:17:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-04T06:48:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-07T01:43:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-10T14:53:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-13T03:59:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-18T16:51:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-11-20T19:35:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-24T15:29:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-27T01:24:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-30T17:55:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-03T06:29:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-06T18:43:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-12-09T23:53:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-12-12T20:41:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-20T18:22:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-12-27T17:18:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-03T20:07:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-06T05:46:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-07T21:11:00	ANONYMOUS	v23	50000	5000000						3	0.018
2010-01-12T06:09:00	ANONYMOUS	v23	50000	5000000						3	0.018
2010-01-15T02:29:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-19T00:32:00	ANONYMOUS	v23	50000	5000000						3	0.018
2010-01-22T22:19:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-25T22:10:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-28T20:04:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-02-01T00:38:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-02-04T03:48:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-02-07T00:43:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-02-10T06:57:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-02-14T02:04:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-02-18T02:55:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-02-22T04:27:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-03-03T18:26:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-03-09T23:56:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-03-15T16:02:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-04-09T06:12:00	James Hintz	NEW_OMFG	250000	25000000						11	0.329
2010-04-12T22:25:00	James Hintz	NEW_OMFG	50000	5000000						3	0.018
2010-05-25T00:08:00	ANONYMOUS	v21	250000	25000000						3	0.090
2010-06-04T21:55:00	Beat Bucheli	I7	250000	25000000						3	0.090
2010-06-18T15:50:00	Sturle Sunde	v21	250000	25000000						3	0.090
2010-07-19T05:51:00	Sturle Sunde	v21	250000	25000000						3	0.090
2010-09-08T15:23:00	Sturle Sunde	v21	250000	25000000						3	0.090
2010-09-23T15:26:00	Sturle Sunde	v21	250000	25000000						3	0.090
2010-10-10T03:27:00	Sturle Sunde	v21	250000	25000000						3	0.090
2010-10-29T01:31:00	Sturle Sunde	v23	250000	25000000						3	0.090
2010-11-20T02:46:00	Sturle Sunde	v21	250000	25000000						3	0.090
2010-12-11T06:32:00	ANONYMOUS	v23	250000	25000000						3	0.090
2011-01-03T19:57:00	Sturle Sunde	v21	250000	25000000						3	0.090
2011-01-24T00:18:00	Sturle Sunde	v21	250000	25000000						3	0.090
2011-02-11T22:56:00	Sturle Sunde	v21	250000	25000000						3	0.090
2011-03-11T20:40:00	Sturle Sunde	v21	250000	25000000						3	0.090
2011-04-12T16:27:00	Sturle Sunde	v23	250000	25000000						3	0.090
2011-05-09T17:56:00	Sturle Sunde	v23	250000	25000000						3	0.090
2011-05-26T05:35:00	Sturle Sunde	v23	250000	25000000						3	0.090
2011-06-11T23:34:00	Sturle Sunde	v23	250000	25000000						3	0.090
2011-08-27T00:29:00	Sturle Sunde	v21	250000	25000000						3	0.090
2011-09-22T15:34:00	Sturle Sunde	001E0B816F24	250000	25000000						3	0.090
2011-10-22T15:50:00	David Bessell	T413	250000	25000000						3	0.090
2011-11-21T10:14:00	David Bessell	T413	250000	25000000						3	0.090
2012-01-13T06:22:00	Sturle Sunde	v23	250000	25000000						3	0.090
2012-02-16T03:10:00	Sturle Sunde	v21	250000	25000000						3	0.090
2012-03-29T20:16:00	David Bessell	T413	250000	25000000						3	0.090
2012-05-09T14:30:00	Sturle Sunde	v21	250000	25000000						3	0.090
2012-09-17T04:52:00	David Bessell	T413	250000	25000000						3	0.090
2013-01-20T23:24:00	WileECoyote	otto4	250000	25000000						3	0.090
2013-06-30T08:05:00	Lackó	Iroda_Laci_uj	250000	25000000						3	0.090
2014-08-18T20:38:00	Sturle Sunde	v23	250000	25000000						3	0.090
2015-09-19T18:52:00	Roman O. Vorobiev	Tuman111	250000	25000000						3	0.090
2015-11-14T02:53:23	Bruce	Desk8	250000	25000000						3	0.090
2015-11-20T10:48:33	Bruce	Desk8	250000	25000000						3	0.090
2015-11-25T08:01:48	Bruce	Desk7	250000	25000000						3	0.090
2015-11-30T08:50:19	Bruce	Desk8	250000	25000000						3	0.090
2015-12-05T04:11:21	Bruce	Desk7	250000	25000000						3	0.090
2015-12-09T06:34:48	Bruce	Desk8	250000	25000000						3	0.090
2015-12-17T23:17:34	Bruce	Desk8	250000	25000000						3	0.090
2015-12-27T11:31:55	Bruce	Desk8	250000	25000000						3	0.090
2016-01-05T14:56:05	Bruce	Desk8	250000	25000000						3	0.090
2016-01-16T03:05:35	Bruce	Desk8	250000	25000000						3	0.090
2016-01-25T03:25:32	Bruce	Desk8	250000	25000000						3	0.090
2016-02-05T18:54:45	pfummel	work4	250000	25000000						3	0.090
2016-03-10T17:06:33	lettp	Home	250000	25000000						3	0.090
2016-03-17T14:48:28	lettp	Home	250000	25000000						3	0.090
2016-04-23T15:21:24	Rylann		250000	25000000						3	0.090
2016-06-06T19:33:28	thelegendarymudkip	i5-4670k	250000	25000000						3	0.090
2016-07-12T13:48:32	WileECoyote	S107B	250000	25000000						3	0.090
2016-07-21T03:05:59	WileECoyote	S107B	250000	25000000						3	0.090
2016-07-26T01:20:08	WileECoyote	S107B	250000	25000000						3	0.090
2016-07-31T04:26:01	WileECoyote	S107B	250000	25000000						3	0.090
2016-08-05T05:40:02	WileECoyote	S107B	250000	25000000						3	0.090
2016-08-10T07:32:58	WileECoyote	S107B	250000	25000000						3	0.090
2016-08-21T16:37:19	WileECoyote	S107B	250000	25000000						3	0.090
2016-08-26T17:14:13	WileECoyote	S107B	250000	25000000						3	0.090
2016-08-31T19:54:41	WileECoyote	S107B	250000	25000000						3	0.090
2016-09-05T22:05:16	WileECoyote	S107B	250000	25000000						3	0.090
2016-09-11T03:17:39	WileECoyote	S107B	250000	25000000						3	0.090
2016-09-17T11:49:51	WileECoyote	S107B	250000	25000000						3	0.090
2016-09-22T16:31:13	WileECoyote	S107B	250000	25000000						3	0.090
2016-09-27T18:01:32	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-02T18:27:17	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-07T19:16:45	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-14T02:46:03	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-19T04:19:23	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-25T04:46:34	WileECoyote	S107B	250000	25000000						3	0.090
2016-10-30T02:08:41	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-03T23:22:17	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-10T04:37:49	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-15T01:09:47	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-19T19:41:34	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-24T14:44:23	WileECoyote	S107B	250000	25000000						3	0.090
2016-11-29T11:42:13	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-04T10:48:50	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-09T04:47:49	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-15T00:11:46	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-19T20:13:50	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-24T08:20:46	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-28T02:47:03	WileECoyote	S107B	250000	25000000						3	0.090
2016-12-31T05:41:48	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-04T09:11:59	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-08T21:17:19	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-14T01:16:13	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-17T21:29:54	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-22T10:12:20	WileECoyote	S107B	250000	25000000						3	0.090
2017-01-26T21:43:22	WileECoyote	S107B	250000	25000000						3	0.090
2017-02-01T00:08:43	WileECoyote	S107B	250000	25000000						3	0.090
2017-02-14T07:20:01	WileECoyote	S107B	250000	25000000						3	0.090
2017-09-01T10:27:10	Anton Repko	Manual testing	250000	25000000						310	9.272
2020-01-13T21:12:07	nordi	nordiputer	1000000	100000000	70182427826695430932869823177	95.825	37	2	1717539600873684	37	4.427

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