M268637 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	110.6099	71.6418%	2425000	67900000	0.0594	6.2867%	110.6693	73.4246%	1.7828%
PrimeNet	2⁴⁰	0.0000	52.5000%	2800	80000	0.0001	14.8172%	0.0001	59.5382%	7.0382%
GPU72	2⁴⁴	0.0000	56.8182%	5000	120000	0.0001	10.6039%	0.0001	61.3971%	4.5790%
Difference	+23	+110.6099	+14.8236%	+2420000	+67780000	+0.0593	-4.3172%	+110.6692	+12.0274%	+12.0274%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
268637	47521887712083183578987279	26	85.297	88450004489484292147 163 × 2467 × 572683 × 384084529	2015-11-12	572683	384084529	52,699,000	0.2127	0.3873

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-03-25T00:00:00	ANONYMOUS	v4_computers	100000	4000000		-		-	-	0.003	-	-	2.269%
2001-06-23T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.006	-	-	2.741%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.573%
2002-08-10T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.004	-	-	2.259%
2003-03-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.008	-	-	3.074%
2003-11-16T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.017	-	-	4.005%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	268637	268637		-		-	-	0.003	-	-	1.099%
2011-02-16T23:34:00	Jocelyn Larouche	Manual testing	2000000	2000000		-		-	-	0.020	-	-	2.626%
2012-02-26T15:18:00	Jocelyn Larouche	Manual testing	2282882	2282882		-		-	-	0.023	-	-	2.753%
2013-10-14T23:39:00	David Campeau	i5-2500k	2425000	67900000		-		-	-	0.059	-	-	6.287%

	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	-	-
2022-03-07T05:52:50	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.009	-	-
2001-02-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.036	-	-
2002-03-31T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.071	-	-
2022-03-07T05:52:50	LordJulius	Manual testing	2⁵⁷	2⁵⁸		-	-	0.071	-	-
2008-12-31T22:59:00	Sturle Sunde	rodolfo.ifi	2⁵⁸	2⁵⁹		-	-	0.143	-	-
2009-01-24T14:21:00	Sturle Sunde	gibsy.ifi	2⁵⁹	2⁶⁰		-	-	0.286	-	-
2013-07-06T22:20:00	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.572	-	-
2015-08-25T13:23:00	NR	Manual testing	2⁶¹	2⁶²		-	-	1.143	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.005 GHz-days
Estimated T-Level:	26.672

Digits	B1	Curves	Complete	FacMiss
20	11000	496 / 100	4.960	0.684%
25	50000	496 / 280	1.771	16.955%
30	250000	214 / 640	0.334	71.560%

New Calculation Method

Total ECM effort:	10.005 GHz-days
Estimated T-Level:	26.672

Digits	B1	Complete	FacMiss
20	11000	26.930	0.000%
25	50000	3.424	3.259%
30	250000	0.332	71.777%
35	1000000	0.026	97.461%
40	3000000	0.002	99.835%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		282	2.058
250000	25000000		191	6.970
250000	25000000	47521887712083183578987279	2	0.073
250000	38250000		7	0.301
250000	38500000		14	0.603

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-10T17:24:00	George Woltman	D_P4Debug	50000	5000000						1	0.007
2007-08-18T06:16:00	Chad Davis	Bayes	50000	5000000						1	0.007
2007-08-30T18:21:00	Team_Bundu	bundu1	50000	5000000						1	0.007
2007-09-14T20:49:00	Chad Davis	Bayes	50000	5000000						1	0.007
2007-10-25T04:41:00	ANONYMOUS	minister	50000	5000000						1	0.007
2008-01-04T17:23:00	Steve Scott	Abit	50000	5000000						1	0.007
2008-01-04T19:16:00	Steve Scott	Abit	50000	5000000						1	0.007
2008-01-04T19:35:00	Steve Scott		50000	5000000						1	0.007
2008-01-04T20:30:00	Steve Scott	Abit	50000	5000000						1	0.007
2008-01-04T20:44:00	Sturle Sunde	minister	50000	5000000						1	0.007
2008-01-05T03:47:00	James Heinrich	WHS	50000	5000000						1	0.007
2008-02-27T04:40:00	Team_Bundu	bundu3	50000	5000000						3	0.022
2008-08-31T01:18:00	Sturle Sunde	v17	50000	5000000						3	0.022
2008-09-22T23:56:00	Sturle Sunde	v22	50000	5000000						3	0.022
2008-10-25T07:03:00	Jayson King	atlas	50000	5000000						3	0.022
2008-11-26T03:08:00	Sturle Sunde	v23	50000	5000000						3	0.022
2008-12-18T03:17:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-01-29T10:18:00	Dalos Lee	dalosdesk	50000	5000000						3	0.022
2009-02-22T23:14:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-03-13T03:34:00	Sturle Sunde	v17	50000	5000000						3	0.022
2009-03-31T18:33:00	Ryan Schulz	T7400	50000	5000000						3	0.022
2009-04-14T17:42:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-04-19T05:16:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-22T20:18:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-04-26T15:17:00	linded	kctz73a	50000	5000000						3	0.022
2009-04-30T01:16:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-04T19:48:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-08T20:31:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-12T16:47:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-15T22:29:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-05-21T01:27:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-25T02:33:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-05-29T14:10:00	ANONYMOUS	v21	50000	5000000						3	0.022
2009-06-02T19:24:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-06-07T01:14:00	ANONYMOUS	v21	50000	5000000						3	0.022
2009-06-10T20:27:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-06-16T03:17:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-06-23T06:00:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-07-04T14:39:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-07-18T03:05:00	linded	23G4692-Lib1	50000	5000000						3	0.022
2009-08-01T00:44:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-08-14T17:52:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-08-25T21:43:00	linded	23G4692-Lib1	50000	5000000						3	0.022
2009-08-28T01:58:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-08-31T18:12:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-04T03:44:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-09-08T05:19:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-11T04:01:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-15T11:09:00	linded	23G4692-Lib1	50000	5000000						3	0.022
2009-09-18T03:19:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-21T22:03:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-09-25T01:14:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-09-29T01:11:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-03T03:37:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-10-09T21:49:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-14T16:34:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-18T03:37:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-22T13:44:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-10-24T21:56:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-10-28T00:24:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-10-30T05:20:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-05T05:05:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-08T16:40:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-11T15:43:00	smoky	powermac	50000	5000000						3	0.022
2009-11-15T02:53:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-19T17:12:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-23T06:24:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-11-26T15:31:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-29T21:53:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-11-30T16:41:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-03T00:05:00	ANONYMOUS	v23	50000	5000000						3	0.022
2009-12-06T02:41:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-09T23:08:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-13T01:17:00	Sturle Sunde	v21	50000	5000000						3	0.022
2009-12-17T01:21:00	Sturle Sunde	v23	50000	5000000						3	0.022
2009-12-21T15:45:00	ClknGo Software	cngws2	50000	5000000						3	0.022
2009-12-29T05:17:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-05T03:31:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-09T05:52:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-13T07:00:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-19T12:02:00	Dmitry B. Khachaturov	dix-dubna	50000	5000000						3	0.022
2010-01-25T18:30:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-01-27T15:45:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-27T17:56:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-01-31T05:20:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-03T19:47:00	ANONYMOUS	v23	50000	5000000						3	0.022
2010-02-06T17:46:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-10T03:49:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-14T02:06:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-02-17T22:35:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-02-22T15:09:00	BOM	C2Q-2667	50000	5000000						3	0.022
2010-03-04T05:59:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-03-10T23:07:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-10T11:48:00	James Hintz	NEW_OMFG	50000	5000000						4	0.029
2010-04-10T16:09:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-10T16:19:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-10T16:29:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-10T18:31:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-10T20:31:00	ANONYMOUS	v21	50000	5000000						3	0.022
2010-04-10T21:03:00	Sturle Sunde	v21	50000	5000000						3	0.022
2010-04-16T17:04:00	Sturle Sunde	v23	50000	5000000						3	0.022
2010-04-21T16:03:00	Sturle Sunde	v21	250000	25000000						3	0.109
2010-04-22T11:21:00	James Hintz	NEW_OMFG	250000	25000000						3	0.109
2010-05-23T04:43:00	Sturle Sunde	v21	250000	25000000						3	0.109
2010-06-04T03:23:00	Sturle Sunde	v23	250000	25000000						3	0.109
2010-07-21T21:23:00	Sturle Sunde	v21	250000	25000000						3	0.109
2010-08-21T14:52:00	David Bessell	T413	250000	25000000						3	0.109
2010-08-29T00:46:00	David Bessell	T413	250000	25000000						3	0.109
2010-09-20T17:38:00	LordJulius	Pentium_E2140	250000	25000000						3	0.109
2010-10-14T15:52:00	Pretorianie	8722	250000	25000000						3	0.109
2010-11-04T12:23:00	BOM	C2Q-2667	250000	25000000						3	0.109
2010-11-29T02:12:00	Sturle Sunde	v21	250000	25000000						3	0.109
2010-12-20T17:05:00	Sturle Sunde	v21	250000	25000000						3	0.109
2011-01-13T21:35:00	David Bessell	T413	250000	25000000						3	0.109
2011-02-02T01:54:00	Sturle Sunde	v21	250000	25000000						3	0.109
2011-03-15T11:42:00	Sturle Sunde	v21	250000	25000000						3	0.109
2011-04-03T18:09:00	Dmitry B. Khachaturov	dix-dubna	250000	25000000						3	0.109
2011-05-04T22:43:00	Sturle Sunde	v21	250000	25000000						3	0.109
2011-05-23T17:57:00	Sturle Sunde	v21	250000	25000000						3	0.109
2011-06-09T21:43:00	Sturle Sunde	001CC4F0E683	250000	25000000						3	0.109
2011-08-24T15:57:00	Sturle Sunde	v21	250000	25000000						3	0.109
2011-09-22T02:11:00	Sturle Sunde	v21	250000	25000000						3	0.109
2011-10-23T19:10:00	David Bessell	T413	250000	25000000						3	0.109
2011-11-26T04:58:00	Sturle Sunde	v23	250000	25000000						3	0.109
2012-01-22T04:54:00	Sturle Sunde	v21	250000	25000000						3	0.109
2012-02-23T16:53:00	David Bessell	T413	250000	25000000						3	0.109
2012-04-14T15:26:00	David Bessell	T413	250000	25000000						3	0.109
2012-05-25T03:01:00	Sturle Sunde	v23	250000	25000000						3	0.109
2012-10-15T19:00:00	David Bessell	T413	250000	25000000						3	0.109
2013-03-05T16:16:00	Sturle Sunde	v23	250000	25000000						3	0.109
2014-01-10T05:01:00	Sturle Sunde	v23	250000	25000000						3	0.109
2015-05-16T17:45:00	endless_mike	EM_Core_i5_4250U	250000	25000000						3	0.109
2015-11-12T04:40:16	Bruce	Desk7	250000	25000000	47521887712083183578987279	85.297	2	2		2	0.073
2020-05-20T14:49:08	-Anonymous-	aws-nano	250000	25000000						3	0.109
2020-06-06T13:58:11	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.109
2020-06-20T22:27:28	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.109
2020-06-29T12:36:41	nordi	sweet16	250000	25000000						3	0.109
2020-07-14T14:18:55	argusdusty	Argus-PC	250000	25000000						3	0.109
2020-07-24T22:45:44	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.109
2020-08-11T04:58:43	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.109
2020-09-18T09:12:23	TJAOI	Manual testing	250000	25000000						49	1.788
2021-06-20T06:38:19	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-07-31T03:50:02	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2021-09-03T05:49:08	happy5214	Focus	250000	38500000						7	0.301
2021-10-11T15:13:10	Eric	miniPCWindows	250000	38250000						7	0.301
2021-12-04T13:29:31	mnd9	f4	250000	25000000						7	0.255
2022-02-17T09:29:33	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2022-04-08T00:01:32	Dylan Delgado	colab	250000	38500000						7	0.301

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