M224863 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	132.1423	73.1343%	30000000	10070832992220	4,464.4073	23.2752%	4,596.5496	79.3874%	6.2530%
PrimeNet	2⁴⁰	0.0000	55.0000%	2400	60000	0.0000	13.4710%	0.0000	61.0619%	6.0619%
GPU72	2⁴⁴	0.0000	59.0909%	4000	100000	0.0001	9.6326%	0.0001	63.0315%	3.9406%
Difference	+23	+132.1423	+14.0434%	+29996000	+10070832892220	+4,464.4072	+13.6426%	+4,596.5495	+16.3559%	+16.3559%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
224863	40445490842783748989589013322535267617	38	124.927	89933628126423086478409105372016 2⁴ × 11 × 53 × 7433 × 735689 × 1763092838749271681	2015-11-19	735689	1763092838749271681	7.449e+11	781,539,876	1.460e+9

	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	-	-	2.669%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.523%
2002-08-03T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.195%
2003-02-24T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.007	-	-	2.996%
2003-10-23T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.014	-	-	3.912%
2011-02-11T22:33:00	Jocelyn Larouche	Manual testing	4000000	4000000		-		-	-	0.033	-	-	3.258%
2013-10-20T21:27:00	David Campeau	i5-2500k	4040000	145440000		-		-	-	0.096	-	-	7.302%
2021-06-12T03:02:05	Oliver Kruse	Ollaptop	30000000	3000000000		-		-	-	1.561	-	-	12.468%
2022-03-13T19:01:24	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-		-	-	4,464	-	-	23.275%

	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	-	-
2022-03-07T05:44:10	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	-	-
2022-03-07T05:44:10	LordJulius	Manual testing	2⁵⁷	2⁵⁸		-	-	0.085	-	-
2008-12-31T20:51:00	Sturle Sunde	danzi.ifi	2⁵⁸	2⁵⁹		-	-	0.171	-	-
2009-01-25T03:20:00	Sturle Sunde	gobi.ifi	2⁵⁹	2⁶⁰		-	-	0.342	-	-
2013-07-22T20:22:00	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.683	-	-
2015-07-05T20:07:00	snme2pm1	Manual testing	2⁶¹	2⁶²		-	-	1.366	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.839 GHz-days
Estimated T-Level:	27.625

Digits	B1	Curves	Complete	FacMiss
20	11000	612 / 100	6.120	0.213%
25	50000	612 / 280	2.186	11.196%
30	250000	336 / 640	0.525	59.131%

New Calculation Method

Total ECM effort:	11.839 GHz-days
Estimated T-Level:	27.625

Digits	B1	Complete	FacMiss
20	11000	36.903	0.000%
25	50000	4.882	0.758%
30	250000	0.490	61.263%
35	1000000	0.039	96.183%
40	3000000	0.003	99.746%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		276	1.645
250000	25000000		300	8.938
250000	25000000	40445490842783748989589013322535267617	1	0.030
250000	38057914		14	0.489
250000	38500000		21	0.738

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-15T09:17:00	George Woltman	D_P4Debug	50000	5000000						1	0.006
2007-08-25T01:13:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-09-03T09:59:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-09-18T22:45:00	Chad Davis	Bayes	50000	5000000						1	0.006
2007-10-22T17:28:00	James Heinrich	WHS	50000	5000000						1	0.006
2007-12-29T22:21:00	Steve Scott	805D	50000	5000000						1	0.006
2007-12-29T23:08:00	David Campeau		50000	5000000						1	0.006
2007-12-29T23:53:00	Steve Scott	805D	50000	5000000						1	0.006
2007-12-30T00:07:00	Steve Scott	Abit	50000	5000000						1	0.006
2008-01-09T16:48:00	Steve Scott	Asus-1	50000	5000000						3	0.018
2008-06-25T17:18:00	Sturle Sunde	v17	50000	5000000						3	0.018
2008-09-13T03:00:00	Sturle Sunde	v21	50000	5000000						3	0.018
2008-09-30T16:10:00	Sturle Sunde	v23	50000	5000000						3	0.018
2008-10-28T11:37:00	Sturle Sunde	v17	50000	5000000						3	0.018
2008-11-24T01:59:00	Sturle Sunde	v21	50000	5000000						3	0.018
2008-12-12T02:07:00	Sturle Sunde	v22	50000	5000000						3	0.018
2009-01-15T16:28:00	Sturle Sunde	v22	50000	5000000						3	0.018
2009-02-10T19:47:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-02-27T04:46:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-03-13T21:35:00	ANONYMOUS	v21	50000	5000000						3	0.018
2009-03-29T22:02:00	Sturle Sunde	v17	50000	5000000						3	0.018
2009-04-11T00:56:00	arnaud	TECH05	50000	5000000						3	0.018
2009-04-17T01:05:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-04-20T23:05:00	linded	kctz73a	50000	5000000						3	0.018
2009-04-23T16:14:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-04-26T16:43:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-04-29T18:38:00	linded	kctz73a	50000	5000000						3	0.018
2009-05-03T02:59:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-05-06T21:27:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-05-09T21:00:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-12T20:08:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-15T18:26:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-05-19T17:50:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-05-23T17:18:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-27T01:12:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-05-29T21:56:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-06-02T22:32:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-06-06T05:29:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-06-09T21:31:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-06-13T03:49:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-06-17T20:56:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-06-24T23:54:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-07-04T16:11:00	WileECoyote	otto4	50000	5000000						3	0.018
2009-07-16T06:45:00	linded	23G4692-Lib1	50000	5000000						3	0.018
2009-07-28T03:44:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-08-05T22:03:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-08-17T17:41:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-08-25T20:54:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-08-28T01:28:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-08-30T22:09:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-02T22:39:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-05T23:02:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-09T16:36:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-14T17:20:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-16T05:34:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-17T03:35:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-20T16:07:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-09-23T02:28:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-26T00:33:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-09-29T04:26:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-07T20:23:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-10-12T21:50:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-13T14:17:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-15T20:10:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-10-18T20:53:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-22T00:51:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-24T05:39:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-10-26T20:10:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-10-29T00:02:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-10-31T04:32:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-02T20:29:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-05T04:41:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-07T20:51:00	ClknGo Software	cngws2	50000	5000000						3	0.018
2009-11-12T20:37:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-16T15:00:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-16T16:40:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-19T18:46:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-11-22T21:41:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-25T21:58:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-11-28T03:42:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-01T03:09:00	ANONYMOUS	v23	50000	5000000						3	0.018
2009-12-03T16:01:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-06T04:54:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-10T09:32:00	Lackó	Iroda_Andras	50000	5000000						3	0.018
2009-12-12T01:24:00	Sturle Sunde	v21	50000	5000000						3	0.018
2009-12-15T02:19:00	Sturle Sunde	v23	50000	5000000						3	0.018
2009-12-18T00:37:00	ANONYMOUS	v21	50000	5000000						3	0.018
2009-12-23T08:03:00	ClknGo Software	cngws2	50000	5000000						3	0.018
2009-12-29T04:37:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-04T05:52:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-07T16:07:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-11T18:30:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-14T16:19:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-17T05:54:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-20T22:56:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-01-23T20:34:00	Sturle Sunde	v21	50000	5000000						3	0.018
2010-01-27T14:06:00	Dmitry B. Khachaturov	dix-dubna	50000	5000000						3	0.018
2010-01-29T04:16:00	Sturle Sunde	v23	50000	5000000						3	0.018
2010-02-01T03:37:00	Sturle Sunde	v23	250000	25000000						3	0.089
2010-02-16T04:39:00	Sturle Sunde	v23	250000	25000000						3	0.089
2010-02-16T06:58:00	Sturle Sunde	v23	250000	25000000						3	0.089
2010-03-28T00:23:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-04-18T23:05:00	Sturle Sunde	v23	250000	25000000						3	0.089
2010-05-03T15:25:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-05-16T14:33:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-05-28T00:22:00	Sturle Sunde	v23	250000	25000000						3	0.089
2010-06-06T20:47:00	David Bessell	T413	250000	25000000						3	0.089
2010-06-18T22:34:00	David Bessell	T413	250000	25000000						3	0.089
2010-07-14T16:54:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-08-19T07:48:00	Martti Järvi	slave	250000	25000000						3	0.089
2010-09-09T14:23:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-09-29T18:45:00	Gnorfe	_hytto	250000	25000000						3	0.089
2010-10-17T02:09:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-11-02T23:57:00	Sturle Sunde	v23	250000	25000000						3	0.089
2010-11-23T02:12:00	Sturle Sunde	v21	250000	25000000						3	0.089
2010-12-12T05:45:00	David Bessell	T413	250000	25000000						3	0.089
2010-12-31T14:59:00	ANONYMOUS	v21	250000	25000000						3	0.089
2011-01-19T19:30:00	Sturle Sunde	v23	250000	25000000						3	0.089
2011-02-03T20:41:00	Sturle Sunde	v21	250000	25000000						3	0.089
2011-02-25T04:52:00	Sturle Sunde	v21	250000	25000000						3	0.089
2011-03-29T03:03:00	young jin cho	stmpnwsm	250000	25000000						3	0.089
2011-04-20T23:36:00	Sturle Sunde	v21	250000	25000000						3	0.089
2011-05-15T12:39:00	young jin cho	stmpnwsm	250000	25000000						3	0.089
2011-06-10T02:55:00	Sturle Sunde	v23	250000	25000000						3	0.089
2011-07-26T02:09:00	Sturle Sunde	v23	250000	25000000						3	0.089
2011-08-19T05:27:00	Sturle Sunde	v21	250000	25000000						3	0.089
2011-09-13T02:46:00	David Bessell	T413	250000	25000000						3	0.089
2011-09-30T11:15:00	Sturle Sunde	v21	250000	25000000						3	0.089
2011-11-02T16:04:00	David Bessell	T413	250000	25000000						3	0.089
2011-12-03T14:34:00	David Bessell	T413	250000	25000000						3	0.089
2012-01-21T03:44:00	Sturle Sunde	v21	250000	25000000						3	0.089
2012-02-17T02:56:00	David Bessell	T413	250000	25000000						3	0.089
2012-03-25T06:59:00	Sturle Sunde	v21	250000	25000000						3	0.089
2012-04-29T14:58:00	Sturle Sunde	v23	250000	25000000						3	0.089
2012-06-10T17:42:00	Sturle Sunde	v21	250000	25000000						3	0.089
2012-10-24T15:43:00	David Bessell	T413	250000	25000000						3	0.089
2013-03-01T17:31:00	Sturle Sunde	v23	250000	25000000						3	0.089
2013-09-17T19:19:00	Sturle Sunde	v23	250000	25000000						3	0.089
2014-11-10T13:41:00	Chris Smith	starcraft2	250000	25000000						3	0.089
2015-09-21T22:39:00	ANONYMOUS	pc16	250000	25000000						3	0.089
2015-11-13T07:41:39	Bruce	Desk7	250000	25000000						3	0.089
2015-11-19T00:18:00	Bruce	Desk7	250000	25000000	40445490842783748989589013322535267617	124.927	1	2		1	0.030
2020-01-04T09:04:20	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2020-01-06T07:56:20	kracker	O0	250000	25000000						3	0.089
2020-01-08T12:09:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-10T15:14:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-13T19:44:25	astraeus	x7	250000	25000000						3	0.089
2020-01-15T03:43:13	kracker	O0	250000	25000000						3	0.089
2020-01-17T06:39:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-19T14:27:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-22T01:34:02	kracker	O0	250000	25000000						3	0.089
2020-01-24T07:03:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-26T17:34:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-29T07:31:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-01T01:39:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-04T02:09:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-07T06:12:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-10T15:15:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-14T05:50:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-18T02:26:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-21T05:31:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-25T03:31:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-28T05:45:18	kracker	O0	250000	25000000						3	0.089
2020-03-03T10:52:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-08T06:19:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-14T04:53:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-19T15:57:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-04-06T15:56:15	MarkS	desktop-i7	250000	25000000						3	0.089
2020-04-18T06:57:42	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-05-01T02:50:56	Greg	azure2	250000	25000000						3	0.089
2020-05-05T17:25:38	Greg Hogan	azure2	250000	25000000						3	0.089
2020-05-18T23:46:14	-Anonymous-	aws-nano	250000	25000000						3	0.089
2020-06-05T21:48:09	J.R. Allen	lapdell-kubuntu	250000	25000000						3	0.089
2020-06-20T09:28:47	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-06-29T09:22:21	nordi	sweet16	250000	25000000						3	0.089
2020-07-13T21:56:50	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.089
2020-07-24T15:41:57	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.089
2020-08-09T19:31:39	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.089
2020-09-22T14:48:18	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2020-10-27T03:23:12	nordi	sweet16	250000	25000000						7	0.209
2020-11-10T13:09:12	nordi	sweet16	250000	25000000						7	0.209
2021-01-08T17:10:32	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.209
2021-02-01T16:37:35	seatsea	dt	250000	38057914						7	0.245
2021-03-21T17:30:29	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-05-04T13:43:14	nordi	sweet16	250000	38500000						7	0.246
2021-07-08T00:54:39	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-07-14T09:04:31	seatsea	Manual testing	250000	38057914						7	0.245
2021-09-20T01:32:23	Ahmed Azhad	c5.4xlarge.azf	250000	38500000						7	0.246
2021-10-30T04:54:32	Dylan Delgado	colab	250000	38500000						7	0.246
2022-01-09T18:45:51	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2022-05-10T21:55:05	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2022-05-11T10:36:10	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209

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