M2364361 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	2⁶⁸	25.2097	67.6471%	3000000	100000000	0.8115	7.8352%	26.0213	70.1820%	2.5349%
PrimeNet	2⁵⁹	0.0325	62.7119%	10000	170000	0.0018	2.4726%	0.0343	63.6339%	0.9220%
GPU72	2⁶³	0.6750	65.0794%	10000	140000	0.0017	1.2709%	0.6767	65.5232%	0.4438%
Difference	+5	+24.5347	+2.5677%	+2990000	+99860000	+0.8099	+6.5643%	+25.3446	+4.6588%	+4.6588%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2364361	20401513898463850699936841	26	84.077	4314382173124969220 2² × 5 × 11 × 109 × 4057 × 44347018427	2021-02-22	4057	44347018427	2,998,474	236.68	442.04

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-21T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.231%
2010-11-03T21:25:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.260%
2010-12-31T06:18:00	markr	tiny	100000	2025000		-		-	-	0.020	-	-	2.408%
2014-09-10T00:51:00	Jocelyn Larouche	Manual testing	127147	127147		-		-	-	0.012	-	-	0.936%
2015-09-06T01:04:00	mikr	MSI	3000000	100000000		-		-	-	0.812	-	-	7.835%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23T16:29:13	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-15T22:37:00	Sturle Sunde	gooch.ifi	2⁶⁰	2⁶¹		-	-	0.065	-	-
2012-05-30T16:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.130	-	-
2013-12-04T21:14:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.415	-	-
2015-03-09T12:35:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.830	-	-
2015-03-09T12:35:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.580	-	-
2015-10-29T11:36:27	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.161	-	-
2017-06-13T16:34:56	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.321	-	-
2019-04-15T13:43:03	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.64	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.771 GHz-days
Estimated T-Level:	21.964

Digits	B1	Curves	Complete	FacMiss
20	11000	110 / 100	1.100	33.103%
25	50000	110 / 280	0.393	67.465%

New Calculation Method

Total ECM effort:	9.771 GHz-days
Estimated T-Level:	21.964

Digits	B1	Complete	FacMiss
20	11000	4.231	1.454%
25	50000	0.391	67.607%
30	250000	0.025	97.561%
35	1000000	0.001	99.885%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		107	9.50
50000	5000000	20401513898463850699936841	3	0.266

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-09-09T17:07:00	Rob_Dee	twopc	50000	5000000						1	0.089
2009-09-13T18:22:00	Smurgs	Praca	50000	5000000						3	0.266
2010-10-22T18:12:00	Csaba Vágó	timigep	50000	5000000						3	0.266
2012-11-28T09:44:00	Donna Noble	CCI_PH2_955	50000	5000000						3	0.266
2014-03-22T08:43:00	Bruce	snowflake	50000	5000000						3	0.266
2015-08-01T03:45:00	guru	w6	50000	5000000						3	0.266
2016-02-27T11:45:46	Jason U	Server7	50000	5000000						3	0.266
2016-06-21T18:58:06	Bruce	Desk6	50000	5000000						3	0.266
2016-11-10T13:01:09	Bruce	Desk6	50000	5000000						3	0.266
2017-05-04T06:28:54	Bruce	Desk6	50000	5000000						3	0.266
2017-11-25T17:44:47	Bruce	Desk6	50000	5000000						3	0.266
2018-05-03T03:43:52	Bruce	Desk6	50000	5000000						3	0.266
2019-04-06T03:45:33	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.266
2020-03-22T18:23:31	kracker	O0	50000	5000000						3	0.266
2020-04-03T23:29:31	MarkS	desktop-i7	50000	5000000						3	0.266
2020-04-18T09:51:28	mnd9	libproj	50000	5000000						3	0.266
2020-04-26T20:26:27	nordi	sweet16	50000	5000000						3	0.266
2020-05-05T11:49:04	daveward2005	Davy	50000	5000000						3	0.266
2020-05-20T07:46:22	mnd9	75203b	50000	5000000						3	0.266
2020-06-05T01:28:08	mnd9	50871b	50000	5000000						3	0.266
2020-07-02T17:28:34	MarkS	desktop-i7	50000	5000000						3	0.266
2020-07-14T09:12:15	mat10243x	K2	50000	5000000						3	0.266
2020-07-14T17:27:34	GAN	LMS-08	50000	5000000						3	0.266
2020-07-21T09:18:42	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.266
2020-07-27T07:49:43	GAN	LMS-07	50000	5000000						3	0.266
2020-08-03T17:22:35	GAN	LMS-14	50000	5000000						3	0.266
2020-08-12T00:06:35	mnd9	75211frontb	50000	5000000						3	0.266
2020-08-23T20:36:39	mnd9	libproj	50000	5000000						7	0.622
2020-09-15T20:54:50	daveward2005	Dave2	50000	5000000						7	0.622
2020-10-16T14:59:43	lycorn	colab_A_1	50000	5000000						7	0.622
2020-11-17T09:41:15	RIHATEC	i7-3770K	50000	5000000						7	0.622
2021-02-22T13:08:41	Zenzoma	AM3700X_1	50000	5000000	20401513898463850699936841	84.077	3	2	6250882374381817	3	0.266

date	userid	compid	res64	spent (GHz-days)
1999-03-15T00:00:00	ANONYMOUS	v4_computers	F2A8F3961D4ABF76	0.160
2018-05-11T14:14:24	kkmrkkblmbrbk	old	F2A8F3961D4ABF76	0.160

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 3000000, B2 = 100000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 100000, B2 = 2025000 (P-1 stage 2)

B1 = 127147 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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