M2151203 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	27.7077	67.6471%	5000000	500000000	3.0478	10.1266%	30.7555	70.9233%	3.2762%
PrimeNet	2⁵⁸	0.0178	62.0690%	9000	170000	0.0017	2.7340%	0.0195	63.1060%	1.0370%
GPU72	2⁶²	0.2856	64.5161%	10000	160000	0.0017	1.5180%	0.2873	65.0548%	0.5386%
Difference	+6	+27.4221	+3.1309%	+4990000	+499840000	+3.0461	+8.6086%	+30.4682	+5.8685%	+5.8685%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2151203	18447794322610003500751489	26	83.932	4287785560593306048 2⁶ × 3² × 18607651 × 400054373	2021-02-15	18607651	400054373	1,617,833	3.7553	3.8811

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-03-07T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.225%
2010-11-03T21:25:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.254%
2010-12-30T22:20:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.353%
2011-01-13T23:58:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.513%
2011-01-22T14:59:00	James Heinrich	i7-920	135000	2666250		-		-	-	0.026	-	-	2.681%
2016-05-02T01:23:01	Jocelyn Larouche	Manual testing	270000	9956027	12	-		-	-	0.076	-	-	3.983%
2017-10-04T07:45:20	Jocelyn Larouche	low 4M	540000	5400000	6	-		-	-	0.077	-	-	3.829%
2017-11-17T22:14:09	Jocelyn Larouche	low 4M	648000	10951629	12	-		-	-	0.115	-	-	4.546%
2017-12-07T10:04:49	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.917%
2019-07-05T02:20:06	Dylan Delgado	laptop-i55200	5000000	500000000	12	-		-	-	3.048	-	-	10.127%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:07	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.054	-	-
2009-01-04T13:09:00	Sturle Sunde	rodolfo.ifi	2⁶⁰	2⁶¹		-	-	0.071	-	-
2009-01-07T07:37:00	Sturle Sunde	klughardt.ifi	2⁶¹	2⁶²		-	-	0.143	-	-
2013-09-08T17:50:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.456	-	-
2015-03-18T15:42:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.913	-	-
2015-03-18T15:42:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.737	-	-
2015-12-30T18:01:32	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.474	-	-
2016-10-29T15:24:12	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.947	-	-
2019-05-20T13:24:30	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.89	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.128 GHz-days
Estimated T-Level:	22.464

Digits	B1	Curves	Complete	FacMiss
20	11000	148 / 100	1.480	22.595%
25	50000	138 / 280	0.493	61.034%

New Calculation Method

Total ECM effort:	12.128 GHz-days
Estimated T-Level:	22.464

Digits	B1	Complete	FacMiss
20	11000	4.477	1.137%
25	50000	0.406	66.660%
30	250000	0.025	97.525%
35	1000000	0.001	99.885%

ECM Summary

B1	B2	factor	curves	GHz-days
11000	1100000		10	0.188
50000	5000000		136	11.61
50000	5000000	18447794322610003500751489	1	0.085
76620	24176890		1	0.246

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-20T12:50:00	alan145	Bear4	50000	5000000						3	0.256
2009-11-26T17:49:00	SubPrime	mysql0	50000	5000000						3	0.256
2011-08-14T09:22:00	S36049	Wolle5	50000	5000000						3	0.256
2013-04-25T14:32:00	Donna Noble	opt4820	50000	5000000						3	0.256
2013-08-24T12:52:00	Matthias Wurtinger	i5-750	11000	1100000						10	0.188
2015-07-13T10:37:00	guru	w1	50000	5000000						3	0.256
2016-02-19T18:35:04	Sintax	cloud2	50000	5000000						3	0.256
2016-05-16T21:11:29	lettp	Home	50000	5000000						3	0.256
2016-08-25T06:47:54	StarionHost	Bluto	50000	5000000						3	0.256
2017-01-24T00:47:33	Bruce	Desk6	50000	5000000						3	0.256
2017-08-22T09:02:14	Bruce	Desk6	50000	5000000						3	0.256
2018-01-07T15:44:18	Bruce	Desk6	50000	5000000						3	0.256
2018-06-20T21:12:29	Bruce	Desk6	50000	5000000						3	0.256
2019-06-15T23:10:34	zar	eng1	50000	5000000						3	0.256
2020-01-22T15:44:27	Keysarecool	HPLaptop	50000	5000000						3	0.256
2020-02-04T06:12:02	Palantsevich	OfficeB01	50000	5000000						3	0.256
2020-02-08T03:22:22	J.R. Allen	lapdell	50000	5000000						3	0.256
2020-02-15T12:35:13	mnd9	50869b	50000	5000000						3	0.256
2020-02-23T03:27:10	cappy95833	HomePC	50000	5000000						3	0.256
2020-02-29T21:41:59	mnd9	75211backdoorb	50000	5000000						3	0.256
2020-03-07T02:52:20	mnd9	75201b	50000	5000000						3	0.256
2020-03-14T11:18:03	mnd9	75211backdoorb	50000	5000000						3	0.256
2020-03-22T02:39:06	IanGlencross	glenx24	50000	5000000						3	0.256
2020-04-03T11:38:29	mat10243x	N1	50000	5000000						3	0.256
2020-04-17T12:34:11	Bommer	3900X	50000	5000000						3	0.256
2020-04-26T15:28:17	nordi	sweet16	50000	5000000						3	0.256
2020-05-04T20:24:08	EricP	Cannonfodder	50000	5000000						3	0.256
2020-05-16T17:54:04	Keysarecool	HPLaptop	50000	5000000						3	0.256
2020-06-03T22:26:38	alpertron	laptop3	50000	5000000						3	0.256
2020-06-22T22:33:41	mnd9	25836b	50000	5000000						3	0.256
2020-07-01T22:00:30	GAN	LMS-04	50000	5000000						3	0.256
2020-07-09T08:39:21	GAN	OSK-03	50000	5000000						3	0.256
2020-07-14T14:12:50	GAN	LMS-16	50000	5000000						3	0.256
2020-07-21T06:28:15	mnd9	libproj	50000	5000000						3	0.256
2020-07-27T14:23:56	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.256
2020-08-03T12:40:36	GAN	LMS-16	50000	5000000						3	0.256
2020-08-11T08:09:35	GAN	OSB-02	50000	5000000						3	0.256
2020-08-27T18:29:50	-Anonymous-	aws	50000	5000000						7	0.598
2020-10-01T00:29:56	J.R. Allen	lapasus	50000	5000000						7	0.598
2020-10-28T02:19:59	Albrecht Heeffer	Ryzen5-factoring	50000	5000000						7	0.598
2020-11-09T21:39:01	Bruno Victal	Manual testing	76620	24176890						1	0.246
2020-12-19T04:46:35	RIHATEC	i7-3770K	50000	5000000						7	0.598
2021-02-15T09:12:16	mnd9	25836b	50000	5000000	18447794322610003500751489	83.932	1	2	5948850694579133	1	0.085

date	userid	compid	res64	spent (GHz-days)
2015-11-14T18:08:37	MadPoo	Manual testing	581A4438BC1343__	0.141

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 = 5000000, B2 = 500000000 (P-1 stage 2)

B1 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 2500000 (P-1 stage 1)

B1 = 648000, B2 = 10951629 (P-1 stage 2)

B1 = 540000, B2 = 5400000 (P-1 stage 2)

B1 = 270000, B2 = 9956027 (P-1 stage 2)

B1 = 648000 (P-1 stage 1)

B1 = 540000 (P-1 stage 1)

B1 = 135000, B2 = 2666250 (P-1 stage 2)

B1 = 270000 (P-1 stage 1)

B1 = 135000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (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

10⁸

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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