M1955957 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	30.4735	69.1176%	40000000	204923747490	881.2270	20.0539%	911.7005	75.3107%	6.1931%
Target	2⁶²	0.3141	66.1290%	8000	90000	0.0010	1.1539%	0.3151	66.5199%	0.3908%
Difference	+6	+30.1594	+2.9886%	+39992000	+204923657490	+881.2260	+18.9000%	+911.3855	+8.7909%	+5.8023%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1955957	32963819438024483373706903214018953663	38	124.632	8426519457744849036483650513283 3³ × 469879 × 558319 × 15582781 × 76343321909	2023-01-19	15582781	76343321909	8.569e+10	328.35	611.10

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-05-10T20:11:00	kurly	hex	1000000	30000000		-		-	-	0.203	-	-	5.698%
2018-01-19T13:04:09	Jocelyn Larouche	low 4M	1955957	30000000	12	-		-	-	0.274	-	-	6.052%
2018-02-12T15:08:33	Jocelyn Larouche	low 4M	1955957	60000000	12	-		-	-	0.403	-	-	6.837%
2018-03-03T12:04:31	Jocelyn Larouche	low 4M	1955957	120000000	12	-		-	-	0.660	-	-	7.629%
2018-05-11T11:44:18	Jocelyn Larouche	low 4M	1955957	195595700	12	-		-	-	0.984	-	-	8.191%
2018-11-26T12:54:00	Jocelyn Larouche	Manual testing	1955957	244494625	12	-		-	-	1.193	-	-	8.448%
2022-12-19T07:45:14	Jocelyn Larouche	Manual testing	1955957	854421750		-		-	-	3.807	-	-	9.899%
2023-01-11T01:53:47	Jocelyn Larouche	Manual testing	1955957	1464372000		-		-	-	6.421	-	-	10.526%
2023-01-19T20:04:50	RichD0	Linux-5b	40000000	204923747490			32963819438024483373706903214018953663	38	124.632	881.2	0.212	1,762	20.054%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2022-08-15T12:18:38	masser	Manual testing	1500000	52500000	2	7			-	-	0.394

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-21T00:00:00	gnickle	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.059	-	-
2010-01-14T14:20:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.079	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.157	-	-
2011-08-27T22:19:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.816	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.502	-	-
2015-04-21T22:18:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.004	-	-
2015-04-21T22:18:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.910	-	-
2015-09-07T08:32:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.821	-	-
2018-01-22T18:13:15	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.641	-	-
2019-05-13T08:32:10	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.28	-	-

ECM factoring results:

Total ECM effort:	19.709 GHz-days
Estimated T-Level:	24.660

Digits	B1	Complete	FacMiss
20	11000	9.917	0.005%
25	50000	0.932	39.376%
30	250000	0.060	94.165%
35	1000000	0.003	99.708%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	182	12.67
50000	6750000	21	1.668
50000	7500000	46	3.846
250000	235419030	1	1.527

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-16T19:58:00	Candide	CA7E13832	50000	5000000						3	0.209
2009-08-16T10:36:00	SubPrime	abd0	50000	5000000						3	0.209
2011-01-22T14:22:00	Eric Christenson	JMC_Old_Desktop	50000	5000000						3	0.209
2012-11-28T09:13:00	Donna Noble	Opt6128x4x4	50000	5000000						3	0.209
2014-01-07T00:01:00	Andy Incline	Office-PC	50000	5000000						3	0.209
2015-05-15T20:15:00	Sergiosi	Manual testing	50000	5000000						5	0.348
2016-02-26T18:07:59	arnaud	CHAMOT09	50000	5000000						3	0.209
2016-05-31T07:43:37	Bruce	Desk6	50000	5000000						3	0.209
2016-08-13T01:58:29	Bruce	test	50000	5000000						3	0.209
2017-02-01T12:00:56	Bruce	Desk6	50000	5000000						3	0.209
2017-07-16T12:24:16	Bruce	Desk6	50000	5000000						3	0.209
2017-12-06T07:49:17	Sebastian Hornbostel	V2	50000	5000000						3	0.209
2018-04-10T10:35:03	Bruce	Desk6	50000	5000000						3	0.209
2018-09-21T17:24:33	Bruce	Desk6	50000	5000000						3	0.209
2019-12-06T03:26:07	Nesowa	6700T	50000	5000000						3	0.209
2019-12-10T10:09:34	cappy95833	HomePC	50000	5000000						3	0.209
2019-12-14T16:36:38	mnd9	touchdown	50000	5000000						3	0.209
2019-12-19T18:54:12	mnd9	75211backdoorb	50000	5000000						3	0.209
2019-12-26T09:25:38	mnd9	touchdown	50000	5000000						3	0.209
2020-01-05T01:23:33	TheJudger	myECM	50000	5000000						3	0.209
2020-01-12T10:20:19	EricP	Cannonfodder	50000	5000000						3	0.209
2020-01-15T11:11:22	J.R. Allen	lapdell	50000	5000000						3	0.209
2020-01-19T21:29:07	mat10243x	B2	50000	5000000						3	0.209
2020-01-25T14:45:49	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-02-03T09:43:09	ANONYMOUS		50000	5000000						3	0.209
2020-02-18T17:19:53	Sergey Nosov	TS140-02	50000	5000000						3	0.209
2020-02-25T17:43:48	IanGlencross	glenx24	50000	5000000						3	0.209
2020-03-03T12:42:09	EricP	Cannonfodder	50000	5000000						3	0.209
2020-03-09T23:30:47	Nesowa	entropy_generator_2	50000	5000000						3	0.209
2020-03-17T18:04:59	mnd9	office2	50000	5000000						3	0.209
2020-03-28T10:55:54	nordi	sweet16	50000	5000000						3	0.209
2020-04-09T06:29:51	daveward2005	Davy	50000	5000000						3	0.209
2020-04-12T20:40:38	mnd9	libproj	50000	5000000						3	0.209
2020-04-22T05:48:50	nordi	sweet16	50000	5000000						3	0.209
2020-04-29T14:37:15	mnd9	fb	50000	5000000						3	0.209
2020-05-11T10:56:46	mnd9	office2	50000	5000000						3	0.209
2020-05-25T00:34:06	daveward2005	Davy	50000	5000000						3	0.209
2020-06-14T15:03:51	Leo Custodio	GCP-013	50000	5000000						3	0.209
2020-06-28T05:36:37	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2020-07-04T20:31:40	MarkS	desktop-i7	50000	5000000						3	0.209
2020-07-11T13:22:39	GAN	LMS-17	50000	5000000						3	0.209
2020-07-17T07:31:19	GAN	LMS-03	50000	5000000						3	0.209
2020-07-23T13:14:20	Ahmed Azhad	c5.4xlarge.azf	50000	5000000						3	0.209
2020-07-30T11:34:30	GAN	LMS-11	50000	5000000						3	0.209
2020-08-07T13:58:21	Sergey Nosov	TS140-02	50000	5000000						3	0.209
2020-08-15T09:06:59	lycorn	colab_ES	50000	5000000						3	0.209
2020-09-10T07:00:47	daveward2005	Davy	50000	5000000						7	0.487
2020-10-11T03:48:53	tottenhoff	4-of-4-Ryzen-5-3600	50000	5000000						7	0.487
2020-11-08T15:42:56	daveward2005	Dave2	50000	5000000						7	0.487
2020-12-17T11:55:53	LaurV	debilis	50000	5000000						7	0.487
2021-01-07T02:48:01	Cork	Manual testing	50000	5000000						7	0.487
2021-02-14T06:22:24	Zenzoma	AM3700X_1	50000	5000000						7	0.487
2021-03-18T04:00:01	lycorn	colab_D	50000	6750000						7	0.556
2021-05-02T20:50:22	nordi	sweet16	50000	6750000						7	0.556
2021-06-19T22:02:18	LaurV	butu	50000	6750000						7	0.556
2022-08-02T10:12:44	TJAOI	Manual testing	50000	7500000						46	3.846
2022-08-20T05:02:13	masser	Manual testing	250000	235419030						1	1.527

date	userid	compid	res64	spent (GHz-days)
1999-03-15T00:00:00	ANONYMOUS	v4_computers	B2E896C600FC182B	0.106
2015-07-03T04:32:00	MadPoo	Manual testing	B2E896C600FC182B	0.106

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 = 40000000, B2 = 204923747490 (P-1 stage 2)

B1 = 1955957, B2 = 1464372000 (P-1 stage 2)

B1 = 1955957, B2 = 854421750 (P-1 stage 2)

B1 = 40000000 (P-1 stage 1)

B1 = 1955957, B2 = 244494625 (P-1 stage 2)

B1 = 1955957, B2 = 195595700 (P-1 stage 2)

B1 = 1955957, B2 = 120000000 (P-1 stage 2)

B1 = 1955957, B2 = 60000000 (P-1 stage 2)

B1 = 1955957, B2 = 30000000 (P-1 stage 2)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1955957 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

10⁵

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10¹⁰

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10¹²

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