M2370677 Mersenne number exponent details

is 2 ^2370677 - 1

has 713645 decimal digits

takes 0.160 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	25.1426	67.6471%	3000000	100000000	0.8115	7.8373%	25.9541	70.1826%	2.5356%
PrimeNet	2⁵⁹	0.0324	62.7119%	10000	170000	0.0018	2.4739%	0.0342	63.6343%	0.9225%
GPU72	2⁶³	0.6732	65.0794%	10000	140000	0.0017	1.2716%	0.6749	65.5234%	0.4441%
Difference	+5	+24.4693	+2.5677%	+2990000	+99860000	+0.8099	+6.5657%	+25.2792	+4.6592%	+4.6592%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2370677	127276587648083720641231	24	76.752	26843932692661995 3² × 5 × 17 × 35090108094983	2020-07-20	17	35090108094983	11,171	187,272	349,772

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%
2010-11-04T10:39:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.260%
2010-12-29T07:50:00	markr	tiny	100000	2025000		-		-	-	0.020	-	-	2.408%
2014-09-10T00:51:00	Jocelyn Larouche	Manual testing	127074	127074		-		-	-	0.012	-	-	0.936%
2015-09-28T05:44:09	mikr	MSI	3000000	100000000		-		-	-	0.812	-	-	7.837%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-01T00:00:00	Stephen Wood	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23T16:29:13	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-13T22:55:00	Sturle Sunde	gigi.ifi	2⁶⁰	2⁶¹		-	-	0.065	-	-
2012-05-31T11:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.130	-	-
2013-12-04T21:14:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.414	-	-
2015-03-09T12:35:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.828	-	-
2015-03-09T12:35:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.576	-	-
2015-10-30T09:42:39	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.152	-	-
2017-06-16T21:40:02	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.304	-	-
2019-04-08T13:40:34	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.61	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	6.220 GHz-days
Estimated T-Level:	3.500

Digits	B1	Curves	Complete	FacMiss
20	11000	70 / 100	0.700	49.484%
25	50000	70 / 280	0.250	77.845%

New Calculation Method

Total ECM effort:	6.220 GHz-days
Estimated T-Level:	3.500

Digits	B1	Complete	FacMiss
20	11000	2.258	10.455%
25	50000	0.204	81.540%
30	250000	0.013	98.751%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		69	6.131
50000	5000000	127276587648083720641231	1	0.089

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-10T09:46:00	alan145	Bear4	50000	5000000						3	0.267
2010-08-07T08:38:00	unconnected	X3220--xp	50000	5000000						3	0.267
2012-03-13T18:04:00	S36049	Wolle5	50000	5000000						3	0.267
2013-11-10T13:27:00	Kripke	Kripke	50000	5000000						3	0.267
2015-06-19T18:09:00	guru	w6	50000	5000000						3	0.267
2016-02-18T22:25:08	Jason U	Server7	50000	5000000						3	0.267
2016-05-16T07:32:42	Bruce	Desk6	50000	5000000						3	0.267
2016-09-07T10:16:20	Bruce	Desk6	50000	5000000						3	0.267
2017-03-12T06:42:54	Bruce	Desk6	50000	5000000						3	0.267
2017-10-20T07:19:03	Bruce	Desk6	50000	5000000						3	0.267
2018-03-11T17:47:29	Bruce	Desk6	50000	5000000						3	0.267
2018-09-20T02:46:50	Bruce	Desk6	50000	5000000						3	0.267
2020-03-21T18:27:46	daveward2005	MW	50000	5000000						3	0.267
2020-04-03T10:33:43	daveward2005	MW	50000	5000000						3	0.267
2020-04-16T18:18:22	EricP	Cannonfodder	50000	5000000						3	0.267
2020-04-25T21:35:21	mnd9	221Rb	50000	5000000						3	0.267
2020-05-04T04:36:54	gavin	windowssucks	50000	5000000						3	0.267
2020-05-16T16:17:41	mnd9	50871b	50000	5000000						3	0.267
2020-06-03T10:25:41	GAN	KL-10	50000	5000000						3	0.267
2020-07-01T17:27:37	daveward2005	Davy	50000	5000000						3	0.267
2020-07-02T15:09:07	mnd9	colab2	50000	5000000						3	0.267
2020-07-08T20:53:06	Brett Walker	brain	50000	5000000						3	0.267
2020-07-14T08:39:46	GAN	LMS-07	50000	5000000						3	0.267
2020-07-20T17:47:17	daveward2005	MW	50000	5000000	127276587648083720641231	76.752	1	2		1	0.089

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	Stephen Wood	v4_computers	E3A1B0F238B90659	0.160
2018-05-13T17:51:09	kkmrkkblmbrbk	old	E3A1B0F238B90659	0.160

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-07-20T18:12:21

ATH

ec2-PRPCF

127276587648083720641231

DF830D9339C66F6A

2020-07-21T22:46:10

pew

10980xe_1

127276587648083720641231

DF830D9339C66F6A

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 = 127074 (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)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-07-21T22:46:10+00:00

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