M2378617 Mersenne number exponent details

is 2 ^2378617 - 1

has 716036 decimal digits

takes 0.161 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	25.0586	67.6471%	3000000	100000000	0.8115	7.8399%	25.8702	70.1835%	2.5364%
PrimeNet	2⁵⁹	0.0323	62.7119%	10000	170000	0.0018	2.4755%	0.0341	63.6349%	0.9231%
GPU72	2⁶³	0.6710	65.0794%	10000	140000	0.0017	1.2725%	0.6727	65.5237%	0.4444%
Difference	+5	+24.3876	+2.5677%	+2990000	+99860000	+0.8099	+6.5674%	+25.1975	+4.6598%	+4.6598%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2378617	7401462873805863914521	22	72.648	1555833258108780 2² × 3 × 5 × 7 × 89 × 41622077531	2020-07-16	89	41622077531	438.61	222.13	414.88

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	-	-	0.232%
2010-11-07T17:07:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.203%
2010-11-15T22:51:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.261%
2010-12-28T05:24:00	markr	tiny	100000	2050000		-		-	-	0.020	-	-	2.417%
2014-09-10T00:51:00	Jocelyn Larouche	Manual testing	126984	126984		-		-	-	0.012	-	-	0.936%
2015-10-11T20:07:44	mikr	MSI	3000000	100000000	12	-		-	-	0.812	-	-	7.840%

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	-	-
2009-01-14T23:22:00	Sturle Sunde	goober.ifi	2⁶⁰	2⁶¹		-	-	0.065	-	-
2012-05-31T20:05:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.129	-	-
2013-01-23T08:27:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.413	-	-
2015-03-09T12:35:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.825	-	-
2015-03-09T12:35:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.571	-	-
2015-10-31T16:44:16	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.142	-	-
2017-06-16T21:40:04	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.283	-	-
2019-03-25T14:11:03	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.57	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.956 GHz-days
Estimated T-Level:	3.350

Digits	B1	Curves	Complete	FacMiss
20	11000	67 / 100	0.670	50.999%
25	50000	67 / 280	0.239	78.685%

New Calculation Method

Total ECM effort:	5.956 GHz-days
Estimated T-Level:	3.350

Digits	B1	Complete	FacMiss
20	11000	2.161	11.518%
25	50000	0.195	82.256%
30	250000	0.012	98.804%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		66	5.868
50000	5000000	7401462873805863914521	1	0.089

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-28T17:22:00	Martti Järvi	SKYNET	50000	5000000						3	0.267
2010-02-11T05:32:00	James Hintz	ryan	50000	5000000						3	0.267
2012-01-25T14:36:00	S36049	Wolle5	50000	5000000						3	0.267
2013-11-19T16:16:00	Andy Incline	Office-PC	50000	5000000						3	0.267
2015-06-22T16:57:00	guru	w6	50000	5000000						3	0.267
2016-02-18T23:31:04	Bruce	Desk8	50000	5000000						3	0.267
2016-05-20T16:39:08	Bruce	Desk6	50000	5000000						3	0.267
2016-09-10T06:47:18	Bruce	Desk6	50000	5000000						3	0.267
2017-03-18T07:02:29	Bruce	Desk6	50000	5000000						3	0.267
2017-10-26T05:33:27	Bruce	Desk6	50000	5000000						3	0.267
2018-03-17T13:43:15	Bruce	Desk6	50000	5000000						3	0.267
2018-09-29T08:23:10	Bruce	Desk6	50000	5000000						3	0.267
2020-03-26T18:07:59	kracker	O0	50000	5000000						3	0.267
2020-04-07T16:07:33	MarkS	desktop-i7	50000	5000000						3	0.267
2020-04-20T22:29:02	mnd9	eileen	50000	5000000						3	0.267
2020-04-30T11:43:28	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.267
2020-05-08T19:38:35	mnd9	221Rb	50000	5000000						3	0.267
2020-05-30T10:33:13	mat10243x	K3	50000	5000000						3	0.267
2020-06-11T02:47:24	Oliver Kruse	Krusen-NAS	50000	5000000						3	0.267
2020-06-26T18:37:48	nordi	sweet16	50000	5000000						3	0.267
2020-07-06T22:21:55	LaurV	3tits	50000	5000000						3	0.267
2020-07-11T19:33:24	GAN	KL-SCH05	50000	5000000						3	0.267
2020-07-16T11:33:16	daveward2005	Dave2	50000	5000000	7401462873805863914521	72.648	1	2		1	0.089

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-26T00:00:00	ANONYMOUS	v4_computers	11E128C808ABF63C	0.161
2018-05-14T18:24:19	kkmrkkblmbrbk	old	11E128C808ABF63C	0.161

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-07-16T22:05:17

CrypticClue

Manual testing

7401462873805863914521

6B9A4A4C1D34AA5A

2020-07-16T23:49:52

oodaira

com2

7401462873805863914521

6B9A4A4C1D34AA5A

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 = 2050000 (P-1 stage 2)

B1 = 126984 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (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

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-07-16T23:49:52+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