M2426119 Mersenne number exponent details

is 2 ^2426119 - 1

has 730335 decimal digits

takes 0.164 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	24.5680	67.6471%	1986400	69524000	0.5550	7.1728%	25.1230	69.9677%	2.3206%
PrimeNet	2⁵⁹	0.0317	62.7119%	10000	180000	0.0019	2.5236%	0.0335	63.6529%	0.9410%
GPU72	2⁶³	0.6578	65.0794%	10000	140000	0.0017	1.2777%	0.6595	65.5255%	0.4462%
Difference	+5	+23.9101	+2.5677%	+1976400	+69384000	+0.5533	+5.8951%	+24.4635	+4.4421%	+4.4421%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2426119	1038436116575155058470769	25	79.781	214011785195852936 2³ × 26751473149481617	2020-09-04	8	26751473149481617	80,569	142,769,640	266,653,929

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-08T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.233%
2010-11-10T11:26:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.204%
2010-11-17T11:34:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.262%
2010-12-18T05:59:00	markr	tiny	95000	1923750		-		-	-	0.019	-	-	2.363%
2014-04-23T19:05:00	mikr	MSI	1986400	69524000		-		-	-	0.555	-	-	7.173%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23T16:29:14	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-14T00:04:00	Sturle Sunde	gimba.ifi	2⁶⁰	2⁶¹		-	-	0.063	-	-
2012-06-05T07:42:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.127	-	-
2013-01-23T08:28:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.405	-	-
2015-02-27T20:40:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.809	-	-
2015-02-27T20:40:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.540	-	-
2015-10-23T09:34:51	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.080	-	-
2017-07-05T06:34:30	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.160	-	-
2019-04-22T13:11:33	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.32	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	6.865 GHz-days
Estimated T-Level:	3.850

Digits	B1	Curves	Complete	FacMiss
20	11000	77 / 100	0.770	46.122%
25	50000	77 / 280	0.275	75.920%

New Calculation Method

Total ECM effort:	6.865 GHz-days
Estimated T-Level:	3.850

Digits	B1	Complete	FacMiss
20	11000	2.484	8.342%
25	50000	0.224	79.892%
30	250000	0.014	98.627%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		75	6.686
50000	5000000	1038436116575155058470769	2	0.178

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-20T12:25:00	Stun	Core2	50000	5000000						3	0.267
2010-03-01T04:37:00	James Classen	towerofart	50000	5000000						3	0.267
2012-03-21T03:22:00	S36049	Wolle5	50000	5000000						3	0.267
2014-03-04T23:21:00	Syntony	Hadfield	50000	5000000						3	0.267
2015-07-03T02:58:00	guru	w6	50000	5000000						3	0.267
2016-02-20T13:10:15	Bruce	Desk6	50000	5000000						3	0.267
2016-06-08T22:08:28	Bruce	Desk6	50000	5000000						3	0.267
2016-10-08T09:48:44	Bruce	Desk6	50000	5000000						3	0.267
2017-04-17T12:43:45	Bruce	Desk6	50000	5000000						3	0.267
2017-11-18T10:22:24	Bruce	Desk6	50000	5000000						3	0.267
2018-04-24T12:06:36	Bruce	Desk6	50000	5000000						3	0.267
2019-04-01T23:28:18	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.267
2020-04-20T18:56:14	mnd9	l2lounge	50000	5000000						3	0.267
2020-04-28T15:34:21	nordi	sweet16	50000	5000000						3	0.267
2020-05-08T11:56:06	EricP	Cannonfodder	50000	5000000						3	0.267
2020-05-22T11:17:57	volki	home	50000	5000000						3	0.267
2020-06-10T09:44:10	mnd9	25836b	50000	5000000						3	0.267
2020-06-26T11:23:30	mat10243x	K2	50000	5000000						3	0.267
2020-07-04T10:49:37	LaurV	3tits	50000	5000000						3	0.267
2020-07-10T11:47:23	GAN	PG-MS	50000	5000000						3	0.267
2020-07-16T05:28:09	Ahmed Azhad	c5.large.az	50000	5000000						3	0.267
2020-07-22T10:54:01	GAN	LMS-04	50000	5000000						3	0.267
2020-07-29T07:08:53	-Anonymous-	aws-nano	50000	5000000						3	0.267
2020-08-05T13:38:13	GAN	LMS-04	50000	5000000						3	0.267
2020-08-14T04:20:26	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.267
2020-09-04T18:37:58	GAN	KL-SCH04	50000	5000000	1038436116575155058470769	79.781	2	2		2	0.178

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-15T00:00:00	ANONYMOUS	v4_computers	E893C6029C6D50F4	0.164
1999-05-23T00:00:00	ANONYMOUS	v4_computers	E893C6029C6D50F4	0.164
2018-05-21T02:23:32	kkmrkkblmbrbk	old	E893C6029C6D50F4	0.164

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-09-06T12:49:44

benthomas

Work2

1038436116575155058470769

EF3079BD61D85CD7

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 = 1986400, B2 = 69524000 (P-1 stage 2)

B1 = 1986400 (P-1 stage 1)

B1 = 95000, B2 = 1923750 (P-1 stage 2)

B1 = 95000 (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)

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TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

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2⁶⁴

2⁶³

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2¹⁰⁰

Last modified: 2020-09-06T12:49:44+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