M2421907 Mersenne number exponent details

is 2 ^2421907 - 1

has 729067 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	2⁷⁰	98.6622	68.5714%	2569240	69524000	0.6090	6.1855%	99.2712	70.5155%	1.9440%
PrimeNet	2⁵⁹	0.0317	62.7119%	10000	180000	0.0019	2.5228%	0.0336	63.6526%	0.9407%
GPU72	2⁶³	0.6590	65.0794%	10000	140000	0.0017	1.2772%	0.6607	65.5254%	0.4460%
Difference	+7	+98.0032	+3.4921%	+2559240	+69384000	+0.6073	+4.9083%	+98.6105	+4.9901%	+4.9901%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2421907	19793949409515701969449	23	74.067	4086438787599132 2² × 3 × 43 × 7919455014727	2021-01-07	43	7919455014727	2,199.3	42,265	78,940

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	-	-	0.151%
2010-11-12T13:40:00	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.509%
2011-01-23T08:29:00	Oscar Östlin		95000	1923750		-		-	-	0.019	-	-	1.851%
2014-04-13T00:31:00	mikr	MSI	2569240	69524000		-		-	-	0.609	-	-	6.186%

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	-	-
2009-01-14T20:47:00	Sturle Sunde	golan.ifi	2⁶⁰	2⁶¹		-	-	0.063	-	-
2012-06-04T21:42:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.127	-	-
2013-12-04T21:13:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.405	-	-
2015-02-27T20:40:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.811	-	-
2015-02-27T20:40:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.543	-	-
2015-10-23T09:34:50	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.085	-	-
2017-07-05T06:34:29	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.171	-	-
2019-04-29T13:20:24	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.34	-	-
2020-12-27T01:59:38	Anton Repko	Manual testing	2⁶⁸	2⁷⁰		-	-	74.05	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.270 GHz-days
Estimated T-Level:	21.857

Digits	B1	Curves	Complete	FacMiss
20	11000	104 / 100	1.040	35.161%
25	50000	104 / 280	0.371	68.929%

New Calculation Method

Total ECM effort:	9.270 GHz-days
Estimated T-Level:	21.857

Digits	B1	Complete	FacMiss
20	11000	3.355	3.492%
25	50000	0.303	73.845%
30	250000	0.019	98.150%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		103	9.180
50000	5000000	19793949409515701969449	1	0.089

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-03T23:40:00	Martti Järvi	Mardeni	50000	5000000						3	0.267
2010-02-26T17:31:00	James Classen	towerofart	50000	5000000						3	0.267
2012-03-14T14:22:00	S36049	Wolle5	50000	5000000						3	0.267
2013-12-16T21:49:00	Andy Incline	Office-PC	50000	5000000						3	0.267
2015-07-02T01:05:00	guru	w6	50000	5000000						3	0.267
2016-02-20T03:37:22	Sintax	cloud2	50000	5000000						3	0.267
2016-06-06T18:28:20	Bruce	Desk6	50000	5000000						3	0.267
2016-10-04T18:15:37	Bruce	Desk6	50000	5000000						3	0.267
2017-04-14T10:54:04	Bruce	Desk6	50000	5000000						3	0.267
2017-11-15T16:13:10	Sebastian Hornbostel	V2	50000	5000000						3	0.267
2018-04-20T09:58:05	Bruce	Desk6	50000	5000000						3	0.267
2019-03-21T23:05:55	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.267
2020-04-18T20:39:52	mnd9	fb	50000	5000000						3	0.267
2020-04-27T14:03:07	mnd9	25836b	50000	5000000						3	0.267
2020-05-06T15:38:33	mnd9	libproj	50000	5000000						3	0.267
2020-05-19T00:47:46	mnd9	25836b	50000	5000000						3	0.267
2020-06-06T11:40:29	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.267
2020-06-23T15:46:51	mnd9	office2	50000	5000000						3	0.267
2020-07-03T08:47:00	GAN	KL-SCH04	50000	5000000						3	0.267
2020-07-09T05:22:10	GAN	LMS-08	50000	5000000						3	0.267
2020-07-15T03:15:49	GAN	LMS-07	50000	5000000						3	0.267
2020-07-21T09:47:39	GAN	LMS-13	50000	5000000						3	0.267
2020-07-27T22:36:39	GAN	OSB-01	50000	5000000						3	0.267
2020-08-06T23:11:14	Nesowa	entropy_generator_2	50000	5000000						3	0.267
2020-08-12T03:59:00	GAN	LMS-02	50000	5000000						3	0.267
2020-08-31T14:59:16	rextherunt	ice	50000	5000000						7	0.624
2020-10-03T05:32:50	mnd9	27016b	50000	5000000						7	0.624
2020-10-29T12:10:53	mnd9	75204	50000	5000000						7	0.624
2020-12-04T16:37:33	Zenzoma	AMD3970X	50000	5000000						7	0.624
2021-01-07T04:57:47	Chang Chia-Tche	ex-ctcpc	50000	5000000	19793949409515701969449	74.067	1	2	5991997950682457	1	0.089

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-26T00:00:00	ANONYMOUS	v4_computers	4C431E51C088743D	0.164
2018-05-20T06:41:53	kkmrkkblmbrbk	old	4C431E51C088743D	0.164

PRP results:

date

userid

compid

cofactors

res64

PRP

2021-01-07T05:55:16

mrh

19793949409515701969449

508AA0E754636EC3

2021-01-07T20:27:09

Lisander Viaene

19793949409515701969449

508AA0E754636EC3

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 = 2569240, B2 = 69524000 (P-1 stage 2)

B1 = 2569240 (P-1 stage 1)

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

B1 = 95000 (P-1 stage 1)

B1 = 75011 (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

TF factor-bounds graph:

2⁷⁰

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-01-07T20:27:09+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