M2346677 Mersenne number exponent details

is 2 ^2346677 - 1

has 706421 decimal digits

takes 0.159 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	25.3997	67.6471%	6000000	180000000	1.5164	8.9751%	26.9160	70.5508%	2.9037%
PrimeNet	2⁵⁸	0.0164	62.0690%	11000	200000	0.0021	3.0479%	0.0184	63.2251%	1.1561%
GPU72	2⁶²	0.2618	64.5161%	13000	220000	0.0024	1.8350%	0.2642	65.1673%	0.6511%
Difference	+6	+25.1379	+3.1309%	+5987000	+179780000	+1.5140	+7.1400%	+26.6519	+5.3835%	+5.3835%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2346677	64870937550288175960639	23	75.780	13821871853324547 3³ × 511921179752761	2021-03-04	27	511921179752761	4,084.4	2,732,066	5,102,739

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%
2010-03-02T08:50:00	Bud	annan	500000	10000000		-		-	-	0.100	-	-	4.380%
2018-01-27T21:29:26	Sid & Andy	Hand_In_The_Box	6000000	180000000	12	-		-	-	1.516	-	-	8.975%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:12	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.065	-	-
2009-01-14T22:25:00	Sturle Sunde	celair.ifi	2⁶⁰	2⁶¹		-	-	0.065	-	-
2012-05-29T09:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.131	-	-
2013-12-04T08:58:00	Luigi Morelli	Manual testing	2⁶²	2⁶³		-	-	0.418	-	-
2015-03-06T11:15:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.837	-	-
2015-03-06T11:15:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.592	-	-
2015-10-26T11:50:56	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.184	-	-
2017-06-11T03:38:00	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.369	-	-
2019-03-04T13:44:34	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.74	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.269 GHz-days
Estimated T-Level:	22.268

Digits	B1	Curves	Complete	FacMiss
20	11000	127 / 100	1.270	27.904%
25	50000	127 / 280	0.454	63.484%

New Calculation Method

Total ECM effort:	11.269 GHz-days
Estimated T-Level:	22.268

Digits	B1	Complete	FacMiss
20	11000	4.097	1.663%
25	50000	0.370	69.055%
30	250000	0.023	97.746%
35	1000000	0.001	99.896%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		126	11.18
50000	5000000	64870937550288175960639	1	0.089

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-24T11:39:00	Johan Koolwaaij	C0B5A3B75	50000	5000000						3	0.266
2010-01-25T02:05:00	sannerud.com	strs-w2k8e	50000	5000000						3	0.266
2011-12-28T12:18:00	Bud	annan	50000	5000000						3	0.266
2013-10-26T02:18:00	Bruce	apandya-DESK11	50000	5000000						3	0.266
2015-06-06T18:45:00	dragon325	Falken-i7-920	50000	5000000						3	0.266
2016-02-16T20:16:03	Sintax	cloud2	50000	5000000						3	0.266
2016-05-07T21:43:30	lettp	Home	50000	5000000						3	0.266
2016-08-28T05:37:01	Bruce	Desk6	50000	5000000						3	0.266
2017-02-23T15:10:49	Bruce	Desk6	50000	5000000						3	0.266
2017-09-26T06:51:14	Bruce	Desk6	50000	5000000						3	0.266
2018-02-24T02:20:59	Bruce	Desk6	50000	5000000						3	0.266
2018-08-18T00:40:45	Bruce	Desk6	50000	5000000						3	0.266
2020-03-13T17:39:10	daveward2005	MW	50000	5000000						3	0.266
2020-03-22T00:57:31	Brett Walker	brain	50000	5000000						3	0.266
2020-04-06T22:37:37	kracker	O0	50000	5000000						3	0.266
2020-04-17T04:26:53	mnd9	libproj	50000	5000000						3	0.266
2020-04-26T09:00:32	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.266
2020-05-04T12:20:29	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.266
2020-05-16T06:01:54	mnd9	libproj	50000	5000000						3	0.266
2020-06-02T12:39:44	mnd9	kitchen	50000	5000000						3	0.266
2020-06-23T06:48:36	GAN	KL-SCH09	50000	5000000						3	0.266
2020-07-02T00:19:01	mnd9	libproj	50000	5000000						3	0.266
2020-07-08T03:35:07	GAN	LMS-14	50000	5000000						3	0.266
2020-07-14T10:41:27	debrouxl	8rd	50000	5000000						3	0.266
2020-07-20T12:05:01	daveward2005	Dave2	50000	5000000						3	0.266
2020-07-26T18:58:47	GAN	LMS-14	50000	5000000						3	0.266
2020-08-03T03:04:42	GAN	LMS-12	50000	5000000						3	0.266
2020-08-10T22:58:44	GAN	LMS-12	50000	5000000						3	0.266
2020-08-26T08:37:16	-Anonymous-	aws	50000	5000000						7	0.621
2020-09-30T16:24:45	mnd9	libproj	50000	5000000						7	0.621
2020-10-27T02:01:37	mnd9	libproj	50000	5000000						7	0.621
2020-11-30T10:31:05	IanGlencross	glenx24	50000	5000000						7	0.621
2021-01-02T23:35:57	Zenzoma	AMD3970X	50000	5000000						7	0.621
2021-02-03T02:38:33	daveward2005	Dave2	50000	5000000						7	0.621
2021-03-04T16:43:17	mnd9	50869	50000	5000000	64870937550288175960639	75.780	1	2	4232061831598343	1	0.089

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-26T00:00:00	ANONYMOUS	v4_computers	6D8A749AA72B3F26	0.159
2018-05-09T00:42:55	kkmrkkblmbrbk	old	6D8A749AA72B3F26	0.159

PRP results:

date

userid

compid

cofactors

res64

PRP

2021-03-04T21:26:35

SRJ2877

LTOS

64870937550288175960639

448EFD5F6BBE08CE

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 = 6000000, B2 = 180000000 (P-1 stage 2)

B1 = 6000000 (P-1 stage 1)

B1 = 500000, B2 = 10000000 (P-1 stage 2)

B1 = 500000 (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

10¹⁵

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-03-04T21:26:35+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