M2137517 Mersenne number exponent details

is 2 ^2137517 - 1

has 643457 decimal digits

takes 0.141 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	2⁶⁹	55.8530	68.1159%	2500000	125000000	0.8746	7.2867%	56.7277	70.4392%	2.3233%
PrimeNet	2⁵⁸	0.0180	62.0690%	9000	170000	0.0017	2.7307%	0.0197	63.1048%	1.0358%
GPU72	2⁶²	0.2874	64.5161%	10000	150000	0.0017	1.4872%	0.2891	65.0438%	0.5277%
Difference	+7	+55.5656	+3.5998%	+2490000	+124850000	+0.8730	+5.7995%	+56.4386	+5.3954%	+5.3954%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-03-07T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.181%
2010-10-26T05:11:00	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.577%
2010-11-26T23:11:00	Oscar Östlin		80000	1500000		-		-	-	0.015	-	-	1.856%
2013-12-03T16:49:00	c10ck3r	Manual testing	500000	10000000		-		-	-	0.097	-	-	3.920%
2017-10-15T10:33:50	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.287%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:06	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.054	-	-
2009-01-05T09:09:00	Sturle Sunde	eberlin.ifi	2⁶⁰	2⁶¹		-	-	0.072	-	-
2012-04-15T19:42:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.144	-	-
2013-02-21T00:57:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.459	-	-
2015-03-18T10:56:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.919	-	-
2015-03-18T10:56:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.748	-	-
2015-12-27T16:49:14	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.496	-	-
2016-10-29T15:24:10	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.992	-	-
2019-04-22T13:11:43	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.98	-	-
2021-07-19T12:32:39	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	27.97	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.224 GHz-days
Estimated T-Level:	23.536

Digits	B1	Curves	Complete	FacMiss
20	11000	198 / 100	1.980	13.670%
25	50000	198 / 280	0.707	49.243%

New Calculation Method

Total ECM effort:	17.224 GHz-days
Estimated T-Level:	23.536

Digits	B1	Complete	FacMiss
20	11000	7.684	0.046%
25	50000	0.713	49.038%
30	250000	0.045	95.592%
35	1000000	0.002	99.789%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	181	15.44
50000	5150000	7	0.604
50000	6750000	7	0.683
50000	11000000	2	0.254
76620	24176890	1	0.246

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-03T19:27:00	SubPrime	dijkstra	50000	5000000						3	0.256
2009-11-23T19:28:00	SubPrime	stor	50000	5000000						3	0.256
2011-05-27T23:47:00	Oscar Östlin		50000	11000000						2	0.254
2013-03-01T08:38:00	Donna Noble	opt4820	50000	5000000						3	0.256
2014-05-28T06:52:00	OS1	L3	50000	5000000						3	0.256
2015-07-23T11:02:00	guru	w1	50000	5000000						3	0.256
2016-02-20T19:03:23	Bruce	Desk8	50000	5000000						3	0.256
2016-05-23T00:04:16	Bruce	Desk6	50000	5000000						3	0.256
2016-09-02T23:06:04	StarionHost	Bluto	50000	5000000						3	0.256
2017-01-30T13:43:13	Bruce	Desk6	50000	5000000						3	0.256
2017-08-27T10:59:42	Bruce	Desk6	50000	5000000						3	0.256
2018-01-11T05:05:02	Bruce	Desk6	50000	5000000						3	0.256
2018-06-22T05:23:08	Bruce	Desk6	50000	5000000						3	0.256
2019-06-16T02:40:19	zar	eng1	50000	5000000						3	0.256
2020-01-20T18:26:00	mnd9	colab	50000	5000000						3	0.256
2020-01-25T20:51:45	Sergey Nosov	TS140-02	50000	5000000						3	0.256
2020-02-03T04:33:49	EricP	Cannonfodder	50000	5000000						3	0.256
2020-02-18T14:27:17	mnd9	office2	50000	5000000						3	0.256
2020-02-25T15:38:12	EricP	Cannonfodder	50000	5000000						3	0.256
2020-03-03T16:37:30	mnd9	50869b	50000	5000000						3	0.256
2020-03-09T23:14:13	MarkS	desktop-i7	50000	5000000						3	0.256
2020-03-18T04:14:10	MarkS	desktop-i7	50000	5000000						3	0.256
2020-03-28T04:56:00	EricP	Cannonfodder	50000	5000000						3	0.256
2020-04-09T09:06:32	Keysarecool	HPLaptop	50000	5000000						3	0.256
2020-04-12T11:37:55	EricP	Cannonfodder	50000	5000000						3	0.256
2020-04-22T08:07:22	nordi	sweet16	50000	5000000						3	0.256
2020-04-29T15:24:54	EricP	Cannonfodder	50000	5000000						3	0.256
2020-05-10T21:04:46	daveward2005	Davy	50000	5000000						3	0.256
2020-05-25T10:25:33	Sergey Nosov	TS140-02	50000	5000000						3	0.256
2020-06-19T07:32:59	mat10243x	K2	50000	5000000						3	0.256
2020-06-28T14:21:10	LaurV	3tits	50000	5000000						3	0.256
2020-07-04T23:16:44	GAN	GAN-HP	50000	5000000						3	0.256
2020-07-12T03:35:26	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.256
2020-07-17T09:30:53	GAN	LMS-11	50000	5000000						3	0.256
2020-07-26T04:44:01	rextherunt	ice	50000	5000000						3	0.256
2020-07-31T03:57:50	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.256
2020-08-07T02:39:41	GAN	LMS-03	50000	5000000						3	0.256
2020-08-15T13:53:56	MarkS	laptop64	50000	5000000						3	0.256
2020-09-10T19:23:22	mnd9	75204b	50000	5000000						7	0.597
2020-10-12T15:06:20	mnd9	f4b	50000	5000000						7	0.597
2020-11-09T21:38:47	Bruno Victal	Manual testing	76620	24176890						1	0.246
2020-11-10T13:07:33	mnd9	libproj	50000	5000000						7	0.597
2020-12-23T11:19:18	lycorn	colab_ES	50000	6750000						7	0.683
2021-02-22T12:52:43	Zenzoma	AM3700X_1	50000	5000000						7	0.597
2021-03-25T07:10:18	Zenzoma	AM3700X_1	50000	5000000						7	0.597
2021-03-27T18:02:20	daveward2005	MW	50000	5000000						7	0.597
2021-05-12T11:24:36	kutens	arcturus	50000	5150000						7	0.604
2021-08-08T18:37:27	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.597
2021-08-29T09:37:46	kbr2_Fabio	Hp_casa	50000	5000000						7	0.597
2021-10-16T13:21:46	mnd9	kitchen	50000	5000000						7	0.597
2022-01-21T19:21:26	Jonathan Webb	do-primes-2	50000	5000000						7	0.597

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-04-02T00:00:00	ANONYMOUS	v4_computers	CCE03897AFD27357	0.141
2018-04-07T02:17:50	kkmrkkblmbrbk	old	CCE03897AFD27357	0.141

PRP results:
No PRP results for M2137517

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 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

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

B1 = 500000 (P-1 stage 1)

B1 = 80000, B2 = 1500000 (P-1 stage 2)

B1 = 80000 (P-1 stage 1)

B1 = 75011 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-01-21T19:21:26+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