M2245951 Mersenne number exponent details

is 2 ^2245951 - 1

has 676099 decimal digits

takes 0.148 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	53.1565	68.1159%	3677255	128703915	1.0000	7.5935%	54.1565	70.5371%	2.4211%
PrimeNet	2⁵⁸	0.0171	62.0690%	10000	180000	0.0018	2.8740%	0.0189	63.1591%	1.0901%
GPU72	2⁶²	0.2735	64.5161%	11000	190000	0.0020	1.6594%	0.2755	65.1049%	0.5888%
Difference	+7	+52.8829	+3.5998%	+3666255	+128513915	+0.9980	+5.9341%	+53.8809	+5.4321%	+5.4321%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-01-18T00:04:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.442%
2012-01-07T13:36:00	Squeeky_Squirrel	P4_2600	150000	3262500		-		-	-	0.030	-	-	2.570%
2015-12-05T07:06:24	Alexander Dubrovin	Manual testing	1000000	10000000	12	-		-	-	0.142	-	-	4.252%
2020-11-04T10:19:57	GdS	Manual testing	3677255	128703915	12	-		-	-	1.000	-	-	7.593%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:09	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.068	-	-
2009-01-11T10:06:00	Sturle Sunde	gibsy.ifi	2⁶⁰	2⁶¹		-	-	0.068	-	-
2012-05-03T17:47:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.137	-	-
2013-12-04T02:15:00	LaurV	Manual testing	2⁶²	2⁶³		-	-	0.437	-	-
2015-03-10T10:44:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.874	-	-
2015-03-10T10:44:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.664	-	-
2015-10-27T09:37:29	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.327	-	-
2017-01-05T21:20:48	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.654	-	-
2019-04-01T13:34:46	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.31	-	-
2021-07-05T07:40:31	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	26.62	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.103 GHz-days
Estimated T-Level:	23.464

Digits	B1	Curves	Complete	FacMiss
20	11000	194 / 100	1.940	14.231%
25	50000	194 / 280	0.693	49.953%

New Calculation Method

Total ECM effort:	17.103 GHz-days
Estimated T-Level:	23.464

Digits	B1	Complete	FacMiss
20	11000	7.526	0.054%
25	50000	0.695	49.898%
30	250000	0.044	95.712%
35	1000000	0.002	99.795%

ECM Summary

B1	B2	curves	GHz-days
50000	50000	7	0.355
50000	5000000	180	15.45
50000	5150000	7	0.608
50000	6750000	7	0.688

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-28T13:24:00	Never Odd Or Even	T_Quad	50000	5000000						3	0.258
2009-12-30T12:35:00	Piepen	T41-2000	50000	5000000						3	0.258
2011-10-15T20:55:00	Bud	annan	50000	5000000						3	0.258
2013-07-15T13:32:00	Lukasz Wrobel	i-1	50000	5000000						3	0.258
2015-03-27T19:50:00	Bruce	desk16	50000	5000000						3	0.258
2016-03-26T16:58:26	Bruce	Desk6	50000	5000000						3	0.258
2016-04-12T18:17:35	Bruce	Desk6	50000	5000000						3	0.258
2016-07-16T12:38:30	Bruce	Desk6	50000	5000000						3	0.258
2016-12-02T19:13:27	Bruce	Desk6	50000	5000000						3	0.258
2017-06-26T13:40:19	Bruce	Desk6	50000	5000000						3	0.258
2017-12-10T01:17:02	Bruce	Desk6	50000	5000000						3	0.258
2018-05-13T10:00:32	Bruce	Desk6	50000	5000000						3	0.258
2019-04-01T04:18:59	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.258
2020-02-19T13:30:08	mnd9	kitchen	50000	5000000						3	0.258
2020-02-27T00:02:06	mnd9	colab2	50000	5000000						3	0.258
2020-03-11T08:04:14	daveward2005	MW	50000	5000000						3	0.258
2020-03-18T10:04:04	MarkS	laptop64	50000	5000000						3	0.258
2020-03-29T13:35:13	ANONYMOUS	PC136	50000	5000000						3	0.258
2020-04-10T18:57:06	mnd9	221Rb	50000	5000000						3	0.258
2020-04-23T08:53:50	Sergey Nosov	TS140-02	50000	5000000						3	0.258
2020-04-30T17:08:59	nordi	sweet16	50000	5000000						3	0.258
2020-05-04T04:17:09	mnd9	221Rb	50000	5000000						3	0.258
2020-05-28T02:56:46	mnd9	kitchen	50000	5000000						3	0.258
2020-06-16T20:26:51	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.258
2020-06-29T04:21:53	nordi	sweet16	50000	5000000						3	0.258
2020-07-06T06:55:47	daveward2005	MW	50000	5000000						3	0.258
2020-07-11T04:22:18	GAN	LMS-13	50000	5000000						3	0.258
2020-07-12T04:26:27	GAN	LMS-16	50000	5000000						3	0.258
2020-07-18T14:18:43	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.258
2020-07-27T03:43:37	Nesowa	entropy_generator_2	50000	5000000						3	0.258
2020-07-31T06:27:33	GAN	LMS-18	50000	5000000						3	0.258
2020-08-07T23:06:03	GAN	LMS-06	50000	5000000						3	0.258
2020-08-16T10:56:15	daveward2005	Dave2	50000	5000000						7	0.601
2020-09-16T23:14:07	IanGlencross	glenx24	50000	5000000						7	0.601
2020-10-18T04:51:11	nordi	sweet16	50000	5000000						7	0.601
2020-11-21T00:45:35	rextherunt	ice	50000	5000000						7	0.601
2020-12-26T17:30:30	Zenzoma	AM3700X_1	50000	5000000						7	0.601
2021-01-27T06:29:18	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.601
2021-02-25T20:11:31	Zenzoma	AMD3970X	50000	5000000						7	0.601
2021-04-01T01:32:44	C.D.B.	i7-6850K	50000	5000000						7	0.601
2021-05-16T01:26:01	kutens	canopus	50000	5150000						7	0.608
2021-07-02T14:11:23	kutens	vega	50000	6750000						7	0.688
2021-10-22T00:48:21	mnd9	kitchen	50000	5000000						7	0.601
2021-11-03T20:55:22	Esti	Estis_CoreI7	50000	5000000						7	0.601
2022-02-19T12:11:44	RIHATEC	i7-3770K	50000	5000000						7	0.601
2022-05-27T17:22:28	tottenhoff		50000	50000						7	0.355
2022-06-10T18:09:57	daveward2005	Davy	50000	5000000						7	0.601

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-06-09T00:00:00	ANONYMOUS	v4_computers	141D633765B10022	0.148
2002-06-23T00:00:00	ANONYMOUS	v4_computers	141D633765B10022	0.148

PRP results:
No PRP results for M2245951

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 = 3677255, B2 = 128703915 (P-1 stage 2)

B1 = 3677255 (P-1 stage 1)

B1 = 1000000, B2 = 10000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 150000, B2 = 3262500 (P-1 stage 2)

B1 = 150000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-10T18:09:57+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