M1952851 Mersenne number exponent details

is 2 ^1952851 - 1

has 587867 decimal digits

takes 0.106 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	30.5220	69.1176%	32000000	10272022740	46.4034	15.5785%	76.9254	73.9286%	4.8110%
PrimeNet	2⁵⁸	0.0197	63.7931%	8000	140000	0.0012	2.4675%	0.0209	64.6865%	0.8934%
GPU72	2⁶²	0.3146	66.1290%	8000	90000	0.0010	1.1535%	0.3156	66.5197%	0.3907%
Difference	+6	+30.2074	+2.9886%	+31992000	+10271932740	+46.4024	+14.4250%	+76.6098	+7.4089%	+7.4089%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-05-16T18:42:00	kurly	hex	1000000	30000000		-		-	-	0.203	-	-	5.697%
2018-01-15T00:57:39	Jocelyn Larouche	low 4M	1952851	30000000	12	-		-	-	0.274	-	-	6.051%
2018-02-12T21:00:12	Jocelyn Larouche	low 4M	1952851	60000000	12	-		-	-	0.402	-	-	6.835%
2018-03-02T23:08:40	Jocelyn Larouche	low 4M	1952851	120000000	12	-		-	-	0.660	-	-	7.626%
2018-05-10T11:54:31	Jocelyn Larouche	low 4M	1952851	195285100	12	-		-	-	0.982	-	-	8.186%
2018-11-26T12:54:02	Jocelyn Larouche	Manual testing	1952851	244106375	12	-		-	-	1.191	-	-	8.444%
2022-08-01T14:14:48	RichD0	Linux-5b	32000000	10272022740		-		-	-	46.40	-	-	15.578%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-21T00:00:00	Stephen Wood	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.059	-	-
2010-01-17T16:42:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.079	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.157	-	-
2011-08-27T22:19:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.817	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.503	-	-
2015-04-23T21:39:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.005	-	-
2015-04-23T21:40:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.913	-	-
2015-09-06T20:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.827	-	-
2018-02-12T20:05:02	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.653	-	-
2019-05-13T00:32:11	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.31	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.016 GHz-days
Estimated T-Level:	24.464

Digits	B1	Curves	Complete	FacMiss
20	11000	250 / 100	2.500	8.106%
25	50000	250 / 280	0.893	40.883%

New Calculation Method

Total ECM effort:	18.016 GHz-days
Estimated T-Level:	24.464

Digits	B1	Complete	FacMiss
20	11000	9.770	0.006%
25	50000	0.907	40.365%
30	250000	0.057	94.425%
35	1000000	0.003	99.732%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	198	13.78
50000	5450000	7	0.505
50000	6750000	7	0.556
50000	7500000	38	3.177

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-15T12:47:00	Jorge Flora	PC_PN03	50000	5000000						3	0.209
2009-08-14T09:18:00	SubPrime	pitr	50000	5000000						3	0.209
2011-01-15T08:44:00	Lupo	yorick	50000	5000000						3	0.209
2012-11-26T02:20:00	Donna Noble	CCI_PH2_955	50000	5000000						3	0.209
2013-12-31T17:46:00	arnaud	srv-630	50000	5000000						3	0.209
2015-05-13T11:05:00	OS1	L3	50000	5000000						3	0.209
2016-02-09T11:57:07	James P McMillan	caturday	50000	5000000						3	0.209
2016-03-18T18:45:49	Bruce	Desk6	50000	5000000						3	0.209
2016-06-26T17:00:02	Jason U	Server7	50000	5000000						3	0.209
2016-10-08T14:32:07	Bruce	Desk6	50000	5000000						3	0.209
2017-06-05T09:59:36	Bruce	Desk6	50000	5000000						3	0.209
2017-10-04T11:14:57	Bruce	Desk6	50000	5000000						3	0.209
2018-01-13T09:00:35	Bruce	Desk6	50000	5000000						3	0.209
2018-06-11T21:13:11	Bruce	Desk6	50000	5000000						3	0.209
2019-04-16T16:28:34	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2019-12-06T04:37:15	daveward2005	Davy	50000	5000000						3	0.209
2019-12-10T10:50:40	George Woltman	colab	50000	5000000						3	0.209
2019-12-15T08:56:35	daveward2005	Davy	50000	5000000						3	0.209
2019-12-20T12:55:24	IanGlencross	glenx24	50000	5000000						3	0.209
2019-12-27T13:50:31	Sergey Nosov	TS140-02	50000	5000000						3	0.209
2019-12-31T14:18:51	Bommer	3900X	50000	5000000						3	0.209
2020-01-06T10:23:35	Sergey Nosov	TS140-02	50000	5000000						3	0.209
2020-01-14T02:16:56	Nesowa	entropy_generator_2	50000	5000000						3	0.209
2020-01-21T02:12:57	mnd9	touchdown	50000	5000000						3	0.209
2020-01-27T02:07:27	mnd9	75204b	50000	5000000						3	0.209
2020-02-04T17:16:25	Keysarecool	Boat_Anchor	50000	5000000						3	0.209
2020-02-14T13:08:16	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.209
2020-02-20T00:10:19	mnd9	kitchen	50000	5000000						3	0.209
2020-02-27T09:39:28	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-03-04T21:25:18	mnd9	kitchen	50000	5000000						3	0.209
2020-03-11T13:03:08	kracker	O0	50000	5000000						3	0.209
2020-03-19T09:57:03	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-03-30T23:07:24	mnd9	colab	50000	5000000						3	0.209
2020-04-11T15:45:02	Keysarecool	HPLaptop	50000	5000000						3	0.209
2020-04-23T14:28:10	nordi	sweet16	50000	5000000						3	0.209
2020-05-01T02:03:13	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2020-05-12T08:21:46	nordi	sweet16	50000	5000000						3	0.209
2020-05-27T15:39:56	mnd9	75203	50000	5000000						3	0.209
2020-06-16T08:16:03	GAN	KL-SCH01	50000	5000000						3	0.209
2020-06-28T23:50:17	GAN	LMS-11	50000	5000000						3	0.209
2020-07-06T02:14:07	GAN	OSK-SEK	50000	5000000						3	0.209
2020-07-12T14:09:11	GAN	OSB-01	50000	5000000						3	0.209
2020-07-25T06:15:22	GAN	AC-GR	50000	5000000						3	0.209
2020-08-02T01:07:32	GAN	KL-SCH07	50000	5000000						3	0.209
2020-08-08T09:08:12	GAN	LMS-17	50000	5000000						3	0.209
2020-08-17T14:00:47	M. R. Mayer	nimbus	50000	5000000						7	0.487
2020-09-18T23:12:57	kracker	core	50000	5000000						7	0.487
2020-10-17T14:47:12	Leo Custodio	GCP-013	50000	5000000						7	0.487
2020-11-14T12:16:38	GAN	AC-KL	50000	5000000						7	0.487
2020-12-21T04:48:36	Zenzoma	AM3700X_1	50000	5000000						7	0.487
2021-01-22T11:20:43	lycorn	colab_S_1	50000	6750000						7	0.556
2021-02-26T15:59:52	GAN	N-29	50000	5000000						7	0.487
2021-03-24T17:57:55	Zenzoma	AMD3970X	50000	5000000						7	0.487
2021-05-11T18:31:35	kutens	capella	50000	5450000						7	0.505
2021-06-24T00:04:30	LaurV	debi	50000	5000000						7	0.487
2021-08-25T01:55:36	LaurV	Manual testing	50000	5000000						7	0.487
2022-06-08T12:37:07	TJAOI	Manual testing	50000	7500000						38	3.177

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	Stephen Wood	v4_computers	F65610AC5C83C0E9	0.106
2015-07-06T20:16:00	MadPoo	Manual testing	F65610AC5C83C0E9	0.106

PRP results:
No PRP results for M1952851

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 = 32000000, B2 = 10272022740 (P-1 stage 2)

B1 = 32000000 (P-1 stage 1)

B1 = 1952851, B2 = 244106375 (P-1 stage 2)

B1 = 1952851, B2 = 195285100 (P-1 stage 2)

B1 = 1952851, B2 = 120000000 (P-1 stage 2)

B1 = 1952851, B2 = 60000000 (P-1 stage 2)

B1 = 1952851, B2 = 30000000 (P-1 stage 2)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1952851 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

10⁵

10⁶

10⁷

10⁸

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-01T14:14:48+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