M2941699 Mersenne number exponent details

is 2 ^2941699 - 1

has 885540 decimal digits

takes 0.250 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	40.5843	68.1159%	10000000	19223759100	130.4232	14.9469%	171.0075	72.8816%	4.7657%
Target	2⁶³	0.5425	65.0794%	17000	300000	0.0040	1.9466%	0.5466	65.7591%	0.6798%
Difference	+6	+40.0418	+3.0366%	+9983000	+19223459100	+130.4192	+13.0003%	+170.4609	+7.1225%	+4.0859%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2941699	34078973752727679469681115996969212289023	41	134.646	5792396460808478275595347450056789 3 × 13 × 19 × 179 × 8647 × 8807 × 76333 × 2219039 × 3385449337	2022-12-13	2219039	3385449337	6.465e+10	23.022	42.515

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-12-13T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.002	-	-	0.199%
2003-12-23T00:00:00	Team Prime Rib	v4_computers	10000	10000		-		-	-	0.001	-	-	0.120%
2010-11-06T13:23:00	markr	tiny	105000	2310000		-		-	-	0.028	-	-	2.302%
2015-04-30T21:53:00	VictordeHollander	Manual testing	1000000	20000000		-		-	-	0.251	-	-	5.054%
2022-11-05T10:14:39	Jocelyn Larouche	Manual testing	1200000	3372218850		-		-	-	22.81	-	-	10.506%
2022-12-13T23:46:56	mikr	MSI	10000000	19223759100			34078973752727679469681115996969212289023	41	134.646	130.4	0.501	260.8	14.947%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:25	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.052	-	-
2009-02-13T16:59:00	Sturle Sunde	gobi.ifi	2⁶⁰	2⁶¹		-	-	0.052	-	-
2011-12-27T09:19:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.104	-	-
2013-01-07T13:49:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.334	-	-
2015-04-25T17:16:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.667	-	-
2015-04-25T17:16:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.270	-	-
2016-02-24T09:33:37	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.540	-	-
2017-11-28T10:01:34	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.081	-	-
2018-12-22T00:20:04	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	10.16	-	-
2021-05-24T11:36:22	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	20.32	-	-

ECM factoring results:

Total ECM effort:	14.619 GHz-days
Estimated T-Level:	22.220

Digits	B1	Complete	FacMiss
20	11000	4.798	0.825%
25	50000	0.444	64.149%
30	250000	0.028	97.234%
35	1000000	0.001	99.869%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	102	11.81
50000	6750000	14	1.868
50000	6900000	7	0.945

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-04T02:25:00	ClknGo Software Corp	cngs1	50000	5000000						3	0.347
2011-04-17T16:26:00	Richard Kint	Desktop	50000	5000000						3	0.347
2013-06-30T05:55:00	kracker	Blaak	50000	5000000						3	0.347
2015-12-30T13:56:32	Bruce	Desk7	50000	5000000						3	0.347
2017-06-02T14:25:49	jafarism	jafarism-r07	50000	5000000						3	0.347
2019-09-20T04:56:23	Claude Portenier	Petit-Idiot	50000	5000000						3	0.347
2020-09-16T00:14:28	LaurV	3tits	50000	5000000						7	0.810
2020-10-13T07:27:36	rextherunt	ice	50000	5000000						7	0.810
2020-11-09T18:36:15	daveward2005	Dave2	50000	5000000						7	0.810
2020-12-15T04:26:24	Zenzoma	AM3700X_1	50000	5000000						7	0.810
2021-01-16T16:08:34	IanGlencross	glenx24	50000	5000000						7	0.810
2021-02-15T20:04:34	mnd9	office2	50000	5000000						7	0.810
2021-03-16T02:55:00	mnd9	75204	50000	5000000						7	0.810
2021-04-22T07:32:32	Zenzoma	AMD3970X	50000	5000000						7	0.810
2021-06-14T21:03:22	LaurV	butu	50000	6750000						7	0.934
2021-07-29T02:22:40	kutens	terra	50000	6750000						7	0.934
2021-10-12T06:11:11	Per Jessen	earth	50000	5000000						7	0.810
2022-01-11T07:02:05	daveward2005	d12436	50000	5000000						7	0.810
2022-04-25T11:45:52	RIHATEC	i7-3770K	50000	5000000						7	0.810
2022-07-28T14:26:04	Jonathan Webb	do-primes-2	50000	5000000						7	0.810
2022-10-25T03:35:37	Alvin Bunk	BADCAT	50000	6900000						7	0.945

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-02-19T00:00:00	ANONYMOUS	v4_computers	85C5A0A739C2EB86	0.250
1999-05-23T00:00:00	ANONYMOUS	v4_computers	85C5A0A739C2EB86	0.250
2018-10-10T19:03:41	kkmrkkblmbrbk	old	85C5A0A739C2EB86	0.250

PRP results:

date

userid

compid

cofactors

res64

PRP

2022-12-14T19:57:33

/r/counting

34078973752727679469681115996969212289023

E5A85208814E618C

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 = 10000000, B2 = 19223759100 (P-1 stage 2)

B1 = 1200000, B2 = 3372218850 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 1000000, B2 = 20000000 (P-1 stage 2)

B1 = 1200000 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

B1 = 105000, B2 = 2310000 (P-1 stage 2)

B1 = 105000 (P-1 stage 1)

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

B1 = 10000 (P-1 stage 1)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

Last modified: 2022-12-14T19:57:33+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