M2 614 303 Mersenne number exponent details

is 2 ^2614303 - 1

has 786984 decimal digits

takes 0.202 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
Actual	2⁷⁰	91.4013	68.5714%	20000000	52108682010	320.0669	15.8742%	411.4682	73.5605%
Target	2⁶³	0.6105	65.0794%	12000	1000000	0.0074	1.5320%	0.6179	65.6143%
Difference	+7	+90.7908	+3.4921%	+19988000	+52107682010	+320.0595	+14.3422%	+410.8503	+7.9461%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2614303	94286373215560002099130008156415246687079887097	47	156.046	18032793676853831040076457885030015014916 2² × 23 × 89 × 103 × 4423 × 17053 × 267517 × 3876497 × 5110717 × 53488147	2023-01-15	5110717	53488147	6.790e+10	0.8675	1.1649

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-31	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.154%
2003-11-08	Team Prime Rib	v4_computers	15000	217500		-		-	-	0.003	-	-	0.568%
2010-11-17	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.187%
2010-12-13	markr	tiny	100000	2125000		-		-	-	0.024	-	-	1.942%
2014-10-12	Jocelyn Larouche	Manual testing	124551	124551		-		-	-	0.014	-	-	0.712%
2016-05-24	Jocelyn Larouche	Manual testing	200000	3600000	6	-		-	-	0.043	-	-	2.527%
2017-07-20	Jocelyn Larouche	low 4M	400000	4000000	6	-		-	-	0.067	-	-	2.875%
2019-10-14	masser	Manual testing	2614303	26143030	12	-		-	-	0.436	-	-	5.213%
2022-11-30	Jocelyn Larouche	Manual testing	1000000	449428980		-		-	-	2.848	-	-	7.415%
2023-01-15	kurly	purr	20000000	52108682010			94286373215560002099130008156415246687079887097	47	156.046	320.1	0.404	640.1	15.874%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-26	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.029	-	-
2009-01-31	Sturle Sunde	gilia.ifi	2⁶⁰	2⁶¹		-	-	0.059	-	-
2012-06-25	markr	oldgamer	2⁶¹	2⁶²		-	-	0.117	-	-
2013-01-14	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.375	-	-
2015-02-18	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.751	-	-
2015-02-18	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.429	-	-
2016-01-16	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.858	-	-
2017-08-28	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.717	-	-
2019-04-29	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.43	-	-
2021-06-03	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	22.87	-	-
2022-12-31	Architects Cubed	GPU72_TF	2⁶⁹	2⁷⁰		-	-	45.73	-	-

ECM factoring results:

Total ECM effort:	17.636 GHz-days
Estimated T-Level:	22.961

Digits	B1	Complete	FacMiss
20	11000	6.365	0.172%
25	50000	0.592	55.308%
30	250000	0.038	96.300%
35	1000000	0.002	99.822%

ECM Summary

B1	B2	curves	GHz-days
50000	50000	7	0.417
50000	5000000	135	13.91
50000	5150000	7	0.731
50000	6900000	7	0.838
50000	7000000	7	0.844
76620	10000000	5	0.892

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-26	Never Odd Or Even	T_Quad	50000	5000000						3	0.309
2010-06-10	James Hintz	13_052010	50000	5000000						3	0.309
2012-11-21	Donna Noble	Opt6128x4x4	50000	5000000						3	0.309
2014-08-31	Bruce	xps630	50000	5000000						3	0.309
2015-11-13	rextherunt	ocean0	50000	5000000						3	0.309
2016-03-26	Jason U	Server7	50000	5000000						3	0.309
2016-08-23	Marius Zens	KBWR_TV3	50000	5000000						3	0.309
2017-06-12	Bruce	eleven	50000	5000000						3	0.309
2017-10-25	Sebastian Hornbostel	V2	50000	5000000						3	0.309
2018-04-21	deo2016	VPS_001	50000	5000000						3	0.309
2019-02-27	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.309
2020-07-06	GAN	LMS-06	50000	5000000						3	0.309
2020-07-12	GAN	LMS-18	50000	5000000						3	0.309
2020-07-19	daveward2005	MW	50000	5000000						3	0.309
2020-07-25	MarkS	laptop64	50000	5000000						3	0.309
2020-08-01	GAN	LMS-14	50000	5000000						3	0.309
2020-08-09	GAN	LMS-01	50000	5000000						3	0.309
2020-09-11	LaurV	debilis	50000	5000000						7	0.721
2020-09-23	rextherunt	ice	50000	5000000						7	0.721
2020-10-20	daveward2005	Dave2	50000	5000000						7	0.721
2020-11-23	C.D.B.	i7-6850K	50000	5000000						7	0.721
2020-12-13	Bruno Victal	Manual testing	76620	10000000						5	0.892
2021-01-07	Cork	Manual testing	50000	5000000						7	0.721
2021-03-07	Zenzoma	AMD3970X	50000	5000000						7	0.721
2021-04-14	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.721
2021-06-04	kutens	canopus	50000	5150000						7	0.731
2021-07-16	C.D.B.	i7-6850K	50000	5000000						7	0.721
2021-09-13	mnd9	50871	50000	5000000						7	0.721
2021-11-25	-Anonymous-		50000	50000						7	0.417
2021-12-09	mikr	S067	50000	6900000						7	0.838
2022-04-15	daveward2005	Dave2	50000	5000000						7	0.721
2022-07-21	Nesowa	6700T	50000	7000000						7	0.844
2022-10-27	daveward2005	d12436	50000	5000000						7	0.721
2023-01-05	daveward2005	Davy	50000	5000000						7	0.721

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Stephan Grupp		840F609EA51406CF	0.202
1999-04-02	ANONYMOUS	v4_computers	840F609EA51406CF	0.202
2018-06-30	kkmrkkblmbrbk	old	840F609EA51406CF	0.202

PRP results:

date

userid

compid

cofactors

res64

PRP

2023-01-15

kurly

purr

94286373215560002099130008156415246687079887097

C21A4A6A541AC5__

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 = 20000000, B2 = 52108682010 (P-1 stage 2)

B1 = 1000000, B2 = 449428980 (P-1 stage 2)

B1 = 20000000 (P-1 stage 1)

B1 = 2614303, B2 = 26143030 (P-1 stage 2)

B1 = 2614303 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

B1 = 400000, B2 = 4000000 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

B1 = 200000, B2 = 3600000 (P-1 stage 2)

B1 = 100000, B2 = 2125000 (P-1 stage 2)

B1 = 200000 (P-1 stage 1)

B1 = 124551 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 15000, B2 = 217500 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

this exponent TF target: 63

TF double-checked to: 67.9

ECM T-Level=22.96 ~= 60-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

2¹⁵⁰

2¹⁶⁰

JSON version of this page

Last modified: 2023-10-02T12:12:48+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