M2614303 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁰	91.4013	68.5714%	20000000	52108682010	320.0669	15.8742%	411.4682	73.5605%	4.9890%
Target	2⁶³	0.6105	65.0794%	12000	200000	0.0025	1.5320%	0.6130	65.6143%	0.5350%
Difference	+7	+90.7908	+3.4921%	+19988000	+52108482010	+320.0644	+14.3422%	+410.8552	+7.9461%	+4.4540%

	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
2003-10-31T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.154%
2003-11-08T00:00:00	Team Prime Rib	v4_computers	15000	217500		-		-	-	0.003	-	-	0.568%
2010-11-17T11:35:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.187%
2010-12-13T20:12:00	markr	tiny	100000	2125000		-		-	-	0.024	-	-	1.942%
2014-10-12T23:56:00	Jocelyn Larouche	Manual testing	124551	124551		-		-	-	0.014	-	-	0.712%
2016-05-24T01:15:55	Jocelyn Larouche	Manual testing	200000	3600000	6	-		-	-	0.043	-	-	2.527%
2017-07-20T22:03:18	Jocelyn Larouche	low 4M	400000	4000000	6	-		-	-	0.067	-	-	2.875%
2019-10-14T15:57:35	masser	Manual testing	2614303	26143030	12	-		-	-	0.436	-	-	5.213%
2022-11-30T06:31:07	Jocelyn Larouche	Manual testing	1000000	449428980		-		-	-	2.848	-	-	7.415%
2023-01-15T17:28:26	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
1999-03-26T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2016-02-23T16:29:17	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.029	-	-
2009-01-31T15:09:00	Sturle Sunde	gilia.ifi	2⁶⁰	2⁶¹		-	-	0.059	-	-
2012-06-25T03:11:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.117	-	-
2013-01-14T11:55:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.375	-	-
2015-02-18T11:41:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.751	-	-
2015-02-18T11:41:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.429	-	-
2016-01-16T11:43:04	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.858	-	-
2017-08-28T12:47:26	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.717	-	-
2019-04-29T13:20:18	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.43	-	-
2021-06-03T11:39:06	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	22.87	-	-
2022-12-31T20:07:01	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
2009-02-26T22:14:00	Never Odd Or Even	T_Quad	50000	5000000						3	0.309
2010-06-10T06:21:00	James Hintz	13_052010	50000	5000000						3	0.309
2012-11-21T05:16:00	Donna Noble	Opt6128x4x4	50000	5000000						3	0.309
2014-08-31T12:27:00	Bruce	xps630	50000	5000000						3	0.309
2015-11-13T19:39:22	rextherunt	ocean0	50000	5000000						3	0.309
2016-03-26T14:13:18	Jason U	Server7	50000	5000000						3	0.309
2016-08-23T14:33:16	Marius Zens	KBWR_TV3	50000	5000000						3	0.309
2017-06-12T09:43:08	Bruce	eleven	50000	5000000						3	0.309
2017-10-25T13:34:16	Sebastian Hornbostel	V2	50000	5000000						3	0.309
2018-04-21T06:40:14	deo2016	VPS_001	50000	5000000						3	0.309
2019-02-27T03:43:18	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.309
2020-07-06T15:07:51	GAN	LMS-06	50000	5000000						3	0.309
2020-07-12T23:57:43	GAN	LMS-18	50000	5000000						3	0.309
2020-07-19T15:18:10	daveward2005	MW	50000	5000000						3	0.309
2020-07-25T10:56:06	MarkS	laptop64	50000	5000000						3	0.309
2020-08-01T09:19:53	GAN	LMS-14	50000	5000000						3	0.309
2020-08-09T02:53:31	GAN	LMS-01	50000	5000000						3	0.309
2020-09-11T17:33:19	LaurV	debilis	50000	5000000						7	0.721
2020-09-23T11:10:12	rextherunt	ice	50000	5000000						7	0.721
2020-10-20T15:55:28	daveward2005	Dave2	50000	5000000						7	0.721
2020-11-23T20:26:39	C.D.B.	i7-6850K	50000	5000000						7	0.721
2020-12-13T10:41:42	Bruno Victal	Manual testing	76620	10000000						5	0.892
2021-01-07T02:47:31	Cork	Manual testing	50000	5000000						7	0.721
2021-03-07T18:25:34	Zenzoma	AMD3970X	50000	5000000						7	0.721
2021-04-14T18:06:23	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.721
2021-06-04T03:58:41	kutens	canopus	50000	5150000						7	0.731
2021-07-16T07:43:11	C.D.B.	i7-6850K	50000	5000000						7	0.721
2021-09-13T13:58:59	mnd9	50871	50000	5000000						7	0.721
2021-11-25T01:55:18	-Anonymous-		50000	50000						7	0.417
2021-12-09T18:16:40	mikr	S067	50000	6900000						7	0.838
2022-04-15T05:55:05	daveward2005	Dave2	50000	5000000						7	0.721
2022-07-21T00:02:38	Nesowa	6700T	50000	7000000						7	0.844
2022-10-27T13:16:20	daveward2005	d12436	50000	5000000						7	0.721
2023-01-05T10:43:07	daveward2005	Davy	50000	5000000						7	0.721

date	userid	compid	res64	spent (GHz-days)
1999-04-02T00:00:00	ANONYMOUS	v4_computers	840F609EA51406CF	0.202
2018-06-30T18:49:24	kkmrkkblmbrbk	old	840F609EA51406CF	0.202

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

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