M2646797 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	2⁶⁹	45.1061	68.1159%	2000000	50000000	0.5169	6.2920%	45.6230	70.1221%	2.0061%
PrimeNet	2⁵⁹	0.0290	62.7119%	11000	200000	0.0024	2.7037%	0.0314	63.7200%	1.0082%
GPU72	2⁶³	0.6030	65.0794%	13000	200000	0.0026	1.5744%	0.6056	65.6291%	0.5498%
Difference	+6	+44.5031	+3.0366%	+1987000	+49800000	+0.5143	+4.7176%	+45.0174	+4.4929%	+4.4929%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2646797	3846670984601247228889	22	71.704	726665283473052 2² × 3 × 7³ × 11 × 16049679377	2021-11-12	343	16049679377	289.04	97.930	182.91

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	-	-	0.192%
2009-06-22T09:52:00	harlee	P4_2600	30000	420000		-		-	-	0.006	-	-	1.045%
2011-01-20T06:54:00	James Heinrich	i7-920	180000	4275000		-		-	-	0.045	-	-	2.890%
2016-12-28T03:20:11	Jocelyn Larouche	low 4M	171988	171988		-		-	-	0.019	-	-	0.985%
2016-12-29T21:56:29	Jocelyn Larouche	low 4M	206385	206385		-		-	-	0.023	-	-	1.086%
2017-05-08T05:55:48	Jocelyn Larouche	low 4M	360000	3600000	6	-		-	-	0.060	-	-	3.080%
2019-11-28T16:16:15	masser	Manual testing	2000000	50000000	12	-		-	-	0.517	-	-	6.292%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-26T00:00:00	pyropunk	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2000-03-08T00:00:00	pyropunk	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2016-02-23T16:29:18	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.029	-	-
2009-01-28T00:30:00	Sturle Sunde	ginjtje.ifi	2⁶⁰	2⁶¹		-	-	0.058	-	-
2012-06-09T12:43:00	Grant McCracken	home	2⁶¹	2⁶²		-	-	0.116	-	-
2013-01-14T11:57:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.371	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.742	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.412	-	-
2016-01-21T23:03:49	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.823	-	-
2017-09-08T08:21:16	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.647	-	-
2019-02-25T14:14:28	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.29	-	-
2021-06-21T08:53:52	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	22.59	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.011 GHz-days
Estimated T-Level:	22.250

Digits	B1	Curves	Complete	FacMiss
20	11000	126 / 100	1.260	28.186%
25	50000	126 / 280	0.450	63.711%

New Calculation Method

Total ECM effort:	13.011 GHz-days
Estimated T-Level:	22.250

Digits	B1	Complete	FacMiss
20	11000	4.065	1.717%
25	50000	0.367	69.257%
30	250000	0.023	97.763%
35	1000000	0.001	99.896%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		125	12.91
50000	5000000	3846670984601247228889	1	0.103

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-01T10:22:00	Matthias Eckoldt	serverSP	50000	5000000						3	0.310
2010-06-29T16:49:00	James Hintz	ryan	50000	5000000						3	0.310
2012-12-24T09:56:00	Jacques MOLNE	Old_faithfull	50000	5000000						3	0.310
2014-11-04T07:14:00	arnaud	srv-630	50000	5000000						3	0.310
2016-01-19T13:16:59	Jason U	Server7	50000	5000000						3	0.310
2016-04-12T17:36:38	jwdenney	johndenney	50000	5000000						3	0.310
2016-09-16T19:09:06	ANONYMOUS	ford7619	50000	5000000						3	0.310
2017-06-30T13:30:55	Bruce	eleven	50000	5000000						3	0.310
2017-11-01T02:45:38	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2018-05-08T07:32:48	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2019-05-06T08:04:54	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2020-07-14T06:48:25	GAN	OSB-02	50000	5000000						3	0.310
2020-07-20T13:45:45	daveward2005	Davy	50000	5000000						3	0.310
2020-08-03T03:26:00	GAN	PG-HP	50000	5000000						3	0.310
2020-08-11T01:37:18	Nesowa	6700T	50000	5000000						3	0.310
2020-08-27T01:03:29	J.R. Allen	lapacer	50000	5000000						7	0.723
2020-09-28T05:06:04	MIS	MIS_Home_Server	50000	5000000						3	0.310
2020-09-29T16:37:45	lycorn	colab_A	50000	5000000						7	0.723
2020-10-26T23:32:31	rextherunt	ice	50000	5000000						7	0.723
2020-11-30T12:51:21	IanGlencross	glenx24	50000	5000000						7	0.723
2021-01-03T02:40:40	Zenzoma	AMD3970X	50000	5000000						7	0.723
2021-02-03T03:10:32	RIHATEC	i7-3770K	50000	5000000						7	0.723
2021-03-03T08:52:09	Zenzoma	AM3700X_1	50000	5000000						7	0.723
2021-04-08T07:09:12	Dylan Delgado	colab	50000	5000000						7	0.723
2021-07-09T08:23:21	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.723
2021-07-31T01:49:44	Jonathan Webb	do-primes-2	50000	5000000						7	0.723
2021-10-26T12:59:56	C.D.B.	i7-6850K	50000	5000000						7	0.723
2021-11-12T07:46:59	daveward2005	MW	50000	5000000	3846670984601247228889	71.704	1	2		1	0.103

date	userid	compid	res64	spent (GHz-days)
1999-04-23T00:00:00	pyropunk	v4_computers	8FE22CF8F3FEAD81	0.204
1999-09-14T00:00:00	ANONYMOUS	v4_computers	8FE22CF8F3FEAD81	0.204
2000-03-08T00:00:00	pyropunk	v4_computers	8FE22CF8F3FEAD81	0.204
2018-07-16T06:58:55	kkmrkkblmbrbk	old	8FE22CF8F3FEAD81	0.204

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 = 2000000, B2 = 50000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 360000, B2 = 3600000 (P-1 stage 2)

B1 = 180000, B2 = 4275000 (P-1 stage 2)

B1 = 360000 (P-1 stage 1)

B1 = 206385 (P-1 stage 1)

B1 = 180000 (P-1 stage 1)

B1 = 171988 (P-1 stage 1)

B1 = 30000, B2 = 420000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

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