M2079997 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	2⁶⁸	28.6562	69.1176%	2500000	125000000	0.8746	7.8908%	29.5309	71.5545%	2.4369%
PrimeNet	2⁵⁸	0.0185	63.7931%	9000	160000	0.0016	2.6729%	0.0201	64.7609%	0.9678%
GPU72	2⁶²	0.2954	66.1290%	9000	140000	0.0015	1.3989%	0.2969	66.6028%	0.4738%
Difference	+6	+28.3609	+2.9886%	+2491000	+124860000	+0.8731	+6.4919%	+29.2340	+4.9517%	+4.9517%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2079997	64859755620456769500943	23	75.780	15591309896229843 3 × 53 × 28517 × 3438599881	2020-06-01	28517	3438599881	4,971.2	17.864	33.359

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-27T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.223%
2009-07-25T17:06:00	harlee	P4_2600	20000	260000		-		-	-	0.003	-	-	0.875%
2010-12-28T02:15:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.351%
2011-01-07T22:30:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.509%
2011-01-21T18:42:00	James Heinrich	Q6600	135000	3105000		-		-	-	0.028	-	-	2.763%
2016-07-17T03:53:35	Jocelyn Larouche	Manual testing	182443	6210000	12	-		-	-	0.049	-	-	3.386%
2016-11-04T12:39:34	Jocelyn Larouche	low 4M	218931	218931		-		-	-	0.021	-	-	1.225%
2016-11-06T00:28:16	Jocelyn Larouche	low 4M	262717	262717		-		-	-	0.025	-	-	1.342%
2016-11-11T16:54:50	Jocelyn Larouche	low 4M	315260	315260		-		-	-	0.030	-	-	1.466%
2017-03-27T11:13:53	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.891%
2017-05-13T16:00:17	Jocelyn Larouche	low 4M	390312	3903120	6	-		-	-	0.055	-	-	3.411%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:05	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.055	-	-
2009-01-03T08:38:00	Sturle Sunde	interavia.ifi	2⁶⁰	2⁶¹		-	-	0.074	-	-
2012-03-17T12:47:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.148	-	-
2013-09-02T08:36:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.472	-	-
2015-03-31T15:56:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.944	-	-
2015-03-31T15:56:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.796	-	-
2015-11-05T09:47:17	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.593	-	-
2016-09-14T10:22:37	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.185	-	-
2019-04-01T03:15:21	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.37	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	7.989 GHz-days
Estimated T-Level:	4.700

Digits	B1	Curves	Complete	FacMiss
20	11000	94 / 100	0.940	38.878%
25	50000	94 / 280	0.336	71.440%

New Calculation Method

Total ECM effort:	7.989 GHz-days
Estimated T-Level:	4.700

Digits	B1	Complete	FacMiss
20	11000	3.032	4.821%
25	50000	0.274	76.029%
30	250000	0.017	98.327%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		93	7.904
50000	5000000	64859755620456769500943	1	0.085

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-09T06:08:00	mdrg	MDRG02	50000	5000000						3	0.255
2009-11-02T08:59:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.255
2011-05-13T10:30:00	James Hintz	ryan	50000	5000000						3	0.255
2013-04-11T04:40:00	Donna Noble	opt4820	50000	5000000						3	0.255
2014-08-18T18:44:00	he4var		50000	5000000						3	0.255
2015-07-24T19:30:00	guru	w6	50000	5000000						3	0.255
2016-02-20T14:28:08	Bruce	Desk8	50000	5000000						3	0.255
2016-05-20T13:28:31	James P McMillan	caturday	50000	5000000						3	0.255
2016-07-26T00:31:22	Bruce	test	50000	5000000						3	0.255
2017-01-09T12:48:57	Bruce	Desk6	50000	5000000						3	0.255
2017-07-27T12:38:31	Bruce	Desk6	50000	5000000						3	0.255
2017-12-21T18:10:00	Bruce	Desk6	50000	5000000						3	0.255
2018-05-13T23:54:36	Bruce	Desk6	50000	5000000						3	0.255
2018-10-13T15:29:12	storm5510	7700_Kaby_Lake	50000	5000000						3	0.255
2020-01-02T14:39:46	Sergey Nosov	TS140-02	50000	5000000						3	0.255
2020-01-08T07:07:43	Nesowa	6700T	50000	5000000						3	0.255
2020-01-16T22:06:56	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.255
2020-01-22T00:23:06	IanGlencross	glenx24	50000	5000000						3	0.255
2020-02-06T20:37:16	Keysarecool	Boat_Anchor	50000	5000000						3	0.255
2020-02-07T05:06:38	Nesowa	6700T	50000	5000000						3	0.255
2020-02-15T00:33:56	mnd9	75201b	50000	5000000						3	0.255
2020-02-22T06:28:53	IanGlencross	glenx24	50000	5000000						3	0.255
2020-02-29T01:15:07	Sergey Nosov	TS140-02	50000	5000000						3	0.255
2020-03-06T04:41:42	EricP	Cannonfodder	50000	5000000						3	0.255
2020-03-13T11:13:18	Keysarecool	Boat_Anchor	50000	5000000						3	0.255
2020-03-21T04:18:20	Keysarecool	Boat_Anchor	50000	5000000						3	0.255
2020-04-02T10:13:35	mnd9	fb	50000	5000000						3	0.255
2020-04-17T23:09:59	mnd9	colab	50000	5000000						3	0.255
2020-04-25T17:43:29	mnd9	office2	50000	5000000						3	0.255
2020-05-04T05:15:51	mnd9	libproj	50000	5000000						3	0.255
2020-05-15T11:41:17	daveward2005	Davy	50000	5000000						3	0.255
2020-06-02T02:06:24	mnd9	25836b	50000	5000000	64859755620456769500943	75.780	1	2	7904449624142714	1	0.085

date	userid	compid	res64	spent (GHz-days)
1999-01-29T00:00:00	ANONYMOUS	v4_computers	695641333A4711C6	0.137
2017-06-06T17:09:08	kkmrkkblmbrbk	c4.large	695641333A4711C6	0.137

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 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 390312, B2 = 3903120 (P-1 stage 2)

B1 = 182443, B2 = 6210000 (P-1 stage 2)

B1 = 390312 (P-1 stage 1)

B1 = 315260 (P-1 stage 1)

B1 = 135000, B2 = 3105000 (P-1 stage 2)

B1 = 262717 (P-1 stage 1)

B1 = 218931 (P-1 stage 1)

B1 = 182443 (P-1 stage 1)

B1 = 135000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 20000, B2 = 260000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

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