M2992973 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	39.8890	68.1159%	3000000	90000000	0.9552	7.2682%	40.8442	70.4334%	2.3174%
PrimeNet	2⁶⁰	0.0513	63.3333%	12000	220000	0.0029	2.5140%	0.0542	64.2551%	0.9218%
GPU72	2⁶⁴	1.1892	65.6250%	13000	200000	0.0029	1.3863%	1.1921	66.1015%	0.4765%
Difference	+5	+38.6998	+2.4909%	+2987000	+89800000	+0.9523	+5.8819%	+39.6521	+4.3318%	+4.3318%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2992973	7453131443781634559303	22	72.658	1245105024967087 67 × 18583657089061	2021-10-31	67	18583657089061	440.37	124,952	233,376

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-03-22T00:00:00	ANONYMOUS	v4_computers	15000	165000		-		-	-	0.003	-	-	0.627%
2010-11-03T08:49:00	Oscar Östlin		30000	427500		-		-	-	0.006	-	-	1.075%
2011-01-29T18:15:00	markr	tiny	110000	2420000		-		-	-	0.029	-	-	2.356%
2016-09-15T03:47:43	Jocelyn Larouche	low 4M	142000	2662000	6	-		-	-	0.034	-	-	2.531%
2016-09-21T12:09:18	Jocelyn Larouche	low 4M	142000	2928200		-		-	-	0.036	-	-	2.588%
2016-09-22T12:02:45	Jocelyn Larouche	low 4M	142000	3221020		-		-	-	0.038	-	-	2.645%
2016-12-24T02:28:29	Jocelyn Larouche	low 4M	204480	204480		-		-	-	0.025	-	-	1.104%
2017-02-25T21:07:59	Jocelyn Larouche	low 4M	294451	2944510	6	-		-	-	0.054	-	-	2.906%
2017-10-04T07:45:22	Jocelyn Larouche	low 4M	588902	5889020	6	-		-	-	0.108	-	-	3.716%
2019-12-01T03:38:29	BigBrother	Winston	3000000	90000000	12	-		-	-	0.955	-	-	7.268%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.051	-	-
2009-02-12T18:47:00	Sturle Sunde	ghia.ifi	2⁶⁰	2⁶¹		-	-	0.051	-	-
2011-11-24T19:06:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.103	-	-
2013-01-07T13:51:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.328	-	-
2015-02-04T08:01:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	0.656	-	-
2015-02-04T08:02:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.248	-	-
2016-02-24T09:33:32	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.497	-	-
2017-12-07T01:23:27	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	4.994	-	-
2018-12-28T09:55:52	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	9.99	-	-
2021-04-21T11:48:38	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	19.97	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.891 GHz-days
Estimated T-Level:	4.600

Digits	B1	Curves	Complete	FacMiss
20	11000	92 / 100	0.920	39.668%
25	50000	92 / 280	0.329	71.953%

New Calculation Method

Total ECM effort:	10.891 GHz-days
Estimated T-Level:	4.600

Digits	B1	Complete	FacMiss
20	11000	3.577	2.796%
25	50000	0.331	71.831%
30	250000	0.021	97.932%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		80	9.287
50000	6700000	7453131443781634559303	5	0.667
50000	6750000		7	0.937

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-06T04:33:00	alan145	Bear4	50000	5000000						3	0.348
2011-05-20T17:57:00	Pool Party	desk_1	50000	5000000						3	0.348
2013-08-10T19:00:00	Bruce	fx6840-21	50000	5000000						3	0.348
2016-01-14T01:57:19	Bruce	Desk7	50000	5000000						3	0.348
2017-07-16T06:16:06	Lelikoid	QH	50000	5000000						3	0.348
2020-09-15T00:50:45	MarkS	desktop-i7	50000	5000000						7	0.813
2020-10-16T04:43:07	nordi	sweet16	50000	5000000						7	0.813
2020-11-19T04:43:22	LaurV	debilis	50000	5000000						7	0.813
2020-12-24T00:43:26	RIHATEC	i7-3770K	50000	5000000						7	0.813
2021-01-07T02:47:53	Cork	Manual testing	50000	5000000						7	0.813
2021-01-23T22:04:32	Peredron	Peredron	50000	5000000						1	0.116
2021-01-28T00:37:51	Peredron	Peredron	50000	5000000						1	0.116
2021-02-25T06:46:03	Zenzoma	AM3700X_1	50000	5000000						7	0.813
2021-03-31T19:21:03	C.D.B.	i7-6850K	50000	5000000						7	0.813
2021-05-16T15:27:30	Brett Walker	brain	50000	5000000						7	0.813
2021-07-01T22:54:58	tottenhoff	Garage-Band-003	50000	5000000						7	0.813
2021-08-17T05:51:07	kutens	ryzen3	50000	6750000						7	0.937
2021-10-31T18:29:29	kutens	spica	50000	6700000	7453131443781634559303	72.658	5	2	4451233675175446	5	0.667

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-06-28T00:00:00	Filen	v4_computers	520FE4A208BB06__	0.255
1999-05-16T00:00:00	ANONYMOUS	v4_computers	E9D464EB67B58B0B	0.255
2000-05-05T00:00:00	ANONYMOUS	v4_computers	E9D464EB67B58B0B	0.255
2001-03-25T00:00:00	ANONYMOUS	v4_computers	E9D464EB67B58B0B	0.255
2018-10-22T21:43:01	kkmrkkblmbrbk	old	E9D464EB67B58B0B	0.255

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 = 3000000, B2 = 90000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 588902, B2 = 5889020 (P-1 stage 2)

B1 = 588902 (P-1 stage 1)

B1 = 294451, B2 = 2944510 (P-1 stage 2)

B1 = 142000, B2 = 3221020 (P-1 stage 2)

B1 = 294451 (P-1 stage 1)

B1 = 142000, B2 = 2928200 (P-1 stage 2)

B1 = 142000, B2 = 2662000 (P-1 stage 2)

B1 = 110000, B2 = 2420000 (P-1 stage 2)

B1 = 204480 (P-1 stage 1)

B1 = 142000 (P-1 stage 1)

B1 = 110000 (P-1 stage 1)

B1 = 30000, B2 = 427500 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

B1 = 15000, B2 = 165000 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10⁰

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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