M2997959 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	39.8227	68.1159%	3000000	90000000	0.9552	7.2695%	40.7779	70.4337%	2.3178%
PrimeNet	2⁶⁰	0.0512	63.3333%	12000	220000	0.0029	2.5148%	0.0541	64.2554%	0.9221%
GPU72	2⁶⁴	1.1873	65.6250%	13000	200000	0.0029	1.3867%	1.1901	66.1017%	0.4767%
Difference	+5	+38.6354	+2.4909%	+2987000	+89800000	+0.9523	+5.8827%	+39.5878	+4.3320%	+4.3320%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2997959	10546369624797710654999573431	29	93.091	1758924926057646327885 3 × 5 × 31 × 1111559711 × 3402996899	2021-08-26	1111559711	3402996899	1.023e+9	152.59	279.18

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-12-13T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.002	-	-	0.200%
2003-12-23T00:00:00	Team Prime Rib	v4_computers	10000	10000		-		-	-	0.001	-	-	0.120%
2010-10-20T01:01:00	markr	tiny	110000	2392500		-		-	-	0.029	-	-	2.350%
2016-09-13T03:53:08	Jocelyn Larouche	low 4M	150000	2631750	6	-		-	-	0.035	-	-	2.550%
2016-09-21T12:09:22	Jocelyn Larouche	low 4M	150000	2894925		-		-	-	0.037	-	-	2.608%
2016-10-07T05:48:08	Jocelyn Larouche	low 4M	150000	15000000	12	-		-	-	0.118	-	-	3.650%
2016-12-16T17:35:06	Jocelyn Larouche	low 4M	180000	180000		-		-	-	0.022	-	-	1.032%
2016-12-24T02:28:34	Jocelyn Larouche	low 4M	216000	216000		-		-	-	0.027	-	-	1.136%
2017-03-03T01:10:47	Jocelyn Larouche	low 4M	311040	3110400	6	-		-	-	0.057	-	-	2.968%
2017-04-01T09:06:05	Jocelyn Larouche	low 4M	373248	3732480	6	-		-	-	0.069	-	-	3.173%
2017-04-04T20:17:32	Jocelyn Larouche	low 4M	447897	4478970	6	-		-	-	0.082	-	-	3.386%
2017-04-07T19:41:21	Jocelyn Larouche	low 4M	537476	5374760	6	-		-	-	0.099	-	-	3.605%
2017-04-13T02:13:56	Jocelyn Larouche	low 4M	644971	6449710	12	-		-	-	0.119	-	-	3.831%
2019-11-29T18:08:20	BigBrother	Winston	3000000	90000000	12	-		-	-	0.955	-	-	7.269%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.051	-	-
1999-08-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.051	-	-
2009-02-13T22:45:00	Sturle Sunde	klengel.ifi	2⁶⁰	2⁶¹		-	-	0.051	-	-
2011-11-26T05:31:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.102	-	-
2013-01-07T13:51:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.327	-	-
2015-02-01T14:25:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	0.655	-	-
2015-02-01T14:25:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.246	-	-
2016-02-24T09:33:34	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.493	-	-
2017-12-07T01:23:29	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	4.985	-	-
2018-12-30T14:49:37	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	9.97	-	-
2021-04-15T09:04:55	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	19.94	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.995 GHz-days
Estimated T-Level:	4.250

Digits	B1	Curves	Complete	FacMiss
20	11000	85 / 100	0.850	42.559%
25	50000	85 / 280	0.304	73.778%

New Calculation Method

Total ECM effort:	9.995 GHz-days
Estimated T-Level:	4.250

Digits	B1	Complete	FacMiss
20	11000	2.758	6.345%
25	50000	0.250	77.915%
30	250000	0.015	98.474%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		73	8.477
50000	5000000	10546369624797710654999573431	5	0.581
50000	6750000		7	0.938

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-06-07T23:18:00	piero za	LINATE	50000	5000000						3	0.348
2011-05-22T21:42:00	GrunwalderGIMP	vangelis	50000	5000000						3	0.348
2013-08-17T21:06:00	Richard Kint	xps	50000	5000000						3	0.348
2016-01-15T12:20:21	Bruce	Desk10	50000	5000000						3	0.348
2017-07-20T16:55:00	bayanne	iMac	50000	5000000						3	0.348
2020-09-21T21:21:39	LaurV	debilis	50000	5000000						7	0.813
2020-10-16T10:20:44	Albrecht Heeffer	R7-3800X	50000	5000000						7	0.813
2020-11-17T10:31:42	MarkS	laptop64	50000	5000000						7	0.813
2020-12-24T19:25:10	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.813
2021-01-07T02:47:33	Cork	Manual testing	50000	5000000						7	0.813
2021-01-23T23:53:31	Peredron	Peredron	50000	5000000						1	0.116
2021-01-28T09:53:53	Peredron	Peredron	50000	5000000						1	0.116
2021-02-27T12:23:46	Zenzoma	AM3700X_1	50000	5000000						7	0.813
2021-05-15T03:58:36	Denis Porva	Yrok	50000	5000000						7	0.813
2021-06-04T08:58:07	lycorn	colab_DG	50000	6750000						7	0.938
2021-07-10T05:17:12	Yizhe Huang	clb2	50000	5000000						7	0.813
2021-08-26T08:51:09	daveward2005	d12436	50000	5000000	10546369624797710654999573431	93.091	5	2	2947513392369931	5	0.581

date	userid	compid	res64	spent (GHz-days)
1999-06-15T00:00:00	ANONYMOUS	v4_computers	8EE6FF2D43B3C6D6	0.255
2018-10-24T05:11:38	kkmrkkblmbrbk	old	8EE6FF2D43B3C6D6	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 = 644971, B2 = 6449710 (P-1 stage 2)

B1 = 150000, B2 = 15000000 (P-1 stage 2)

B1 = 537476, B2 = 5374760 (P-1 stage 2)

B1 = 447897, B2 = 4478970 (P-1 stage 2)

B1 = 644971 (P-1 stage 1)

B1 = 373248, B2 = 3732480 (P-1 stage 2)

B1 = 537476 (P-1 stage 1)

B1 = 311040, B2 = 3110400 (P-1 stage 2)

B1 = 447897 (P-1 stage 1)

B1 = 373248 (P-1 stage 1)

B1 = 311040 (P-1 stage 1)

B1 = 150000, B2 = 2894925 (P-1 stage 2)

B1 = 150000, B2 = 2631750 (P-1 stage 2)

B1 = 110000, B2 = 2392500 (P-1 stage 2)

B1 = 216000 (P-1 stage 1)

B1 = 180000 (P-1 stage 1)

B1 = 150000 (P-1 stage 1)

B1 = 110000 (P-1 stage 1)

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

B1 = 10000 (P-1 stage 1)

B1 = 2048 (P-1 stage 1)

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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