M2982277 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	40.0321	68.1159%	3000000	90000000	0.9552	7.2656%	40.9873	70.4325%	2.3166%
PrimeNet	2⁶⁰	0.0515	63.3333%	12000	220000	0.0029	2.5124%	0.0544	64.2545%	0.9212%
GPU72	2⁶⁴	1.1935	65.6250%	13000	200000	0.0029	1.3853%	1.1964	66.1012%	0.4762%
Difference	+5	+38.8386	+2.4909%	+2987000	+89800000	+0.9523	+5.8803%	+39.7909	+4.3313%	+4.3313%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2982277	1589713394487003252415913	25	80.395	266526783810994628 2² × 23 × 2897030258815159	2021-05-07	23	2897030258815159	150,494	19,478,988	36,381,324

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	-	-	0.199%
2003-12-23T00:00:00	Team Prime Rib	v4_computers	10000	10000		-		-	-	0.001	-	-	0.120%
2010-10-25T06:24:00	markr	tiny	100000	2025000		-		-	-	0.025	-	-	2.213%
2016-06-18T23:47:20	Jocelyn Larouche	Manual testing	198400	4050000	6	-		-	-	0.050	-	-	2.953%
2017-07-10T01:11:31	Jocelyn Larouche	low 4M	396800	3968000	6	-		-	-	0.073	-	-	3.242%
2019-10-15T03:42:07	BigBrother	Winston	3000000	90000000	12	-		-	-	0.955	-	-	7.266%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-08-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.052	-	-
2009-02-13T17:03:00	Sturle Sunde	gorilla.ifi	2⁶⁰	2⁶¹		-	-	0.052	-	-
2011-11-25T05:33:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.103	-	-
2013-01-07T13:51:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.329	-	-
2015-04-13T19:44:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	0.658	-	-
2015-04-13T19:44:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.253	-	-
2016-02-27T17:18:48	omylist	Manual testing	2⁶⁵	2⁶⁶		-	-	2.506	-	-
2017-12-03T16:23:26	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.011	-	-
2018-12-27T01:47:29	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	10.02	-	-
2021-05-04T12:14:29	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	20.05	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	8.005 GHz-days
Estimated T-Level:	3.450

Digits	B1	Curves	Complete	FacMiss
20	11000	69 / 100	0.690	49.984%
25	50000	69 / 280	0.246	78.124%

New Calculation Method

Total ECM effort:	8.005 GHz-days
Estimated T-Level:	3.450

Digits	B1	Complete	FacMiss
20	11000	2.654	7.038%
25	50000	0.246	78.227%
30	250000	0.015	98.463%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		64	7.425
50000	5000000	1589713394487003252415913	5	0.580

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-02T14:11:00	James Hintz	16_060209	50000	5000000						3	0.348
2011-05-08T17:41:00	sannerud.com	Jim2010	50000	5000000						3	0.348
2013-08-01T05:13:00	Youcef L	breitner	50000	5000000						3	0.348
2016-01-11T03:47:36	Bruce	Desk7	50000	5000000						3	0.348
2017-07-02T17:44:27	Bruce	Desk10	50000	5000000						3	0.348
2020-09-14T06:22:52	IanGlencross	glenx24	50000	5000000						7	0.812
2020-10-14T10:03:32	MarkS	desktop-i7	50000	5000000						7	0.812
2020-11-15T00:05:20	rextherunt	ice	50000	5000000						7	0.812
2020-12-21T21:05:24	pavlp	puputer	50000	5000000						7	0.812
2021-01-23T18:13:40	Claude Portenier	Petit-Idiot	50000	5000000						7	0.812
2021-02-19T13:20:38	daveward2005	Dave2	50000	5000000						7	0.812
2021-03-22T12:25:49	mnd9	office2	50000	5000000						7	0.812
2021-05-07T15:58:29	Zenzoma	AMD3970X	50000	5000000	1589713394487003252415913	80.395	5	2	7976406722684672	5	0.580

date	userid	compid	res64	spent (GHz-days)
1998-01-13T00:00:00	JC	v4_computers	E0FCF6436F9BB5D2	0.254
2015-11-14T06:50:00	MadPoo	Manual testing	E0FCF6436F9BB5D2	0.254

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 = 396800, B2 = 3968000 (P-1 stage 2)

B1 = 198400, B2 = 4050000 (P-1 stage 2)

B1 = 396800 (P-1 stage 1)

B1 = 100000, B2 = 2025000 (P-1 stage 2)

B1 = 198400 (P-1 stage 1)

B1 = 100000 (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