M2 081 473 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁹	57.3569	69.5652%	14300000	48385326990	252.6145	16.1331%	309.9714	74.4753%
Target	2⁶²	0.2952	66.1290%	9000	700000	0.0044	1.3991%	0.2996	66.6029%
Difference	+7	+57.0617	+3.4362%	+14291000	+48384626990	+252.6101	+14.7340%	+309.6718	+7.8724%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2081473	627364683290446366600098779256037775521	39	128.883	150702094932397962068232155607120 2⁴ × 3² × 5 × 193 × 1103 × 4567 × 34127 × 8825447 × 714805913	2023-08-19	8825447	714805913	7.770e+10	4.5084	6.9346

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-27	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.179%
2009-07-25	harlee	P4_2600	20000	260000		-		-	-	0.003	-	-	0.751%
2010-12-28	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.297%
2011-01-07	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.435%
2011-01-22	James Heinrich	Q6600	135000	3105000		-		-	-	0.028	-	-	2.462%
2016-07-17	Jocelyn Larouche	Manual testing	182419	6210000	12	-		-	-	0.049	-	-	3.034%
2016-11-04	Jocelyn Larouche	low 4M	218902	218902		-		-	-	0.021	-	-	1.075%
2016-11-06	Jocelyn Larouche	low 4M	262682	262682		-		-	-	0.025	-	-	1.181%
2016-11-11	Jocelyn Larouche	low 4M	315218	315218		-		-	-	0.030	-	-	1.294%
2017-04-01	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.267%
2017-05-13	Jocelyn Larouche	low 4M	390261	3902610	6	-		-	-	0.055	-	-	3.072%
2023-01-18	Jocelyn Larouche	Manual testing	1000000	710870160		-		-	-	3.783	-	-	8.348%
2023-03-17	Jocelyn Larouche	Manual testing	1000000	2049006960		-		-	-	10.73	-	-	9.433%
2023-07-07	Joss	Joss	1000000	4725280560		-		-	-	24.63	-	-	10.300%
2023-08-19	Sid & Andy	Hockey_Puck	14300000	48385326990			627364683290446366600098779256037775521	39	128.883	252.6	0.274	505.2	16.133%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-10	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.055	-	-
2009-01-02	Sturle Sunde	kinner.ifi	2⁶⁰	2⁶¹		-	-	0.074	-	-
2012-03-17	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.148	-	-
2013-09-02	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.472	-	-
2015-03-31	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.943	-	-
2015-03-31	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.795	-	-
2015-11-05	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.590	-	-
2016-09-14	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.180	-	-
2019-04-01	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.36	-	-
2021-08-26	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	28.72	-	-

ECM factoring results:

Total ECM effort:	17.592 GHz-days
Estimated T-Level:	23.668

Digits	B1	Complete	FacMiss
20	11000	7.913	0.037%
25	50000	0.734	48.022%
30	250000	0.046	95.469%
35	1000000	0.002	99.783%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	197	16.75
50000	5150000	7	0.602
76620	24176890	1	0.245

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-20	bladerunner	Nebuchadnezzar	50000	5000000						3	0.255
2009-11-03	SubPrime	mysql0	50000	5000000						3	0.255
2011-05-26	S36049	Wolle5	50000	5000000						3	0.255
2013-04-11	Donna Noble	opt4820	50000	5000000						3	0.255
2014-08-28	Wolfgang Fluck	C91F72025	50000	5000000						3	0.255
2015-07-25	guru	w6	50000	5000000						3	0.255
2016-02-20	Bruce	Desk6	50000	5000000						3	0.255
2016-05-17	Bruce	Desk6	50000	5000000						3	0.255
2016-07-26	Bruce	test	50000	5000000						3	0.255
2017-01-10	Bruce	Desk6	50000	5000000						3	0.255
2017-07-28	Bruce	Desk6	50000	5000000						3	0.255
2017-12-22	Bruce	Desk6	50000	5000000						3	0.255
2018-05-15	Bruce	Desk6	50000	5000000						3	0.255
2018-10-13	storm5510	7700_Kaby_Lake	50000	5000000						3	0.255
2020-01-02	TheJudger	myECM	50000	5000000						3	0.255
2020-01-09	mnd9	27016	50000	5000000						3	0.255
2020-01-16	Bommer	2600X	50000	5000000						3	0.255
2020-01-22	Alvin Bunk	BADCAT	50000	5000000						3	0.255
2020-01-29	IanGlencross	glenx24	50000	5000000						3	0.255
2020-02-08	Alvin Bunk	BADCAT	50000	5000000						3	0.255
2020-02-15	mnd9	libproj	50000	5000000						3	0.255
2020-02-22	mnd9	office2	50000	5000000						3	0.255
2020-02-29	Alvin Bunk	BADCAT	50000	5000000						3	0.255
2020-03-06	mnd9	27016b	50000	5000000						3	0.255
2020-03-14	mnd9	75201b	50000	5000000						3	0.255
2020-03-25	player_3236	Pavilion	50000	5000000						3	0.255
2020-04-17	EricP	Cannonfodder	50000	5000000						3	0.255
2020-04-26	Keysarecool	Boat_Anchor	50000	5000000						3	0.255
2020-04-26	SXS2297	M-Laptop	50000	5000000						3	0.255
2020-05-05	mnd9	50871b	50000	5000000						3	0.255
2020-05-17	mnd9	50871b	50000	5000000						3	0.255
2020-06-03	Keysarecool	HPLaptop	50000	5000000						3	0.255
2020-06-22	IanGlencross	glenx24	50000	5000000						3	0.255
2020-07-01	GAN	OSK-01	50000	5000000						3	0.255
2020-07-08	GAN	GAN-HP	50000	5000000						3	0.255
2020-07-15	mnd9	75203b	50000	5000000						3	0.255
2020-07-22	GAN	KL-SCH09	50000	5000000						3	0.255
2020-07-27	GAN	LMS-15	50000	5000000						3	0.255
2020-08-03	MarkS	desktop-i7	50000	5000000						3	0.255
2020-08-11	GAN	LMS-17	50000	5000000						3	0.255
2020-08-28	mnd9	libproj	50000	5000000						7	0.595
2020-09-30	MarkS	desktop-i7	50000	5000000						7	0.595
2020-10-26	mnd9	75204	50000	5000000						7	0.595
2020-11-09	Bruno Victal	Manual testing	76620	24176890						1	0.245
2020-12-20	rextherunt	ice	50000	5000000						7	0.595
2021-01-20	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.595
2021-02-17	Zenzoma	AM3700X_1	50000	5000000						7	0.595
2021-05-02	Denis Porva	Yrok	50000	5000000						7	0.595
2021-05-18	kutens	canopus	50000	5150000						7	0.602
2021-09-02	mnd9	25836b	50000	5000000						7	0.595
2021-12-15	RIHATEC	i7-3770K	50000	5000000						7	0.595
2021-12-16	daveward2005	Dave2	50000	5000000						7	0.595
2022-01-02	daveward2005	d12436	50000	5000000						7	0.595

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Rhesa Rozendaal		035F007103E03CF4	0.137
1999-02-07	ANONYMOUS	v4_computers	035F007103E03CF4	0.137
2017-06-09	kkmrkkblmbrbk	c4.large	035F007103E03CF4	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 = 14300000, B2 = 48385326990 (P-1 stage 2)

B1 = 1000000, B2 = 4725280560 (P-1 stage 2)

B1 = 1000000, B2 = 2049006960 (P-1 stage 2)

B1 = 1000000, B2 = 710870160 (P-1 stage 2)

B1 = 14300000 (P-1 stage 1)

B1 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

B1 = 390261, B2 = 3902610 (P-1 stage 2)

B1 = 182419, B2 = 6210000 (P-1 stage 2)

B1 = 390261 (P-1 stage 1)

B1 = 315218 (P-1 stage 1)

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

B1 = 262682 (P-1 stage 1)

B1 = 218902 (P-1 stage 1)

B1 = 182419 (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

10⁸

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