M2 047 813 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁰	116.6858	70.0000%	15400000	47011244280	245.5764	15.2203%	362.2621	74.5661%
Target	2⁶²	0.3000	66.1290%	9000	600000	0.0039	1.3300%	0.3039	66.5795%
Difference	+8	+116.3858	+3.8710%	+15391000	+47010644280	+245.5724	+13.8903%	+361.9582	+7.9866%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-04-28	Jocelyn Larouche	v4_computers	1000	1000		-		-	-	9.53375e-5	-	-	0.003%
2002-05-05	Jocelyn Larouche	v4_computers	2000	2000		-		-	-	0.000	-	-	0.010%
2003-01-16	ANONYMOUS	v4_computers	25000	425000		-		-	-	0.004	-	-	0.810%
2010-12-28	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.250%
2011-01-04	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.371%
2012-01-05	Squeeky_Squirrel	P4_2600	135000	2868750		-		-	-	0.027	-	-	2.144%
2014-10-22	Jocelyn Larouche	Manual testing	166343	166343		-		-	-	0.016	-	-	0.806%
2015-10-06	Bruno Victal	4790K-windows	500000	15000000	12	-		-	-	0.123	-	-	3.828%
2019-07-01	BigBrother	Winston	1000000	20000000	12	-		-	-	0.194	-	-	4.413%
2019-08-06	mikr	MSI	4000000	200000000	12	-		-	-	1.399	-	-	7.477%
2023-01-27	Jocelyn Larouche	Manual testing	1000000	710870160		-		-	-	3.783	-	-	7.661%
2023-02-18	Jocelyn Larouche	Manual testing	1000000	17867918250		-		-	-	92.90	-	-	10.826%
2023-03-18	Jocelyn Larouche	Manual testing	1000000	35735888370		-		-	-	185.7	-	-	11.522%
2023-08-26	Sid & Andy	Speck	15400000	47011244280		-		-	-	245.6	-	-	15.220%

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		-	-	0.019	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.056	-	-
2009-01-02	Sturle Sunde	goomba.ifi	2⁶⁰	2⁶¹		-	-	0.075	-	-
2012-02-28	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.150	-	-
2013-08-30	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.479	-	-
2015-04-13	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.959	-	-
2015-04-13	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.825	-	-
2015-11-02	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.649	-	-
2016-08-10	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.298	-	-
2019-03-23	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.60	-	-
2021-08-16	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	29.19	-	-
2023-01-25	Architects Cubed	GPU72_TF	2⁶⁹	2⁷⁰		-	-	58.39	-	-

ECM factoring results:

Total ECM effort:	22.632 GHz-days
Estimated T-Level:	24.734

Digits	B1	Complete	FacMiss
20	11000	10.221	0.004%
25	50000	0.947	38.798%
30	250000	0.060	94.193%
35	1000000	0.003	99.720%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		264	22.39
76620	23259610		1	0.237

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-06	firehawk	cidnp2	50000	5000000						3	0.254
2009-10-20	SubPrime	abd0	50000	5000000						3	0.254
2011-04-03	rduerr	r40_16	50000	5000000						3	0.254
2013-03-03	Donna Noble	PH2x6	50000	5000000						3	0.254
2014-03-22	Bruce	snowflake	50000	5000000						3	0.254
2015-07-10	guru	w6	50000	5000000						3	0.254
2016-02-19	Sintax	cloud	50000	5000000						3	0.254
2016-05-02	Jason U	Server7	50000	5000000						3	0.254
2016-07-16	Bruce	test	50000	5000000						3	0.254
2016-12-11	Bruce	Desk6	50000	5000000						3	0.254
2017-06-26	Bruce	Desk6	50000	5000000						3	0.254
2017-11-26	Bruce	Desk6	50000	5000000						3	0.254
2018-04-05	Bruce	Desk6	50000	5000000						3	0.254
2018-09-26	Bruce	Desk6	50000	5000000						3	0.254
2019-12-25	Keysarecool	HPLaptop	50000	5000000						3	0.254
2019-12-30	MarkS	desktop-i7	50000	5000000						3	0.254
2020-01-04	TheJudger	myECM	50000	5000000						3	0.254
2020-01-12	Sergey Nosov	TS140-02	50000	5000000						3	0.254
2020-01-19	IEFBR14	MK1	50000	5000000						3	0.254
2020-02-02	Keysarecool	HPLaptop	50000	5000000						3	0.254
2020-02-13	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.254
2020-02-18	mnd9	office2	50000	5000000						3	0.254
2020-02-25	Keysarecool	i9	50000	5000000						3	0.254
2020-03-03	MarkS	laptop64	50000	5000000						3	0.254
2020-03-09	mnd9	50869b	50000	5000000						3	0.254
2020-03-17	Keysarecool	Boat_Anchor	50000	5000000						3	0.254
2020-03-25	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.254
2020-03-25	mnd9	221Rb	50000	5000000						3	0.254
2020-04-08	EricP	Cannonfodder	50000	5000000						3	0.254
2020-04-21	nordi	sweet16	50000	5000000						3	0.254
2020-04-29	mnd9	fb	50000	5000000						3	0.254
2020-05-09	MarkS	desktop-i7	50000	5000000						3	0.254
2020-05-23	daveward2005	Davy	50000	5000000						3	0.254
2020-06-12	GAN	KL-SCH04	50000	5000000						3	0.254
2020-06-26	GAN	LMS-02	50000	5000000						3	0.254
2020-07-04	GAN	LMS-10	50000	5000000						3	0.254
2020-07-11	GAN	OSK-L2	50000	5000000						3	0.254
2020-07-16	GAN	LMS-15	50000	5000000						3	0.254
2020-07-28	AnthonyRais	Main	50000	5000000						150	12.72
2020-11-07	Bruno Victal	Manual testing	76620	23259610						1	0.237

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Richard Larson		D5CBE106AD04DA4C	0.135
1999-03-15	ANONYMOUS	v4_computers	D5CBE106AD04DA4C	0.135
2016-07-15	Mark Rose	donatello	D5CBE106AD04DA4C	0.135

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 = 15400000, B2 = 47011244280 (P-1 stage 2)

B1 = 1000000, B2 = 35735888370 (P-1 stage 2)

B1 = 1000000, B2 = 17867918250 (P-1 stage 2)

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

B1 = 15400000 (P-1 stage 1)

B1 = 4000000, B2 = 200000000 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 1000000, B2 = 20000000 (P-1 stage 2)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 500000 (P-1 stage 1)

B1 = 135000, B2 = 2868750 (P-1 stage 2)

B1 = 166343 (P-1 stage 1)

B1 = 135000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 25000, B2 = 425000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

B1 = 25000 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

B1 = 1000 (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