M2 047 699 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁰	116.6923	70.0000%	15400000	47011244280	245.5764	15.2203%	362.2686	74.5661%
Target	2⁶²	0.3000	66.1290%	9000	960000	0.0058	1.3300%	0.3058	66.5795%
Difference	+8	+116.3922	+3.8710%	+15391000	+47010284280	+245.5706	+13.8903%	+361.9628	+7.9866%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2047699	106304927301013681358849991827636315328001	42	136.287	25957166385541449538933698709536000 2⁸ × 3 × 5³ × 131 × 569 × 1201 × 109847 × 1150073 × 23908144399	2023-08-26	1150073	23908144399	8.102e+10	124.29	231.94

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	166345	166345		-		-	-	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%
2019-08-05	mikr	MSI	4000000	200000000	12	-		-	-	1.399	-	-	7.476%
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	-	-	11.521%
2023-08-26	Sid & Andy	Speck	15400000	47011244280			106304927301013681358849991827636315328001	42	136.287	245.6	0.269	491.2	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	-	-
1999-01-29	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.056	-	-
2009-01-03	Sturle Sunde	gonzo.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		-	-	7.299	-	-
2019-03-23	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.60	-	-
2021-08-16	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	29.19	-	-
2023-02-01	Architects Cubed	GPU72_TF	2⁶⁹	2⁷⁰		-	-	58.39	-	-

ECM factoring results:

Total ECM effort:	17.203 GHz-days
Estimated T-Level:	23.595

Digits	B1	Complete	FacMiss
20	11000	7.759	0.043%
25	50000	0.719	48.722%
30	250000	0.045	95.556%
35	1000000	0.002	99.787%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		200	16.97
76620	23259610		1	0.237

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-14	Matthias Wurtinger	WUR_E6600	50000	5000000						3	0.254
2009-10-18	JimBa	CIT3srvr	50000	5000000						3	0.254
2011-04-03	James Hintz	ryan	50000	5000000						3	0.254
2013-03-04	Donna Noble	opt4820	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
2017-06-25	Bruce	Desk6	50000	5000000						3	0.254
2017-11-30	Lelikoid	QH	50000	5000000						3	0.254
2018-04-05	Bruce	Desk6	50000	5000000						3	0.254
2018-09-25	Bruce	Desk6	50000	5000000						3	0.254
2019-12-29	Claude Portenier	Petit-Idiot	50000	5000000						3	0.254
2019-12-30	Keysarecool	Boat_Anchor	50000	5000000						3	0.254
2020-01-04	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.254
2020-01-15	Yxinity	Olga	50000	5000000						3	0.254
2020-01-19	Alvin Bunk	BADCAT	50000	5000000						3	0.254
2020-01-25	daveward2005	MW	50000	5000000						3	0.254
2020-02-02	EricP	Cannonfodder	50000	5000000						3	0.254
2020-02-13	Claude Portenier	Petit-Idiot	50000	5000000						3	0.254
2020-02-18	IanGlencross	glenx24	50000	5000000						3	0.254
2020-02-25	mnd9	colab	50000	5000000						3	0.254
2020-03-04	Nesowa	entropy_generator_2	50000	5000000						3	0.254
2020-03-09	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.254
2020-03-17	MarkS	laptop64	50000	5000000						3	0.254
2020-03-27	Keysarecool	HPLaptop	50000	5000000						3	0.254
2020-04-08	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.254
2020-04-21	mnd9	office2	50000	5000000						3	0.254
2020-04-29	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.254
2020-05-11	nordi	sweet16	50000	5000000						3	0.254
2020-05-23	mnd9	75203	50000	5000000						3	0.254
2020-06-13	Leo Custodio	GCP-013	50000	5000000						3	0.254
2020-06-27	nordi	sweet16	50000	5000000						3	0.254
2020-07-04	mnd9	libproj	50000	5000000						3	0.254
2020-07-11	mnd9	libproj	50000	5000000						3	0.254
2020-07-16	GAN	LMS-01	50000	5000000						3	0.254
2020-07-22	GAN	LMS-15	50000	5000000						3	0.254
2020-07-30	rextherunt	ice	50000	5000000						3	0.254
2020-08-06	daveward2005	Dave2	50000	5000000						3	0.254
2020-08-14	GAN	LMS-17	50000	5000000						3	0.254
2020-09-07	daveward2005	Dave2	50000	5000000						7	0.594
2020-10-09	mnd9	75211backdoor	50000	5000000						7	0.594
2020-11-05	mnd9	27016b	50000	5000000						7	0.594
2020-11-07	Bruno Victal	Manual testing	76620	23259610						1	0.237
2020-12-22	daveward2005	Dave2	50000	5000000						7	0.594
2021-01-22	IanGlencross	glenx24	50000	5000000						7	0.594
2021-02-20	C.D.B.	i7-6850K	50000	5000000						7	0.594
2021-03-23	MarkS	laptop64	50000	5000000						11	0.933
2021-06-03	daveward2005	Dave2	50000	5000000						7	0.594
2021-07-13	Claude Portenier	Petit-Idiot	50000	5000000						7	0.594
2021-08-29	fbaur	ubuntu	50000	5000000						7	0.594

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Richard Larson		274AE8C6AA73AEF6	0.135
1999-02-14	ANONYMOUS	v4_computers	274AE8C6AA73AEF6	0.135
2016-07-15	Mark Rose	raphael	274AE8C6AA73AEF6	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 = 166345 (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