M2 133 277 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	224.1051	69.0141%	50000000	2500000000	17.4928	11.4515%	241.5979	72.5624%
Target	2⁶²	0.2880	64.5161%	10000	1200000	0.0071	1.4866%	0.2951	65.0436%
Difference	+9	+223.8171	+4.4980%	+49990000	+2498800000	+17.4857	+9.9649%	+241.3028	+7.5188%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-01-12	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.319%
2011-01-23	James Heinrich	i7-920	140000	3045000		-		-	-	0.028	-	-	1.958%
2016-06-30	Jocelyn Larouche	Manual testing	210000	6090000	12	-		-	-	0.051	-	-	2.492%
2017-08-30	Jocelyn Larouche	low 4M	420000	4200000	6	-		-	-	0.060	-	-	2.560%
2017-09-13	Jocelyn Larouche	low 4M	504000	5040000	6	-		-	-	0.072	-	-	2.742%
2017-09-30	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	6.160%
2021-05-13	ViliamF	Manual testing	50000000	2500000000		-		-	-	17.49	-	-	11.452%
2023-07-20	Joss	Joss	1000000	5983204500		-		-	-	31.17	-	-	9.024%
2023-07-21	Joss	Joss	1000000	12102412140		-		-	-	62.95	-	-	9.690%
2023-07-22	Joss	Joss	1000000	24340827420		-		-	-	126.5	-	-	10.357%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-05-14	ViliamF	3	50000000	6150000000	2	7			-	-	38.30
2021-05-18	ViliamF	3	50000000	6050000000	6	5			-	-	37.79

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-29	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.054	-	-
2009-01-05	Sturle Sunde	dietrich.ifi	2⁶⁰	2⁶¹		-	-	0.072	-	-
2012-04-15	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.144	-	-
2013-09-07	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.460	-	-
2015-03-15	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.920	-	-
2015-03-15	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.751	-	-
2015-12-27	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.503	-	-
2016-10-29	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.006	-	-
2019-04-29	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	14.01	-	-
2021-05-13	ViliamF	Manual testing	2⁶⁸	2⁶⁹		-	-	28.02	-	-
2021-05-13	ViliamF	Manual testing	2⁶⁹	2⁷⁰		-	-	56.05	-	-
2021-05-13	ViliamF	Manual testing	2⁷⁰	2⁷¹		-	-	112.1	-	-

ECM factoring results:

Total ECM effort:	15.096 GHz-days
Estimated T-Level:	23.075

Digits	B1	Complete	FacMiss
20	11000	6.647	0.130%
25	50000	0.615	54.067%
30	250000	0.039	96.190%
35	1000000	0.002	99.818%

ECM Summary

B1	B2	curves	GHz-days
50000	50000	7	0.355
50000	5000000	170	14.50
76620	24176890	1	0.246

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-06	Chang Chia-Tche	euler06	50000	5000000						3	0.256
2009-11-21	SubPrime	mysql0	50000	5000000						3	0.256
2011-07-26	Beat Bucheli	I7	50000	5000000						3	0.256
2013-04-24	hiems	Laptop	50000	5000000						3	0.256
2014-12-09	AdolfNor	PC4	50000	5000000						3	0.256
2015-08-12	guru	w1	50000	5000000						3	0.256
2016-04-20	arnaud	PORTABLE08	50000	5000000						3	0.256
2016-06-11	Jason U	Server7	50000	5000000						3	0.256
2016-09-07	Bruce	test	50000	5000000						3	0.256
2017-03-08	Bruce	Desk6	50000	5000000						3	0.256
2017-09-20	Bruce	Desk6	50000	5000000						3	0.256
2018-02-03	Bruce	Desk6	50000	5000000						3	0.256
2018-07-17	Bruce	Desk6	50000	5000000						3	0.256
2019-09-15	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.256
2020-01-20	mnd9	kitchen	50000	5000000						3	0.256
2020-01-25	EricP	Cannonfodder	50000	5000000						3	0.256
2020-02-03	daveward2005	MW	50000	5000000						3	0.256
2020-02-22	cappy95833	HomePC	50000	5000000						3	0.256
2020-02-25	mnd9	libproj	50000	5000000						3	0.256
2020-03-04	MarkS	desktop-i7	50000	5000000						3	0.256
2020-03-10	mnd9	75211backdoorb	50000	5000000						3	0.256
2020-03-18	mnd9	25836b	50000	5000000						3	0.256
2020-03-28	kracker	O0	50000	5000000						3	0.256
2020-04-10	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.256
2020-04-12	mnd9	libproj	50000	5000000						3	0.256
2020-04-22	mnd9	office2	50000	5000000						3	0.256
2020-04-30	mnd9	libproj	50000	5000000						3	0.256
2020-05-11	nordi	sweet16	50000	5000000						3	0.256
2020-05-25	Yxinity	Olga	50000	5000000						3	0.256
2020-06-13	Section 31	vengeance	50000	5000000						3	0.256
2020-06-27	GAN	LMS-12	50000	5000000						3	0.256
2020-07-04	GAN	OSB-01	50000	5000000						3	0.256
2020-07-11	GAN	OSB-02	50000	5000000						3	0.256
2020-07-17	GAN	LMS-08	50000	5000000						3	0.256
2020-07-23	GAN	LMS-16	50000	5000000						3	0.256
2020-07-30	GAN	LMS-16	50000	5000000						3	0.256
2020-08-06	GAN	LMS-16	50000	5000000						3	0.256
2020-08-15	mnd9	25836b	50000	5000000						3	0.256
2020-09-10	GAN	AC-GR	50000	5000000						7	0.597
2020-10-12	nordi	sweet16	50000	5000000						7	0.597
2020-11-08	mnd9	27016b	50000	5000000						7	0.597
2020-11-09	Bruno Victal	Manual testing	76620	24176890						1	0.246
2020-12-23	Keysarecool	Boat_Anchor	50000	5000000						7	0.597
2021-01-22	Zenzoma	AMD3970X	50000	5000000						7	0.597
2021-02-21	Zenzoma	AMD3970X	50000	5000000						7	0.597
2021-03-26	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						7	0.597
2021-05-12	A child prodigy in maths	math_child_prodigy	50000	50000						7	0.355
2021-05-13	daveward2005	Dave2	50000	5000000						7	0.597

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Herb Savage		9F7A4D2B2AFB5DAD	0.140
1999-02-07	ANONYMOUS	v4_computers	9F7A4D2B2AFB5DAD	0.140
2018-04-06	kkmrkkblmbrbk	old	9F7A4D2B2AFB5DAD	0.140

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 = 1000000, B2 = 24340827420 (P-1 stage 2)

B1 = 1000000, B2 = 12102412140 (P-1 stage 2)

B1 = 1000000, B2 = 5983204500 (P-1 stage 2)

B1 = 50000000, B2 = 2500000000 (P-1 stage 2)

B1 = 50000000 (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 = 504000, B2 = 5040000 (P-1 stage 2)

B1 = 420000, B2 = 4200000 (P-1 stage 2)

B1 = 210000, B2 = 6090000 (P-1 stage 2)

B1 = 504000 (P-1 stage 1)

B1 = 420000 (P-1 stage 1)

B1 = 140000, B2 = 3045000 (P-1 stage 2)

B1 = 210000 (P-1 stage 1)

B1 = 140000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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