M1 942 273 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	30.6882	69.1176%	50000000	256102416570	1,101.3098	20.5758%	1,131.9980	75.4720%
Target	2⁶²	0.3163	66.1290%	8000	450000	0.0025	1.1521%	0.3188	66.5193%
Difference	+6	+30.3719	+2.9886%	+49992000	+256101966570	+1,101.3072	+19.4237%	+1,131.6791	+8.9527%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1942273	3406999352681289298345306862526351649663	40	131.324	877065003910698778787870413306047 3 × 13 × 3061 × 49117 × 65447 × 45577547 × 50145425581	2023-04-07	45577547	50145425581	8.904e+10	218.30	401.39

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-12-11	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.555%
2015-10-08	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	4.633%
2016-12-16	Jocelyn Larouche	low 4M	568903	568903		-		-	-	0.045	-	-	1.892%
2016-12-16	Jocelyn Larouche	low 4M	682683	682683		-		-	-	0.054	-	-	2.043%
2016-12-24	Jocelyn Larouche	low 4M	819219	819219		-		-	-	0.064	-	-	2.200%
2017-01-04	Jocelyn Larouche	low 4M	983062	983062		-		-	-	0.077	-	-	2.364%
2017-01-22	Jocelyn Larouche	low 4M	1179674	1179674		-		-	-	0.093	-	-	2.534%
2017-04-13	Jocelyn Larouche	low 4M	1415608	14156080	12	-		-	-	0.166	-	-	5.089%
2018-02-04	Jocelyn Larouche	low 4M	1942273	28312160	12	-		-	-	0.266	-	-	5.979%
2018-02-11	Jocelyn Larouche	low 4M	1942273	56624320	12	-		-	-	0.387	-	-	6.762%
2018-02-28	Jocelyn Larouche	low 4M	1942273	113248640	12	-		-	-	0.630	-	-	7.552%
2018-09-17	Jocelyn Larouche	low 4M	1942273	194227300	12	-		-	-	0.977	-	-	8.171%
2022-08-06	Wentao Huang	Biolake	2340000	10302160050		-		-	-	44.33	-	-	13.014%
2023-04-07	RichD0	Linux-5b	50000000	256102416570			3406999352681289298345306862526351649663	40	131.324	1,101	0.211	2,203	20.576%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2022-08-16	masser	Manual testing	1500000	54000000	2	7			-	-	0.400

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-21	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.059	-	-
2010-01-26	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.079	-	-
2016-02-23	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.158	-	-
2011-08-27	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.822	-	-
2016-02-23	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.505	-	-
2015-05-05	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.011	-	-
2015-05-05	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.924	-	-
2015-09-05	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.847	-	-
2017-11-10	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.695	-	-
2019-05-11	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.39	-	-

ECM factoring results:

Total ECM effort:	19.640 GHz-days
Estimated T-Level:	24.660

Digits	B1	Complete	FacMiss
20	11000	9.921	0.005%
25	50000	0.932	39.373%
30	250000	0.060	94.167%
35	1000000	0.003	99.709%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	190	13.21
50000	5450000	7	0.504
50000	6750000	7	0.555
50000	7500000	46	3.842
250000	235419030	1	1.525

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-21	Matt	Dell	50000	5000000						3	0.209
2009-08-11	SubPrime	mysql0	50000	5000000						3	0.209
2011-01-08	Lupo	yorick	50000	5000000						3	0.209
2012-11-27	Donna Noble	PH2-940-v3-MVB	50000	5000000						3	0.209
2013-12-20	Andy Incline	Office-PC	50000	5000000						3	0.209
2015-04-15	OS1	L3	50000	5000000						3	0.209
2015-10-22	Sara	Sara	50000	5000000						3	0.209
2016-03-15	liceomajoranaorvieto	info6	50000	5000000						3	0.209
2016-06-23	Bruce	Desk6	50000	5000000						3	0.209
2016-09-27	ANONYMOUS	PD925	50000	5000000						3	0.209
2017-06-02	Bruce	Desk6	50000	5000000						3	0.209
2017-10-02	Bruce	Desk6	50000	5000000						3	0.209
2018-01-01	Bruce	Desk6	50000	5000000						3	0.209
2018-05-20	Bruce	Desk6	50000	5000000						3	0.209
2019-04-14	zar	eng1	50000	5000000						3	0.209
2019-12-05	DRMEDESY	hm02	50000	5000000						3	0.209
2019-12-08	Keysarecool	HPLaptop	50000	5000000						3	0.209
2019-12-16	mnd9	75211backdoorb	50000	5000000						3	0.209
2019-12-17	J.R. Allen	lapdell	50000	5000000						3	0.209
2019-12-25	Massimo Cappelli (ik5pwa)	maxwinxp_1	50000	5000000						3	0.209
2019-12-29	J.R. Allen	lapacer	50000	5000000						3	0.209
2020-01-04	Corey	Computer	50000	5000000						3	0.209
2020-01-09	mnd9	25836b	50000	5000000						3	0.209
2020-01-20	mnd9	75204	50000	5000000						3	0.209
2020-01-23	Keysarecool	Boat_Anchor	50000	5000000						3	0.209
2020-02-02	DRMEDESY	hm02	50000	5000000						3	0.209
2020-02-16	mnd9	libproj	50000	5000000						3	0.209
2020-02-23	mnd9	libproj	50000	5000000						3	0.209
2020-03-01	kracker	O0	50000	5000000						3	0.209
2020-03-07	Brett Walker	brain	50000	5000000						3	0.209
2020-03-15	mnd9	75211backdoorb	50000	5000000						3	0.209
2020-04-04	mnd9	221Rb	50000	5000000						3	0.209
2020-04-05	tom9358	unipc	50000	5000000						3	0.209
2020-04-18	Keysarecool	Boat_Anchor	50000	5000000						3	0.209
2020-04-26	mnd9	eileen	50000	5000000						3	0.209
2020-05-05	mnd9	eileen	50000	5000000						3	0.209
2020-05-18	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.209
2020-05-22	daveward2005	Davy	50000	5000000						3	0.209
2020-06-03	Nesowa	entropy_generator_2	50000	5000000						3	0.209
2020-06-23	mnd9	office2	50000	5000000						3	0.209
2020-07-02	jack731	jack	50000	5000000						3	0.209
2020-07-09	GAN	PG-MS	50000	5000000						3	0.209
2020-07-15	daveward2005	Dave2	50000	5000000						3	0.209
2020-07-21	IanGlencross	glenx24	50000	5000000						3	0.209
2020-07-27	daveward2005	Dave2	50000	5000000						3	0.209
2020-08-04	GAN	LMS-11	50000	5000000						3	0.209
2020-08-13	mnd9	25836b	50000	5000000						3	0.209
2020-08-30	daveward2005	Dave2	50000	5000000						7	0.487
2020-10-04	mnd9	libproj	50000	5000000						7	0.487
2020-10-29	MarkS	desktop-i7	50000	5000000						7	0.487
2020-12-04	RIHATEC	i7-3770K	50000	5000000						7	0.487
2021-01-06	daveward2005	Dave2	50000	5000000						7	0.487
2021-02-06	daveward2005	Dave2	50000	5000000						7	0.487
2021-03-06	Deufo	Ryzen2600	50000	6750000						7	0.555
2021-04-21	Zenzoma	AMD3970X	50000	5000000						7	0.487
2021-06-09	kutens	canopus	50000	5450000						7	0.504
2022-04-14	TJAOI	Manual testing	50000	7500000						46	3.842
2022-08-18	masser	Manual testing	250000	235419030						1	1.525

date	userid	compid	res64	spent (GHz-days)
1997-01-01	phil kenny		6C48DD345D836839	0.105
1998-12-21	ANONYMOUS	v4_computers	6C48DD345D836839	0.105
1999-01-02	ANONYMOUS	v4_computers	6C48DD345D836839	0.105
2016-04-30	kkmrkkblmbrbk	old	6C48DD345D836839	0.105

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 = 50000000, B2 = 256102416570 (P-1 stage 2)

B1 = 2340000, B2 = 10302160050 (P-1 stage 2)

B1 = 50000000 (P-1 stage 1)

B1 = 1942273, B2 = 194227300 (P-1 stage 2)

B1 = 1942273, B2 = 113248640 (P-1 stage 2)

B1 = 1942273, B2 = 56624320 (P-1 stage 2)

B1 = 1942273, B2 = 28312160 (P-1 stage 2)

B1 = 2340000 (P-1 stage 1)

B1 = 1415608, B2 = 14156080 (P-1 stage 2)

B1 = 1942273 (P-1 stage 1)

B1 = 1415608 (P-1 stage 1)

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

B1 = 1179674 (P-1 stage 1)

B1 = 983062 (P-1 stage 1)

B1 = 819219 (P-1 stage 1)

B1 = 682683 (P-1 stage 1)

B1 = 275000, B2 = 6000000 (P-1 stage 2)

B1 = 568903 (P-1 stage 1)

B1 = 500000 (P-1 stage 1)

B1 = 275000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁸

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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