M841 933 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	70.7953	70.5882%	1000000	13367374020	25.6418	11.3058%	96.4371	73.9135%
Target	2⁴⁴	0.0000	54.5455%	14000	4400000	0.0089	17.5505%	0.0089	62.5229%
Difference	+24	+70.7953	+16.0428%	+986000	+13362974020	+25.6329	-6.2447%	+96.4282	+11.3905%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
841933	3840138391083224600173060129	28	91.633	2280548684445926576208 2⁴ × 3 × 10391 × 697381 × 6556478701	2023-03-23	697381	6556478701	1.190e+9	12.584	23.460

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-08	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.166%
2002-02-10	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.364%
2002-04-07	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.002	-	-	0.670%
2002-05-18	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.004	-	-	1.106%
2002-06-15	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.007	-	-	1.682%
2002-12-02	ANONYMOUS	v4_computers	65537	6553700		-		-	-	0.015	-	-	2.396%
2003-08-08	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.029	-	-	3.236%
2009-08-26	Carsten Kossendey	leela	841933	841933		-		-	-	0.030	-	-	1.973%
2012-07-30	markr	Manual testing	10000000	200000000		-		-	-	0.716	-	-	8.549%
2022-12-20	Jocelyn Larouche	Manual testing	1000000	4637653020		-		-	-	8.918	-	-	10.199%
2023-03-23	Jocelyn Larouche	Manual testing	1000000	13367374020			3840138391083224600173060129	28	91.633	25.64	0.041	51.28	11.306%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2023-03-23	masser	Manual testing	6000000	288000000	2	7			-	-	0.850
2023-03-23	masser	Manual testing	6000000	276000000	89	59	3840138391083224600173060129	P+1	28	91.633	0.828
2023-04-20	masser	Manual testing	6000000	276000000	6	5			-	-	0.828

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-10	ANONYMOUS	v4_computers	2¹	2⁵⁵		-	-	0.006	-	-
2001-01-21	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.011	-	-
2001-10-25	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.023	-	-
2003-09-09	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.046	-	-
2008-10-11	Sturle Sunde	eames.ifi	2⁵⁸	2⁵⁹		-	-	0.046	-	-
2008-10-11	Sturle Sunde	eames.ifi	2⁵⁹	2⁶⁰		-	-	0.091	-	-
2010-05-24	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.182	-	-
2015-02-20	TJAOI	Manual testing	2⁶¹	2⁶²		-	-	0.365	-	-
2015-10-02	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.166	-	-
2015-10-02	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	2.332	-	-
2016-02-16	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	4.438	-	-
2018-01-22	Smok_bmv	Manual testing	2⁶⁵	2⁶⁶		-	-	8.876	-	-
2018-01-22	Smok_bmv	Manual testing	2⁶⁶	2⁶⁷		-	-	17.75	-	-
2018-01-22	Smok_bmv	Manual testing	2⁶⁷	2⁶⁸		-	-	35.50	-	-

ECM factoring results:

Total ECM effort:	14.416 GHz-days
Estimated T-Level:	25.671

Digits	B1	Complete	FacMiss
20	11000	15.626	0.000%
25	50000	1.684	18.562%
30	250000	0.134	87.439%
35	1000000	0.009	99.128%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		307	8.560
250000	25000000		42	5.856

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-04	Chad Davis	Bayes	50000	5000000						1	0.028
2008-01-24	Steve Scott	805D	50000	5000000						3	0.084
2008-10-08	Sturle Sunde	v21	50000	5000000						3	0.084
2009-01-26	Sturle Sunde	v21	50000	5000000						3	0.084
2009-04-08	James Hintz	11_060902	50000	5000000						3	0.084
2009-08-01	JimBa	HPserv	50000	5000000						3	0.084
2009-10-07	Lupo	yorick	50000	5000000						3	0.084
2009-12-25	maxybo	CB418E216	50000	5000000						3	0.084
2010-04-25	toji	tablepc2	50000	5000000						3	0.084
2011-01-22	maxybo	CB418E216	50000	5000000						3	0.084
2011-02-05	Jocelyn Larouche	Manual testing	50000	5000000						1	0.028
2011-04-04	Eric Christenson	ca_robotics_6	50000	5000000						3	0.084
2011-11-22	Andriy Makukha	freehost	50000	5000000						3	0.084
2012-05-28	Pool Party	sts	50000	5000000						3	0.084
2012-08-30	Brett Walker		50000	5000000						3	0.084
2013-01-23	gucs	echo3	50000	5000000						3	0.084
2013-04-07	gucs	echo3	50000	5000000						3	0.084
2013-06-15	gucs	echo3	50000	5000000						3	0.084
2013-08-28	gucs	echo3	50000	5000000						3	0.084
2013-11-10	gucs	echo3	50000	5000000						3	0.084
2014-01-24	gucs	echo3	50000	5000000						3	0.084
2014-03-07	gucs	echo3	50000	5000000						3	0.084
2014-04-09	gucs	echo3	50000	5000000						3	0.084
2014-05-06	gucs	echo3	50000	5000000						3	0.084
2014-11-21	Ryan Schulz	wenn	50000	5000000						15	0.418
2016-01-04	TJAOI	Manual testing	50000	5000000						17	0.474
2016-02-28	Oussama Kiamouche	Home	50000	5000000						3	0.084
2016-03-25	Luigi Morelli	rebirth	50000	5000000						3	0.084
2016-04-03	Luigi Morelli	rebirth	50000	5000000						3	0.084
2016-04-11	Luigi Morelli	rebirth	50000	5000000						3	0.084
2016-05-14	westicles	Manual testing	50000	5000000						168	4.684
2016-08-02	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2016-08-02	Luigi Morelli	Manual testing	50000	5000000						3	0.084
2019-07-18	OS1	Tina	250000	25000000						3	0.418
2019-10-07	TJAOI	Manual testing	250000	25000000						39	5.437

date	userid	compid	res64	spent (GHz-days)
1997-01-01	chris lueders		2ABBA876AE3A2384	0.020
2015-04-11	MadPoo	Manual testing	2ABBA876AE3A2384	0.020

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 = 13367374020 (P-1 stage 2)

B1 = 1000000, B2 = 4637653020 (P-1 stage 2)

B1 = 6000000, B2 = 276000000 (P+1 stage 2)

B1 = 10000000, B2 = 200000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 6000000 (P+1 stage 1)

B1 = 1000000 (P-1 stage 1)

B1 = 841933 (P-1 stage 1)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

B1 = 65537, B2 = 6553700 (P-1 stage 2)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 131072 (P-1 stage 1)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

B1 = 65537 (P-1 stage 1)

B1 = 8192, B2 = 819200 (P-1 stage 2)

B1 = 32768 (P-1 stage 1)

B1 = 4096, B2 = 409600 (P-1 stage 2)

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 200000 (P-1 stage 2)

B1 = 8192 (P-1 stage 1)

B1 = 4096 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

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