M523 927 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	113.7656	72.0588%	70000000	3378026802150	3,893.1679	22.8637%	4,006.9336	78.4472%
Target	2⁴⁴	0.0000	56.8182%	9000	1500000	0.0019	14.6041%	0.0019	63.1245%
Difference	+24	+113.7656	+15.2406%	+69991000	+3378025302150	+3,893.1660	+8.2595%	+4,006.9316	+15.3227%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-12-22	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.144%
2002-01-22	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.322%
2002-02-10	Jocelyn Larouche	v4_computers	10000	100000		-		-	-	0.000	-	-	0.354%
2002-06-23	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.004	-	-	1.545%
2002-08-31	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.009	-	-	2.220%
2003-04-27	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.018	-	-	3.022%
2011-05-27	Jocelyn Larouche	Manual testing	1000000	1000000		-		-	-	0.021	-	-	1.978%
2012-07-14	Jocelyn Larouche	Manual testing	1047854	1047854		-		-	-	0.022	-	-	2.016%
2013-01-28	markr	Manual testing	25000000	1000000000		-		-	-	1.652	-	-	10.808%
2023-01-16	Jocelyn Larouche	Manual testing	1048854	9303594300		-		-	-	10.74	-	-	10.513%
2023-06-05	Jocelyn Larouche	Joss	1048854	55027422450		-		-	-	63.42	-	-	12.346%
2023-09-04	linament	U2K	70000000	70000000		-		-	-	1.480	-	-	7.008%
2023-09-06	linament	Cyber	70000000	3378026802150		-		-	-	3,893	-	-	22.864%

date	userid	compid	b1	b2	start	factor	bits*	ghz-days
2021-06-07	happy5214	Manual testing	12500000	962500000	2	7	-	-	1.262
2023-09-12	masser	Manual testing	10000000	790000000	94	13	-	-	1.029
2023-09-16	masser	Manual testing	10000000	790000000	6	5	-	-	1.029

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-03-15	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.002	-	-
2022-03-07	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.005	-	-
2001-04-01	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.018	-	-
2002-01-02	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.037	-	-
2003-12-23	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.073	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.220	-	-
2016-02-23	Mark Rose	Manual testing	2⁶⁰	2⁶¹		-	-	0.293	-	-
2015-07-09	NR	Manual testing	2⁶¹	2⁶²		-	-	0.586	-	-
2015-09-08	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.874	-	-
2015-09-08	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	3.747	-	-
2017-11-10	BloodERazor	Manual testing	2⁶⁴	2⁶⁵		-	-	7.131	-	-
2018-05-23	chuenkit	Manual testing	2⁶⁵	2⁶⁶		-	-	14.26	-	-
2020-09-21	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	28.53	-	-
2022-05-09	Gordon Spence	Manual testing	2⁶⁷	2⁶⁸		-	-	57.05	-	-

ECM factoring results:

Total ECM effort:	51.605 GHz-days
Estimated T-Level:	29.863

Digits	B1	Complete	FacMiss
20	11000	63.951	0.000%
25	50000	9.236	0.010%
30	250000	0.973	37.808%
35	1000000	0.080	92.311%
40	3000000	0.005	99.466%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	4.508
250000	25000000		585	47.10

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-31	Chad Davis	Bayes	50000	5000000						1	0.016
2007-11-06	ANONYMOUS	minister	50000	5000000						1	0.016
2008-01-12	Steve Scott	Abit-2	50000	5000000						3	0.048
2008-05-21	Sturle Sunde	v17	50000	5000000						3	0.048
2008-10-11	arnaud	chamot24	50000	5000000						3	0.048
2008-12-07	Sturle Sunde	v22	50000	5000000						3	0.048
2009-02-17	Sturle Sunde	v22	50000	5000000						3	0.048
2009-03-25	Sturle Sunde	v22	50000	5000000						3	0.048
2009-06-03	JPH	diablo	50000	5000000						3	0.048
2009-07-07	Architects Cubed	m1_43	50000	5000000						3	0.048
2009-07-26	JimBa	NASsrvr	50000	5000000						3	0.048
2009-09-03	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.048
2009-09-27	David Bessell	L301	50000	5000000						3	0.048
2009-10-20	JimBa	ISAserv	50000	5000000						3	0.048
2009-11-04	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2009-11-20	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2009-12-09	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.048
2009-12-30	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-01-16	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-01-29	James Hintz	03_122109	50000	5000000						3	0.048
2010-02-10	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-03-01	David Bessell	L301	50000	5000000						3	0.048
2010-03-18	David Bessell	L301	50000	5000000						3	0.048
2010-04-02	David Bessell	L301	50000	5000000						3	0.048
2010-04-18	Sturle Sunde	TOR-ST-0025	50000	5000000						3	0.048
2010-05-03	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-05-20	James Hintz	18_051310	50000	5000000						3	0.048
2010-06-06	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-06-26	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-08-16	James Hintz	06_122109	50000	5000000						3	0.048
2010-09-02	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-09-07	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-09-16	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-10-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-10-15	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.048
2010-11-06	Sturle Sunde	00301BB4FC73	50000	5000000						3	0.048
2010-11-10	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.048
2010-11-27	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-12-08	Sturle Sunde	PREFRB439035V	50000	5000000						3	0.048
2010-12-22	Beat Bucheli	I7	50000	5000000						3	0.048
2011-01-07	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.048
2011-01-21	James Hintz	06_122109	50000	5000000						3	0.048
2011-01-31	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-02-15	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-02-24	fireredd	ont1	50000	5000000						3	0.048
2011-03-08	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-03-20	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-04-04	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-04-23	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-05-25	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-05-26	Sturle Sunde	PRE6S2CKN9ZD4EE	50000	5000000						3	0.048
2011-06-07	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.048
2011-07-01	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-07-21	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-08-18	Lukasz Wrobel	w-l	50000	5000000						3	0.048
2011-09-29	Sturle Sunde	PRE0011254B6EE4	50000	5000000						3	0.048
2011-11-21	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2012-01-11	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2012-02-18	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.048
2012-03-30	561	561	50000	5000000						3	0.048
2012-07-09	TURKIYE TURKIYE TURKIYE	123	50000	5000000						3	0.048
2012-08-18	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.048
2012-10-09	Lukasz Wrobel	v7	50000	5000000						3	0.048
2013-06-13	Lukasz Wrobel	v7	50000	5000000						3	0.048
2013-11-27	Bruce	bfc-ws	50000	5000000						3	0.048
2013-12-27	Bruce	bfc-ws	50000	5000000						3	0.048
2014-03-30	Bruce	snowflake	50000	5000000						3	0.048
2014-04-02	Bruce	snowflake	50000	5000000						3	0.048
2014-07-03	Richard Otter	rjobio	50000	5000000						3	0.048
2014-07-22	dragon325	6005x64	50000	5000000						3	0.048
2014-12-12	Sergiosi	Manual testing	50000	5000000						74	1.192
2014-12-23	Sergiosi	Manual testing	250000	25000000						94	7.568
2019-12-08	ragin_cajun	lappy	250000	25000000						3	0.242
2019-12-11	Yuji HASEGAWA	gl235	250000	25000000						3	0.242
2019-12-19	ragin_cajun	lappy	250000	25000000						3	0.242
2019-12-21	monsted	rootweiler	250000	25000000						3	0.242
2019-12-26	monsted	rootweiler	250000	25000000						3	0.242
2020-01-01	monsted	rootweiler	250000	25000000						3	0.242
2020-01-08	monsted	rootweiler	250000	25000000						3	0.242
2020-01-14	monsted	rootweiler	250000	25000000						3	0.242
2020-01-24	monsted	rootweiler	250000	25000000						3	0.242
2020-01-31	cappy95833	Workaholic	250000	25000000						3	0.242
2020-02-05	cappy95833	Workaholic	250000	25000000						3	0.242
2020-02-09	cappy95833	Workaholic	250000	25000000						3	0.242
2020-03-09	lycorn	supernova	250000	25000000						455	36.63

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Guillermo Ballester Valor		2F747FD974F950D6	0.008
2001-10-20	ANONYMOUS	v4_computers	2F747FD974F950D6	0.008
2015-04-11	MadPoo	Manual testing	2F747FD974F950D6	0.008

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 = 70000000, B2 = 3378026802150 (P-1 stage 2)

B1 = 1048854, B2 = 55027422450 (P-1 stage 2)

B1 = 1048854, B2 = 9303594300 (P-1 stage 2)

B1 = 25000000, B2 = 1000000000 (P-1 stage 2)

B1 = 70000000 (P-1 stage 1)

B1 = 25000000 (P-1 stage 1)

B1 = 1048854 (P-1 stage 1)

B1 = 1047854 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

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

B1 = 65536, B2 = 6553600 (P-1 stage 2)

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

B1 = 131072 (P-1 stage 1)

B1 = 65536 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

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

B1 = 10000, B2 = 100000 (P-1 stage 2)

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

B1 = 10000 (P-1 stage 1)

B1 = 4096 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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