M1 886 611 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	31.5936	69.1176%	3095866	188661100	1.0388	8.4512%	32.6324	71.7276%
Target	2⁶¹	0.1628	65.5738%	10000	150000	0.0014	1.6926%	0.1642	66.1565%
Difference	+7	+31.4308	+3.5439%	+3085866	+188511100	+1.0374	+6.7585%	+32.4682	+5.5711%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1886611	4773249389495495254995329	25	81.981	1265032746415529024 2⁶ × 419 × 47174550507739	2022-10-31	419	47174550507739	268,798	202,178	377,613

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-17	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.541%
2015-10-07	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	4.617%
2016-09-22	Jocelyn Larouche	low 4M	500000	16500000	12	-		-	-	0.108	-	-	4.700%
2016-10-07	Jocelyn Larouche	low 4M	500000	19800000	6	-		-	-	0.122	-	-	4.861%
2016-10-09	Jocelyn Larouche	low 4M	500000	50000000	12	-		-	-	0.251	-	-	5.692%
2016-11-03	Jocelyn Larouche	low 4M	600000	600000		-		-	-	0.047	-	-	1.927%
2016-12-24	Jocelyn Larouche	low 4M	720000	720000		-		-	-	0.057	-	-	2.079%
2016-12-29	Jocelyn Larouche	low 4M	864000	864000		-		-	-	0.068	-	-	2.238%
2017-01-21	Jocelyn Larouche	low 4M	1036800	1036800		-		-	-	0.082	-	-	2.403%
2017-03-01	Jocelyn Larouche	low 4M	1244160	12441600	12	-		-	-	0.146	-	-	4.887%
2017-06-19	Jocelyn Larouche	low 4M	1492992	26873856	12	-		-	-	0.226	-	-	5.777%
2017-07-18	Jocelyn Larouche	low 4M	1791590	17915900	12	-		-	-	0.210	-	-	5.419%
2017-07-20	Jocelyn Larouche	low 4M	2149908	21499080	12	-		-	-	0.252	-	-	5.694%
2017-07-30	Jocelyn Larouche	low 4M	2579889	25798890	12	-		-	-	0.302	-	-	5.975%
2017-08-04	Jocelyn Larouche	low 4M	3095866	30958660	12	-		-	-	0.363	-	-	6.262%
2018-02-16	Jocelyn Larouche	low 4M	3095866	61917320	12	-		-	-	0.496	-	-	7.098%
2018-03-13	Jocelyn Larouche	low 4M	3095866	123834640	12	-		-	-	0.761	-	-	7.939%
2018-05-02	Jocelyn Larouche	low 4M	3095866	188661100	12	-		-	-	1.039	-	-	8.451%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2022-10-27	masser	Manual testing	200000	4400000	86	67			-	-	0.042
2022-10-29	masser	Manual testing	400000	10800000	6	5			-	-	0.092
2022-10-31	masser	Manual testing	800000	800000	2	7	4773249389495495254995329	P+1	25	81.981	0.096

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-09	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.061	-	-
2010-04-01	Architects Cubed	Manual testing	2⁶⁰	2⁶¹		-	-	0.081	-	-
2016-02-23	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.163	-	-
2011-03-08	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.846	-	-
2016-02-23	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.520	-	-
2015-05-10	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.041	-	-
2015-05-10	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	1.980	-	-
2015-09-13	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.961	-	-
2018-05-28	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.922	-	-
2019-06-17	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	15.84	-	-

ECM factoring results:

Total ECM effort:	18.011 GHz-days
Estimated T-Level:	24.521

Digits	B1	Complete	FacMiss
20	11000	9.799	0.006%
25	50000	0.904	40.483%
30	250000	0.057	94.453%
35	1000000	0.003	99.734%

ECM Summary

B1	B2	curves	GHz-days
50000	50000	7	0.293
50000	5000000	206	14.28
50000	6600000	44	3.440

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-01	bero70	amd1055	50000	5000000						3	0.208
2009-07-24	James Hintz	09_071509	50000	5000000						3	0.208
2011-03-23	James Hintz	ryan	50000	5000000						3	0.208
2012-10-01	OS1	L3	50000	5000000						3	0.208
2013-10-13	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2014-06-27	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2015-04-11	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2015-12-06	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2016-03-03	Bruce	DESK3	50000	5000000						3	0.208
2016-04-17	Bruce	DESK3	50000	5000000						3	0.208
2016-07-21	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2016-10-02	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2016-12-05	Bruce	DESK3	50000	5000000						3	0.208
2017-02-21	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2017-09-25	ANONYMOUS	Worker	50000	5000000						3	0.208
2018-01-10	Bruce	DESK3	50000	5000000						3	0.208
2019-09-29	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.208
2019-11-30	J.R. Allen	lapacer	50000	5000000						3	0.208
2019-12-04	J.R. Allen	lapacer	50000	5000000						3	0.208
2019-12-08	Keysarecool	HPLaptop	50000	5000000						3	0.208
2019-12-13	J.R. Allen	lapdell	50000	5000000						3	0.208
2019-12-18	mnd9	f3	50000	5000000						3	0.208
2019-12-24	Keysarecool	Boat_Anchor	50000	5000000						3	0.208
2019-12-29	TheJudger	myECM	50000	5000000						3	0.208
2020-01-03	Alvin Bunk	BADCAT	50000	5000000						3	0.208
2020-01-10	mnd9	221Rb	50000	5000000						3	0.208
2020-01-18	David_McCann	i5	50000	5000000						3	0.208
2020-01-23	Keysarecool	Boat_Anchor	50000	5000000						3	0.208
2020-02-03	Nesowa	6700T	50000	5000000						3	0.208
2020-02-10	mnd9	kitchen	50000	5000000						3	0.208
2020-02-17	IanGlencross	glenx24	50000	5000000						3	0.208
2020-02-24	Nesowa	6700T	50000	5000000						3	0.208
2020-03-02	Nesowa	6700T	50000	5000000						3	0.208
2020-03-08	mnd9	office2	50000	5000000						3	0.208
2020-03-15	MarkS	laptop64	50000	5000000						3	0.208
2020-03-25	Brett Walker	brain	50000	5000000						3	0.208
2020-04-06	mnd9	fb	50000	5000000						3	0.208
2020-04-19	mnd9	fb	50000	5000000						3	0.208
2020-04-27	mnd9	colab2	50000	5000000						3	0.208
2020-05-07	mnd9	27016b	50000	5000000						3	0.208
2020-05-21	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.208
2020-06-08	mnd9	25836b	50000	5000000						3	0.208
2020-06-25	LaurV	3tits	50000	5000000						3	0.208
2020-07-05	Leo Custodio	GCP-013	50000	5000000						3	0.208
2020-07-09	GAN	LMS-15	50000	5000000						3	0.208
2020-07-15	debrouxl	8rd	50000	5000000						3	0.208
2020-07-21	GAN	LMS-06	50000	5000000						3	0.208
2020-07-28	GAN	LMS-12	50000	5000000						3	0.208
2020-08-04	GAN	LMS-18	50000	5000000						3	0.208
2020-08-14	GAN	KL-SCH02	50000	5000000						3	0.208
2020-09-01	GAN	OSB-02	50000	5000000						7	0.485
2020-10-07	LaurV	bc1	50000	5000000						7	0.485
2020-11-01	C.D.B.	i7_6850K	50000	5000000						7	0.485
2020-12-06	RIHATEC	i7-3770K	50000	5000000						7	0.485
2021-01-08	Zenzoma	AMD3970X	50000	5000000						7	0.485
2021-03-14	GAN	N-29	50000	50000						7	0.293
2021-03-15	daveward2005	Dave2	50000	5000000						7	0.485
2021-04-09	Zenzoma	AM3700X_1	50000	5000000						7	0.485
2021-04-22	debrouxl		50000	5000000						7	0.485
2021-10-07	TJAOI	Manual testing	50000	6600000						44	3.440

date	userid	compid	res64	spent (GHz-days)
1997-01-01	David Linton		8B02764B0665FD__	0.102
1999-03-15	Phantomas	v4_computers	8B02764B0665FD__	0.102
2015-07-14	MadPoo	Manual testing	8B02764B0665FD__	0.102

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 = 3095866, B2 = 188661100 (P-1 stage 2)

B1 = 3095866, B2 = 123834640 (P-1 stage 2)

B1 = 3095866, B2 = 61917320 (P-1 stage 2)

B1 = 3095866, B2 = 30958660 (P-1 stage 2)

B1 = 2579889, B2 = 25798890 (P-1 stage 2)

B1 = 2149908, B2 = 21499080 (P-1 stage 2)

B1 = 500000, B2 = 50000000 (P-1 stage 2)

B1 = 3095866 (P-1 stage 1)

B1 = 1492992, B2 = 26873856 (P-1 stage 2)

B1 = 1791590, B2 = 17915900 (P-1 stage 2)

B1 = 2579889 (P-1 stage 1)

B1 = 2149908 (P-1 stage 1)

B1 = 1244160, B2 = 12441600 (P-1 stage 2)

B1 = 1791590 (P-1 stage 1)

B1 = 500000, B2 = 19800000 (P-1 stage 2)

B1 = 1492992 (P-1 stage 1)

B1 = 500000, B2 = 16500000 (P-1 stage 2)

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

B1 = 1244160 (P-1 stage 1)

B1 = 1036800 (P-1 stage 1)

B1 = 864000 (P-1 stage 1)

B1 = 800000 (P+1 stage 1)

B1 = 720000 (P-1 stage 1)

B1 = 600000 (P-1 stage 1)

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

B1 = 500000 (P-1 stage 1)

B1 = 275000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

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10³

10⁴

10⁵

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10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

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