M1 851 203 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	32.1979	69.1176%	32000000	5152085484	24.4606	14.5087%	56.6585	73.5983%
Target	2⁶¹	0.1659	65.5738%	9000	1200000	0.0058	1.6312%	0.1717	66.1353%
Difference	+7	+32.0320	+3.5439%	+31991000	+5150885484	+24.4548	+12.8776%	+56.4868	+7.4630%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1851203	847688011795856900371549611212126822833	39	129.317	228955984782829570925379229401672 2³ × 3 × 13 × 19 × 850301 × 29718197 × 30293651 × 50454167	2022-07-13	30293651	50454167	9.601e+10	2.4694	4.8498

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-03	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.532%
2015-10-07	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	4.606%
2016-10-29	Jocelyn Larouche	low 4M	864000	864000		-		-	-	0.068	-	-	2.232%
2016-12-18	Jocelyn Larouche	low 4M	720000	720000		-		-	-	0.057	-	-	2.074%
2017-01-12	Jocelyn Larouche	low 4M	1036800	1036800		-		-	-	0.082	-	-	2.397%
2017-02-11	Jocelyn Larouche	low 4M	1244160	12441600	12	-		-	-	0.146	-	-	4.876%
2017-12-24	Jocelyn Larouche	low 4M	2488320	24883200	12	-		-	-	0.292	-	-	5.907%
2018-02-09	Jocelyn Larouche	low 4M	2488320	49766400	12	-		-	-	0.398	-	-	6.714%
2018-02-26	Jocelyn Larouche	low 4M	2488320	99532800	12	-		-	-	0.612	-	-	7.528%
2018-09-13	Jocelyn Larouche	low 4M	2488320	185120300	12	-		-	-	0.978	-	-	8.260%
2018-10-25	Jocelyn Larouche	Manual testing	2488320	203632330	12	-		-	-	1.058	-	-	8.373%
2022-07-13	RichD0	Linux-5b	32000000	5152085484			847688011795856900371549611212126822833	39	129.317	24.46	0.201	48.92	14.509%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-16	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.021	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.062	-	-
2010-04-12	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.083	-	-
2016-02-23	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.166	-	-
2011-01-21	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.862	-	-
2016-02-23	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.530	-	-
2015-04-30	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.061	-	-
2015-04-30	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.018	-	-
2015-09-08	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.037	-	-
2018-06-11	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.073	-	-
2019-06-10	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.15	-	-

ECM factoring results:

Total ECM effort:	39.129 GHz-days
Estimated T-Level:	25.722

Digits	B1	Complete	FacMiss
20	11000	14.779	0.000%
25	50000	1.685	18.542%
30	250000	0.144	86.559%
35	1000000	0.010	99.001%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	212	14.66
50000	6600000	39	3.041
250000	40000000	50	21.43

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-23	Scott Kurowski	HomeOffice	50000	5000000						3	0.207
2009-07-19	James Hintz	16_071509	50000	5000000						3	0.207
2011-01-31	James Hintz	17_051310	50000	5000000						3	0.207
2012-07-09	fre_games	desktop	50000	5000000						3	0.207
2013-09-15	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-05-30	Sara	Sara	50000	5000000						3	0.207
2014-12-24	mikr	MSI	50000	5000000						12	0.830
2016-06-07	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-09-13	Bruce	DESK3	50000	5000000						3	0.207
2016-11-21	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2017-01-19	Bruce	DESK3	50000	5000000						3	0.207
2017-07-20	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2017-12-20	Bruce	DESK3	50000	5000000						3	0.207
2018-02-18	Bruce	DESK3	50000	5000000						3	0.207
2019-11-25	penlu	grizzly	50000	5000000						3	0.207
2019-11-28	Claude Portenier	Petit-Idiot	50000	5000000						3	0.207
2019-12-01	Alvin Bunk	i7-Core	50000	5000000						3	0.207
2019-12-04	Keysarecool	HPLaptop	50000	5000000						3	0.207
2019-12-09	George Woltman	colab	50000	5000000						3	0.207
2019-12-14	Yxinity	Olga	50000	5000000						3	0.207
2019-12-19	mnd9	75211backdoorb	50000	5000000						3	0.207
2019-12-25	Keysarecool	HPLaptop	50000	5000000						3	0.207
2019-12-30	MarkS	desktop-i7	50000	5000000						3	0.207
2020-01-04	mat10243x	B2	50000	5000000						3	0.207
2020-01-24	mnd9	50869b	50000	5000000						3	0.207
2020-02-02	ANONYMOUS		50000	5000000						3	0.207
2020-02-10	mnd9	libproj	50000	5000000						3	0.207
2020-02-11	mnd9	f3b	50000	5000000						3	0.207
2020-02-18	mat10243x	C1	50000	5000000						3	0.207
2020-02-24	EricP	Cannonfodder	50000	5000000						3	0.207
2020-03-05	mat10243x	K2	50000	5000000						3	0.207
2020-03-09	mnd9	75201b	50000	5000000						3	0.207
2020-03-14	mnd9	colab2	50000	5000000						3	0.207
2020-03-16	mnd9	office2	50000	5000000						3	0.207
2020-03-26	Alvin Bunk	BADCAT	50000	5000000						3	0.207
2020-04-07	EricP	Cannonfodder	50000	5000000						3	0.207
2020-04-20	mnd9	eileen	50000	5000000						3	0.207
2020-04-28	nordi	sweet16	50000	5000000						3	0.207
2020-05-08	Greg Hogan	azure4	50000	5000000						3	0.207
2020-05-23	mnd9	kitchen	50000	5000000						3	0.207
2020-06-10	nordi	sweet16	50000	5000000						3	0.207
2020-06-26	tonesforsins	tonesforsins	50000	5000000						3	0.207
2020-07-04	LaurV	3tits	50000	5000000						3	0.207
2020-07-10	GAN	LMS-12	50000	5000000						3	0.207
2020-07-16	daveward2005	Dave2	50000	5000000						3	0.207
2020-07-22	GAN	LMS-16	50000	5000000						3	0.207
2020-07-29	rextherunt	ice	50000	5000000						3	0.207
2020-08-05	lycorn	colab_S	50000	5000000						3	0.207
2020-08-14	mnd9	libproj	50000	5000000						3	0.207
2020-09-05	IanGlencross	glenx24	50000	5000000						7	0.484
2020-10-07	MarkS	desktop-i7	50000	5000000						7	0.484
2020-11-05	rextherunt	ice	50000	5000000						7	0.484
2020-12-09	Zenzoma	AMD3970X	50000	5000000						7	0.484
2021-02-10	Zenzoma	AMD3970X	50000	5000000						7	0.484
2021-03-12	RIHATEC	i7-3770K	50000	5000000						7	0.484
2021-03-12	RIHATEC	i7-3770K	50000	5000000						7	0.484
2021-03-16	mnd9	75211frontb	50000	5000000						7	0.484
2021-10-07	TJAOI	Manual testing	50000	6600000						39	3.041
2023-08-22	TJAOI	Manual testing	250000	40000000						50	21.43

date	userid	compid	res64	spent (GHz-days)
1998-04-11	ANONYMOUS	v4_computers	F1941EB866E18804	0.100
1998-12-27	ANONYMOUS	v4_computers	F1941EB866E18804	0.100
2015-07-16	MadPoo	Manual testing	F1941EB866E18804	0.100

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 = 32000000, B2 = 5152085484 (P-1 stage 2)

B1 = 32000000 (P-1 stage 1)

B1 = 2488320, B2 = 203632330 (P-1 stage 2)

B1 = 2488320, B2 = 185120300 (P-1 stage 2)

B1 = 2488320, B2 = 99532800 (P-1 stage 2)

B1 = 2488320, B2 = 49766400 (P-1 stage 2)

B1 = 2488320, B2 = 24883200 (P-1 stage 2)

B1 = 2488320 (P-1 stage 1)

B1 = 1244160, B2 = 12441600 (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 = 720000 (P-1 stage 1)

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

B1 = 500000 (P-1 stage 1)

B1 = 275000 (P-1 stage 1)

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10¹⁰

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