M1804961 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	33.0228	69.1176%	4933630	192411570	1.1916	8.7361%	34.2144	71.8156%	2.6979%
PrimeNet	2⁵⁷	0.0106	63.1579%	8000	150000	0.0012	2.8716%	0.0119	64.2159%	1.0580%
GPU72	2⁶¹	0.1702	65.5738%	9000	130000	0.0012	1.5552%	0.1714	66.1092%	0.5354%
Difference	+7	+32.8526	+3.5439%	+4924630	+192281570	+1.1903	+7.1809%	+34.0430	+5.7064%	+5.7064%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1804961	188136704289881303816002657	27	87.282	52116556615317811248 2⁴ × 3 × 1085761596152454401	2021-01-25	16	1085761596152454401	22,055,661	4.653e+9	8.691e+9

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2003-09-21T00:00:00	ANONYMOUS	v4_computers	25000	387500		-		-	-	0.004	-	-	1.036%
2011-02-07T12:39:00	Carsten Kossendey	leela	100000	1650000		-		-	-	0.015	-	-	2.197%
2014-05-12T10:21:00	Jocelyn Larouche	Manual testing	135560	135560		-		-	-	0.011	-	-	0.924%
2014-07-22T20:20:00	mikr	MSI	4933630	192411570		-		-	-	1.192	-	-	8.736%
2018-11-13T13:00:04	Jocelyn Larouche	Manual testing	1804961	198545710	12	-		-	-	0.985	-	-	8.080%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.021	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.064	-	-
2010-04-13T12:48:00	Architects Cubed	m1_tt	2⁶⁰	2⁶¹		-	-	0.085	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.170	-	-
2010-12-13T03:33:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.884	-	-
2016-02-23T16:28:52	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.544	-	-
2015-04-20T21:14:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.088	-	-
2015-04-20T21:14:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.070	-	-
2015-09-01T08:49:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.140	-	-
2018-05-21T16:49:47	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.280	-	-
2019-07-15T09:27:29	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.56	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	16.068 GHz-days
Estimated T-Level:	24.161

Digits	B1	Curves	Complete	FacMiss
20	11000	233 / 100	2.330	9.616%
25	50000	233 / 280	0.832	43.447%

New Calculation Method

Total ECM effort:	16.068 GHz-days
Estimated T-Level:	24.161

Digits	B1	Complete	FacMiss
20	11000	7.516	0.054%
25	50000	0.679	50.697%
30	250000	0.042	95.903%
35	1000000	0.002	99.809%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		230	15.86
50000	5000000	188136704289881303816002657	3	0.207

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-09-12T22:12:00	Scott Kurowski	UW1	50000	5000000						3	0.207
2009-07-17T02:34:00	SubPrime	stor	50000	5000000						3	0.207
2010-10-16T09:56:00	Lupo	yorick	50000	5000000						3	0.207
2012-03-29T22:59:00	S36049	Wolle5	50000	5000000						3	0.207
2013-07-12T20:53:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-03-27T09:14:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-07-22T03:29:00	mikr	MSI	50000	5000000						12	0.828
2014-07-22T03:57:00	mikr	MSI	50000	5000000						12	0.828
2019-12-21T15:09:49	dcheuk	macbook	50000	5000000						3	0.207
2019-12-27T22:50:11	TheJudger	myECM	50000	5000000						3	0.207
2020-01-01T14:16:19	Keysarecool	HPLaptop	50000	5000000						3	0.207
2020-01-07T06:11:30	IanGlencross	glenx24	50000	5000000						3	0.207
2020-01-16T00:06:21	cappy95833	HomePC	50000	5000000						3	0.207
2020-01-22T16:55:06	cappy95833	HomePC	50000	5000000						3	0.207
2020-01-28T05:15:29	mnd9	25836b	50000	5000000						3	0.207
2020-02-05T21:35:13	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2020-02-13T11:18:12	Keysarecool	i9	50000	5000000						3	0.207
2020-02-21T09:19:23	Sergey Nosov	TS140-02	50000	5000000						3	0.207
2020-02-27T12:08:51	mnd9	l2lounge	50000	5000000						3	0.207
2020-03-05T18:43:24	kracker	O0	50000	5000000						3	0.207
2020-03-12T08:34:49	mnd9	office2	50000	5000000						3	0.207
2020-03-19T20:16:50	daveward2005	Davy	50000	5000000						3	0.207
2020-03-31T19:25:13	EricP	Cannonfodder	50000	5000000						3	0.207
2020-04-13T21:23:49	mnd9	221Rb	50000	5000000						3	0.207
2020-04-24T13:23:34	daveward2005	Davy	50000	5000000						3	0.207
2020-05-01T18:30:42	mnd9	eileen	50000	5000000						3	0.207
2020-05-13T23:39:01	nordi	sweet16	50000	5000000						3	0.207
2020-05-30T20:50:09	MarkS	desktop-i7	50000	5000000						3	0.207
2020-06-20T17:39:20	LaurV	3tits	50000	5000000						3	0.207
2020-06-30T03:02:56	GAN	OSB-01	50000	5000000						3	0.207
2020-07-07T02:19:39	GAN	OSK-01	50000	5000000						3	0.207
2020-07-13T09:53:59	GAN	OSK-L2	50000	5000000						3	0.207
2020-07-19T07:33:47	GAN	LMS-02	50000	5000000						3	0.207
2020-07-25T14:22:11	GAN	OSB-02	50000	5000000						3	0.207
2020-08-02T04:35:01	GAN	AC-KL	50000	5000000						3	0.207
2020-08-09T13:33:37	GAN	LMS-08	50000	5000000						3	0.207
2020-08-21T10:03:05	-Anonymous-	aws-nano	50000	5000000						7	0.483
2020-09-25T00:16:39	nordi	sweet16	50000	5000000						7	0.483
2020-10-21T23:11:46	nordi	sweet16	50000	5000000						7	0.483
2020-12-16T23:57:46	Peredron	Peredron2	50000	5000000						1	0.069
2021-01-06T23:40:09	lycorn	colab_A_1	50000	5000000						7	0.483
2021-01-25T22:03:15	daveward2005	Dave2	50000	5000000	188136704289881303816002657	87.282	3	2	7903228161969296	3	0.207
2021-01-29T12:55:31	TJAOI	Manual testing	50000	5000000						75	5.172

date	userid	compid	res64	spent (GHz-days)
1998-12-06T00:00:00	ANONYMOUS	v4_computers	031203BB550B54FF	0.098
2015-07-10T01:00:00	MadPoo	Manual testing	031203BB550B54FF	0.098

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 = 4933630, B2 = 192411570 (P-1 stage 2)

B1 = 1804961, B2 = 198545710 (P-1 stage 2)

B1 = 4933630 (P-1 stage 1)

B1 = 1804961 (P-1 stage 1)

B1 = 100000, B2 = 1650000 (P-1 stage 2)

B1 = 135560 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 25000, B2 = 387500 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

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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