M2194663 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	2⁷³	871.5891	69.8630%	6000000	180000000	1.4758	6.0068%	873.0649	71.6733%	1.8103%
PrimeNet	2⁵⁸	0.0175	62.0690%	10000	180000	0.0018	2.8618%	0.0193	63.1545%	1.0855%
GPU72	2⁶²	0.2799	64.5161%	11000	160000	0.0018	1.5708%	0.2818	65.0735%	0.5574%
Difference	+11	+871.3092	+5.3469%	+5989000	+179840000	+1.4740	+4.4360%	+872.7832	+6.5998%	+6.5998%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2194663	29658848633696857214881	23	74.651	6757039380008880 2⁴ × 3² × 5 × 2477 × 3788767427	2021-05-25	2477	3788767427	2,716.8	19.680	36.756

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-03-16T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.074%
2010-11-05T01:16:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.078%
2010-11-09T10:51:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.151%
2011-01-11T10:43:00	markr	tiny	90000	1620000		-		-	-	0.017	-	-	1.174%
2012-12-16T08:21:00	Squeeky_Squirrel	T7500_2200	160000	4520000		-		-	-	0.038	-	-	1.752%
2017-01-10T10:25:16	Jocelyn Larouche	low 4M	230400	230400		-		-	-	0.022	-	-	0.654%
2017-04-04T20:17:34	Jocelyn Larouche	low 4M	331776	3317760	6	-		-	-	0.047	-	-	1.875%
2017-12-16T02:48:39	Sid & Andy	Hand_In_The_Box	6000000	180000000	12	-		-	-	1.476	-	-	6.007%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.017	-	-
2016-02-23T16:29:08	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.052	-	-
2009-01-03T03:16:00	Sturle Sunde	gicy.ifi	2⁶⁰	2⁶¹		-	-	0.070	-	-
2009-01-08T15:49:00	Sturle Sunde	agrell.ifi	2⁶¹	2⁶²		-	-	0.140	-	-
2012-07-15T17:18:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.447	-	-
2012-07-16T06:01:00	dbaugh	Manual testing	2⁶³	2⁶⁴		-	-	0.895	-	-
2012-07-18T07:13:00	dbaugh	Manual testing	2⁶⁴	2⁶⁵		-	-	1.702	-	-
2012-07-18T07:17:00	dbaugh	Manual testing	2⁶⁵	2⁶⁶		-	-	3.405	-	-
2012-07-23T04:49:00	dbaugh	Manual testing	2⁶⁶	2⁶⁷		-	-	6.810	-	-
2012-07-23T07:04:00	dbaugh	Manual testing	2⁶⁷	2⁶⁸		-	-	13.62	-	-
2012-07-29T13:38:00	dbaugh	Manual testing	2⁶⁸	2⁶⁹		-	-	27.24	-	-
2012-08-15T08:43:00	dbaugh	Manual testing	2⁶⁹	2⁷⁰		-	-	54.48	-	-
2012-10-26T08:00:00	dbaugh	Manual testing	2⁷⁰	2⁷¹		-	-	109.0	-	-
2013-01-03T08:49:00	dbaugh	Manual testing	2⁷¹	2⁷²		-	-	217.9	-	-
2013-02-23T08:46:00	dbaugh	Manual testing	2⁷²	2⁷³		-	-	435.8	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.040 GHz-days
Estimated T-Level:	22.911

Digits	B1	Curves	Complete	FacMiss
20	11000	163 / 100	1.630	19.433%
25	50000	163 / 280	0.582	55.812%

New Calculation Method

Total ECM effort:	14.040 GHz-days
Estimated T-Level:	22.911

Digits	B1	Complete	FacMiss
20	11000	6.292	0.185%
25	50000	0.582	55.868%
30	250000	0.037	96.393%
35	1000000	0.002	99.828%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		152	13.01
50000	5150000	29658848633696857214881	4	0.347
50000	6750000		7	0.685

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-21T23:08:00	jingfired	Hoss	50000	5000000						3	0.257
2009-12-10T13:49:00	James Classen	towerofart	50000	5000000						3	0.257
2011-09-11T02:18:00	Lukasz Wrobel	WORK_lupo	50000	5000000						3	0.257
2012-08-19T05:27:00	dbaugh	Manual testing	50000	5000000						10	0.856
2016-04-22T07:54:52	StarionHost	Bluto	50000	5000000						3	0.257
2016-07-29T04:43:52	StarionHost	Bluto	50000	5000000						3	0.257
2016-12-15T01:04:30	Bruce	Desk6	50000	5000000						3	0.257
2017-07-11T19:28:03	Bruce	Desk6	50000	5000000						3	0.257
2017-12-19T03:51:56	Bruce	Desk6	50000	5000000						3	0.257
2018-05-21T22:34:45	Bruce	Desk6	50000	5000000						3	0.257
2019-02-25T01:34:39	zar	eng1	50000	5000000						3	0.257
2020-02-04T23:03:45	Nesowa	6700T	50000	5000000						3	0.257
2020-02-12T17:00:20	mnd9	75201b	50000	5000000						3	0.257
2020-02-19T19:59:01	mnd9	kitchen	50000	5000000						3	0.257
2020-02-27T09:00:20	mat10243x	K2	50000	5000000						3	0.257
2020-03-04T12:59:07	Keysarecool	HPLaptop	50000	5000000						3	0.257
2020-03-11T08:52:43	mnd9	75211backdoorb	50000	5000000						3	0.257
2020-03-18T22:27:29	Sergey Nosov	TS140-02	50000	5000000						3	0.257
2020-03-30T00:47:41	EricP	Cannonfodder	50000	5000000						3	0.257
2020-04-11T10:20:21	daveward2005	Davy	50000	5000000						3	0.257
2020-04-23T09:03:47	mnd9	office2	50000	5000000						3	0.257
2020-05-01T03:53:35	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.257
2020-05-13T20:51:05	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.257
2020-05-27T03:48:21	mnd9	75203	50000	5000000						3	0.257
2020-06-15T10:16:42	daveward2005	Davy	50000	5000000						3	0.257
2020-06-29T12:19:00	LaurV	3tits	50000	5000000						3	0.257
2020-07-05T19:57:34	GAN	LMS-03	50000	5000000						3	0.257
2020-07-12T10:16:36	GAN	OSK-L2	50000	5000000						3	0.257
2020-07-18T23:25:17	nordi	sweet16	50000	5000000						3	0.257
2020-07-24T12:15:21	daveward2005	Dave2	50000	5000000						3	0.257
2020-07-31T11:10:13	GAN	OSB-02	50000	5000000						3	0.257
2020-08-09T01:02:08	GAN	KL-10	50000	5000000						3	0.257
2020-08-17T01:51:02	GAN	LMS-03	50000	5000000						7	0.599
2020-09-18T21:51:22	mnd9	75204b	50000	5000000						7	0.599
2020-10-18T15:00:30	Albrecht Heeffer	Ryzen5-factoring	50000	5000000						7	0.599
2020-11-20T12:59:42	IanGlencross	glenx24	50000	5000000						7	0.599
2020-12-27T14:31:18	Zenzoma	AMD3970X	50000	5000000						7	0.599
2021-01-27T15:42:09	lycorn	colab_S_1	50000	6750000						7	0.685
2021-03-02T10:28:10	mnd9	50869	50000	5000000						7	0.599
2021-04-05T15:56:51	Zenzoma	AMD3970X	50000	5000000						7	0.599
2021-05-25T21:09:01	kutens	arcturus	50000	5150000	29658848633696857214881	74.651	4	2	7689097102509743	4	0.347

date	userid	compid	res64	spent (GHz-days)
1999-02-14T00:00:00	ANONYMOUS	v4_computers	41B94ADAC05A9DB8	0.144
2018-04-15T12:47:27	kkmrkkblmbrbk	old	41B94ADAC05A9DB8	0.144

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 = 6000000, B2 = 180000000 (P-1 stage 2)

B1 = 6000000 (P-1 stage 1)

B1 = 331776, B2 = 3317760 (P-1 stage 2)

B1 = 160000, B2 = 4520000 (P-1 stage 2)

B1 = 331776 (P-1 stage 1)

B1 = 230400 (P-1 stage 1)

B1 = 90000, B2 = 1620000 (P-1 stage 2)

B1 = 160000 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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