M2099393 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	28.3915	67.6471%	2500000	125000000	0.8746	7.8981%	29.2661	70.2023%	2.5553%
PrimeNet	2⁵⁸	0.0183	62.0690%	9000	160000	0.0016	2.6776%	0.0199	63.0846%	1.0156%
GPU72	2⁶²	0.2926	64.5161%	9000	140000	0.0015	1.4016%	0.2942	65.0135%	0.4973%
Difference	+6	+28.0988	+3.1309%	+2491000	+124860000	+0.8731	+6.4965%	+28.9719	+5.1889%	+5.1889%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2099393	214559742288739721558983	24	77.506	51100423381601187 3 × 11 × 1051 × 1097 × 1343077937	2021-01-02	1097	1343077937	18,641	6.9764	13.030

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-27T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.223%
2009-08-01T02:47:00	harlee	P4_2600	20000	260000		-		-	-	0.003	-	-	0.877%
2010-12-29T20:12:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.351%
2011-01-09T14:30:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.510%
2011-01-23T19:27:00	James Heinrich	Q6600	135000	2970000		-		-	-	0.028	-	-	2.739%
2016-04-27T14:05:59	Jocelyn Larouche	Manual testing	270000	10025056	12	-		-	-	0.076	-	-	3.975%
2017-06-14T10:17:32	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.898%

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		-	-	0.018	-	-
2000-04-12T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:05	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.055	-	-
2009-01-03T04:55:00	Sturle Sunde	othello.ifi	2⁶⁰	2⁶¹		-	-	0.073	-	-
2012-03-24T15:48:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.146	-	-
2013-09-04T10:21:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.468	-	-
2015-04-13T20:09:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.935	-	-
2015-04-13T20:09:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.780	-	-
2015-10-31T16:44:15	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.559	-	-
2016-09-25T22:37:38	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.119	-	-
2019-04-02T01:12:41	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.24	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.934 GHz-days
Estimated T-Level:	22.714

Digits	B1	Curves	Complete	FacMiss
20	11000	152 / 100	1.520	21.704%
25	50000	152 / 280	0.543	58.052%

New Calculation Method

Total ECM effort:	12.934 GHz-days
Estimated T-Level:	22.714

Digits	B1	Complete	FacMiss
20	11000	4.903	0.742%
25	50000	0.443	64.201%
30	250000	0.027	97.308%
35	1000000	0.001	99.875%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		145	12.34
50000	5000000	214559742288739721558983	7	0.596

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-10T14:08:00	dachshund	Ann	50000	5000000						3	0.255
2009-11-09T10:48:00	SubPrime	abd0	50000	5000000						3	0.255
2011-06-14T18:53:00	S36049	Wolle5	50000	5000000						3	0.255
2013-04-01T05:17:00	Donna Noble	CCI_PH2_955	50000	5000000						3	0.255
2014-10-11T20:45:00	Wolfgang Fluck	C91F72025	50000	5000000						3	0.255
2015-07-31T00:18:00	guru	w1	50000	5000000						3	0.255
2016-04-24T08:14:53	Bruce	Desk6	50000	5000000						3	0.255
2016-05-26T01:03:54	Bruce	Desk6	50000	5000000						3	0.255
2016-08-14T00:10:31	Bruce	test	50000	5000000						3	0.255
2017-01-28T20:49:04	Bruce	Desk6	50000	5000000						3	0.255
2017-08-20T13:45:26	Bruce	Desk6	50000	5000000						3	0.255
2018-01-02T12:15:39	Bruce	Desk6	50000	5000000						3	0.255
2018-06-14T06:02:59	Bruce	Desk6	50000	5000000						3	0.255
2019-03-21T19:32:07	zar	eng1	50000	5000000						3	0.255
2020-01-08T07:49:11	daveward2005	MW	50000	5000000						3	0.255
2020-01-18T05:19:40	mnd9	touchdown	50000	5000000						3	0.255
2020-01-26T19:55:11	mnd9	kitchen	50000	5000000						3	0.255
2020-01-28T05:22:15	mnd9	50869b	50000	5000000						3	0.255
2020-02-06T20:29:20	David_McCann	i5	50000	5000000						3	0.255
2020-02-14T05:31:16	mnd9	office2	50000	5000000						3	0.255
2020-02-21T13:40:23	mnd9	50869b	50000	5000000						3	0.255
2020-02-28T14:14:07	daveward2005	MW	50000	5000000						3	0.255
2020-03-05T19:56:27	MarkS	laptop64	50000	5000000						3	0.255
2020-03-12T20:06:45	MarkS	desktop-i7	50000	5000000						3	0.255
2020-03-29T00:25:24	cappy95833	HomePC	50000	5000000						3	0.255
2020-04-02T04:21:15	mnd9	office	50000	5000000						3	0.255
2020-04-15T18:14:28	mnd9	colab2	50000	5000000						3	0.255
2020-04-26T19:45:19	Leo Custodio	GCP-013	50000	5000000						3	0.255
2020-05-03T04:33:47	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.255
2020-05-14T16:48:51	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.255
2020-05-31T01:50:28	Summy	CHB	50000	5000000						3	0.255
2020-06-20T12:16:24	Stefan G. Hoffmann	PC-HRW-2017-Dell	50000	5000000						3	0.255
2020-06-30T15:14:17	GAN	OSK-SEK	50000	5000000						3	0.255
2020-07-11T15:43:35	mnd9	75203b	50000	5000000						3	0.255
2020-07-13T16:21:33	GAN	LMS-11	50000	5000000						3	0.255
2020-07-19T17:03:52	GAN	LMS-16	50000	5000000						3	0.255
2020-07-26T02:54:55	IanGlencross	glenx24	50000	5000000						3	0.255
2020-08-02T15:02:22	mnd9	50871b	50000	5000000						3	0.255
2020-08-10T15:43:12	mnd9	25836b	50000	5000000						3	0.255
2020-08-23T15:29:47	-Anonymous-	aws-nano	50000	5000000						7	0.596
2020-10-23T09:03:28	nordi	sweet16	50000	5000000						7	0.596
2020-11-20T06:37:11	Nesowa	6700T	50000	5000000						7	0.596
2020-11-27T03:46:56	Zenzoma	i7-6820HQ	50000	5000000						7	0.596
2021-01-02T10:28:07	mnd9	f4b	50000	5000000	214559742288739721558983	77.506	7	2	2904672833078397	7	0.596

date	userid	compid	res64	spent (GHz-days)
1999-04-13T00:00:00	ANONYMOUS	v4_computers	1054BB236BBBC39A	0.138
2017-06-13T21:55:49	kkmrkkblmbrbk	c4.large	1054BB236BBBC39A	0.138

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 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 270000, B2 = 10025056 (P-1 stage 2)

B1 = 135000, B2 = 2970000 (P-1 stage 2)

B1 = 270000 (P-1 stage 1)

B1 = 135000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 20000, B2 = 260000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

B1 = 20000 (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