M2211817 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	26.9484	67.6471%	10000000	1210000000	7.1865	11.8283%	34.1349	71.4739%	3.8268%
PrimeNet	2⁵⁸	0.0174	62.0690%	10000	180000	0.0018	2.8659%	0.0192	63.1560%	1.0871%
GPU72	2⁶²	0.2778	64.5161%	11000	170000	0.0019	1.6017%	0.2796	65.0845%	0.5684%
Difference	+6	+26.6706	+3.1309%	+9989000	+1209830000	+7.1846	+10.2266%	+33.8552	+6.3894%	+6.3894%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2211817	114645679226112392180539159	27	86.567	25916628551573749587 3 × 13 × 664528937219839733	2021-06-02	13	664528937219839733	12,371,736	3.452e+9	6.447e+9

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	-	-	0.227%
2010-11-06T00:22:00	ANONYMOUS	Manual testing	15000	15000		-		-	-	0.001	-	-	0.199%
2010-11-10T11:27:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.355%
2011-01-08T09:55:00	markr	tiny	90000	1665000		-		-	-	0.017	-	-	2.224%
2013-11-13T00:13:00	c10ck3r	Manual testing	500000	10000000		-		-	-	0.097	-	-	4.348%
2015-11-13T05:07:50	Alexander Dubrovin	Manual testing	1600000	8500000	12	-		-	-	0.188	-	-	4.660%
2015-11-13T05:07:51	Alexander Dubrovin	Manual testing	1800000	11000000	12	-		-	-	0.219	-	-	4.977%
2015-11-13T19:53:09	Alexander Dubrovin	Manual testing	1800000	35000000	12	-		-	-	0.344	-	-	6.267%
2015-12-10T16:59:14	Alexander Dubrovin	Manual testing	2000000	65000000	12	-		-	-	0.518	-	-	7.031%
2020-01-06T18:22:23	mikr	MSI	5000000	200000000	12	-		-	-	1.490	-	-	8.961%
2021-04-15T21:36:04	Dylan Delgado	laptop-ryzen73700	10000000	1210000000		-		-	-	7.186	-	-	11.828%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-02-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.009	-	-
1999-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.017	-	-
2016-02-23T16:29:08	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.052	-	-
2009-01-03T01:24:00	Sturle Sunde	aalto.ifi	2⁶⁰	2⁶¹		-	-	0.069	-	-
2009-01-06T13:50:00	Sturle Sunde	hindemith.ifi	2⁶¹	2⁶²		-	-	0.139	-	-
2013-01-23T08:20:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.444	-	-
2015-03-06T11:15:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.888	-	-
2015-03-06T11:15:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.689	-	-
2015-10-22T10:17:21	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.379	-	-
2016-12-12T15:11:27	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.757	-	-
2019-04-29T13:20:32	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.51	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.709 GHz-days
Estimated T-Level:	22.857

Digits	B1	Curves	Complete	FacMiss
20	11000	160 / 100	1.600	20.028%
25	50000	160 / 280	0.571	56.414%

New Calculation Method

Total ECM effort:	13.709 GHz-days
Estimated T-Level:	22.857

Digits	B1	Complete	FacMiss
20	11000	6.154	0.213%
25	50000	0.569	56.584%
30	250000	0.036	96.472%
35	1000000	0.002	99.832%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		158	13.54
50000	5150000	114645679226112392180539159	2	0.173

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-08T17:23:00	NeedGem Liou	FakeServer	50000	5000000						3	0.257
2009-12-17T09:24:00	SubPrime	abd0	50000	5000000						3	0.257
2011-10-18T14:37:00	Lukasz Wrobel	WORK_lupo	50000	5000000						3	0.257
2013-06-12T12:31:00	hiems	Laptop	50000	5000000						3	0.257
2015-03-15T15:05:00	Jason U	Server7	50000	5000000						3	0.257
2016-01-22T15:21:01	Jason U	Server7	50000	5000000						3	0.257
2016-03-14T16:14:31	Bruce	Desk6	50000	5000000						3	0.257
2016-07-05T00:41:18	Bruce	test	50000	5000000						3	0.257
2016-11-18T12:11:29	Bruce	Desk6	50000	5000000						3	0.257
2017-05-04T18:20:58	Bruce	Desk6	50000	5000000						3	0.257
2017-11-17T19:14:59	Bruce	Desk6	50000	5000000						3	0.257
2018-04-05T17:17:38	Bruce	Desk6	50000	5000000						3	0.257
2018-10-08T03:32:34	Bruce	Desk6	50000	5000000						3	0.257
2020-02-08T14:48:18	mnd9	kitchen	50000	5000000						3	0.257
2020-02-16T05:05:36	mnd9	75201b	50000	5000000						3	0.257
2020-02-23T06:33:33	IanGlencross	glenx24	50000	5000000						3	0.257
2020-03-01T05:44:20	mnd9	colab2	50000	5000000						3	0.257
2020-03-07T00:59:37	EricP	Cannonfodder	50000	5000000						3	0.257
2020-03-14T13:37:46	EricP	Cannonfodder	50000	5000000						3	0.257
2020-03-23T03:18:23	Brett Walker	brain	50000	5000000						3	0.257
2020-04-04T04:45:04	Keysarecool	HPLaptop	50000	5000000						3	0.257
2020-04-18T02:06:29	mnd9	eileen	50000	5000000						3	0.257
2020-04-26T15:14:58	Bommer	3770K	50000	5000000						3	0.257
2020-05-05T10:35:35	mnd9	eileen	50000	5000000						3	0.257
2020-05-17T22:48:22	mnd9	libproj	50000	5000000						3	0.257
2020-06-06T14:39:29	Claude Portenier	Petit-Idiot	50000	5000000						3	0.257
2020-06-23T12:50:44	LaurV	3tits	50000	5000000						3	0.257
2020-07-02T15:38:36	GAN	AC-KL	50000	5000000						3	0.257
2020-07-08T20:32:05	GAN	LMS-11	50000	5000000						3	0.257
2020-07-14T20:38:43	Ahmed Azhad	c5.large.az	50000	5000000						3	0.257
2020-07-21T01:02:45	GAN	LMS-08	50000	5000000						3	0.257
2020-07-27T20:03:10	mnd9	kitchen	50000	5000000						3	0.257
2020-08-03T19:53:41	GAN	LMS-12	50000	5000000						3	0.257
2020-08-11T17:27:54	GAN	LMS-15	50000	5000000						3	0.257
2020-08-29T06:06:14	-Anonymous-	aws-nano	50000	5000000						7	0.600
2020-10-02T01:18:48	lycorn	colab_ES_1	50000	5000000						7	0.600
2020-10-27T19:02:32	alpertron	colab	50000	5000000						7	0.600
2020-12-03T11:42:34	RIHATEC	i7-3770K	50000	5000000						7	0.600
2021-01-06T06:18:57	Sergey Nosov	TS140-02	50000	5000000						7	0.600
2021-02-10T00:36:50	nokno	leo224	50000	5000000						7	0.600
2021-03-06T01:34:58	mnd9	27016b	50000	5000000						7	0.600
2021-04-11T22:12:41	MarkS	desktop-i7	50000	5000000						7	0.600
2021-06-02T13:08:30	kutens	capella	50000	5150000	114645679226112392180539159	86.567	2	2	4218323919282280	2	0.173

date	userid	compid	res64	spent (GHz-days)
1998-02-24T00:00:00	ANONYMOUS	v4_computers	E9788C165394B5C7	0.145
1999-02-21T00:00:00	ANONYMOUS	v4_computers	E9788C165394B5C7	0.145
2018-04-17T14:09:05	kkmrkkblmbrbk	old	E9788C165394B5C7	0.145

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 = 10000000, B2 = 1210000000 (P-1 stage 2)

B1 = 5000000, B2 = 200000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 2000000, B2 = 65000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 1800000, B2 = 35000000 (P-1 stage 2)

B1 = 1800000, B2 = 11000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 1600000, B2 = 8500000 (P-1 stage 2)

B1 = 1800000 (P-1 stage 1)

B1 = 1600000 (P-1 stage 1)

B1 = 500000, B2 = 10000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 90000, B2 = 1665000 (P-1 stage 2)

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)

10⁰

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10¹⁸

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