M2184187 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	27.2893	67.6471%	2500000	125000000	0.8746	7.9294%	28.1639	70.2124%	2.5654%
PrimeNet	2⁵⁸	0.0176	62.0690%	10000	180000	0.0018	2.8593%	0.0194	63.1535%	1.0846%
GPU72	2⁶²	0.2813	64.5161%	11000	160000	0.0018	1.5693%	0.2831	65.0730%	0.5569%
Difference	+6	+27.0080	+3.1309%	+2489000	+124840000	+0.8728	+6.3600%	+27.8808	+5.1394%	+5.1394%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2184187	2067952092892763299955951	25	80.774	473391722616415925 5² × 7² × 389 × 993424736617	2020-07-13	389	993424736617	118,054	5,160.1	9,637.6

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	-	-	0.226%
2010-11-06T00:22:00	ANONYMOUS	Manual testing	15000	15000		-		-	-	0.001	-	-	0.198%
2010-11-08T11:36:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.354%
2011-01-13T14:45:00	markr	tiny	90000	1620000		-		-	-	0.017	-	-	2.205%
2014-06-26T21:21:00	ANONYMOUS	Manual testing	119386	119386		-		-	-	0.011	-	-	0.890%
2014-10-10T20:28:00	Jocelyn Larouche	Manual testing	148772	148772		-		-	-	0.014	-	-	1.007%
2016-02-05T12:25:22	Jocelyn Larouche	Manual testing	443043	4430430	6	-		-	-	0.063	-	-	3.588%
2018-02-03T09:31:27	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.929%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-29T00:00:00	RonLavallee	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:08	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.053	-	-
2009-01-02T20:27:00	Sturle Sunde	goober.ifi	2⁶⁰	2⁶¹		-	-	0.070	-	-
2009-01-08T00:00:00	Sturle Sunde	corbusier.ifi	2⁶¹	2⁶²		-	-	0.141	-	-
2013-09-15T16:12:00	BloodIce	Manual testing	2⁶²	2⁶³		-	-	0.449	-	-
2015-03-25T10:10:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.899	-	-
2015-03-25T10:10:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.711	-	-
2016-01-02T13:50:59	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.421	-	-
2016-11-24T19:46:05	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.843	-	-
2019-04-15T13:43:10	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.69	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	7.869 GHz-days
Estimated T-Level:	4.600

Digits	B1	Curves	Complete	FacMiss
20	11000	92 / 100	0.920	39.668%
25	50000	92 / 280	0.329	71.953%

New Calculation Method

Total ECM effort:	7.869 GHz-days
Estimated T-Level:	4.600

Digits	B1	Complete	FacMiss
20	11000	2.968	5.142%
25	50000	0.268	76.474%
30	250000	0.017	98.362%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		90	7.698
50000	5000000	2067952092892763299955951	2	0.171

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-21T11:06:00	Nathan Slaven	q6600	50000	5000000						3	0.257
2009-12-09T09:18:00	SubPrime	abd0	50000	5000000						3	0.257
2011-09-01T17:41:00	S36049	Wolle5	50000	5000000						3	0.257
2013-05-16T18:44:00	Xyzzy	J	50000	5000000						3	0.257
2015-03-01T11:48:00	arnaud	CHAMOT22	50000	5000000						3	0.257
2015-12-10T06:38:31	lopper	i5-4670	50000	5000000						3	0.257
2016-03-07T05:35:55	Bruce	Desk6	50000	5000000						3	0.257
2016-06-24T21:09:46	Bruce	Desk6	50000	5000000						3	0.257
2016-10-30T07:54:37	Bruce	Desk6	50000	5000000						3	0.257
2017-04-12T13:03:45	Bruce	Desk6	50000	5000000						3	0.257
2017-11-03T06:04:18	Bruce	Desk6	50000	5000000						3	0.257
2018-03-14T20:40:18	Bruce	Desk6	50000	5000000						3	0.257
2018-09-03T12:31:56	Bruce	Desk6	50000	5000000						3	0.257
2020-01-28T18:10:08	mnd9	colab	50000	5000000						3	0.257
2020-02-06T10:56:05	David_McCann	i5	50000	5000000						3	0.257
2020-02-13T23:58:01	Sergey Nosov	TS140-02	50000	5000000						3	0.257
2020-02-21T11:57:01	Sergey Nosov	TS140-02	50000	5000000						3	0.257
2020-02-28T00:16:51	mnd9	75201b	50000	5000000						3	0.257
2020-03-05T20:26:09	Sergey Nosov	TS140-02	50000	5000000						3	0.257
2020-03-12T08:39:05	EricP	Cannonfodder	50000	5000000						3	0.257
2020-03-27T09:18:54	cappy95833	HomePC	50000	5000000						3	0.257
2020-04-01T01:30:02	MarkS	laptop64	50000	5000000						3	0.257
2020-04-15T03:55:59	Oliver Kruse	IOS-1	50000	5000000						3	0.257
2020-04-24T20:02:10	nordi	sweet16	50000	5000000						3	0.257
2020-05-02T21:07:57	mnd9	27016b	50000	5000000						3	0.257
2020-05-14T07:09:53	mnd9	libproj	50000	5000000						3	0.257
2020-05-30T20:31:26	Sergey Nosov	TS140-02	50000	5000000						3	0.257
2020-06-20T10:06:35	lycorn	colab_S	50000	5000000						3	0.257
2020-06-30T06:24:07	GAN	OSB-01	50000	5000000						3	0.257
2020-07-08T23:52:55	lycorn	colab_S	50000	5000000						3	0.257
2020-07-13T09:41:00	GAN	LMS-17	50000	5000000	2067952092892763299955951	80.774	2	2	7961584972852421	2	0.171

date	userid	compid	res64	spent (GHz-days)
1999-02-14T00:00:00	RonLavallee	v4_computers	C746A3E278DBE0FF	0.144
2018-04-14T03:34:17	kkmrkkblmbrbk	old	C746A3E278DBE0FF	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 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 443043, B2 = 4430430 (P-1 stage 2)

B1 = 443043 (P-1 stage 1)

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

B1 = 148772 (P-1 stage 1)

B1 = 119386 (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)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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