M2083889 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	28.6027	69.1176%	2500000	125000000	0.8746	7.8923%	29.4774	71.5550%	2.4373%
PrimeNet	2⁵⁸	0.0184	63.7931%	9000	160000	0.0016	2.6739%	0.0201	64.7612%	0.9681%
GPU72	2⁶²	0.2948	66.1290%	9000	140000	0.0015	1.3994%	0.2964	66.6030%	0.4740%
Difference	+6	+28.3079	+2.9886%	+2491000	+124860000	+0.8731	+6.4928%	+29.1810	+4.9519%	+4.9519%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2083889	346700259706747629050287	24	78.198	83185874993041287 3 × 19 × 43 × 3697 × 9180299021	2021-02-10	3697	9180299021	42,138	47.685	89.062

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%
2009-07-26T14:40:00	harlee	P4_2600	20000	260000		-		-	-	0.003	-	-	0.876%
2010-12-28T02:15:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.351%
2011-01-07T22:30:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.509%
2011-01-24T23:16:00	James Heinrich	Q6600	135000	2936250		-		-	-	0.027	-	-	2.729%
2016-07-07T00:37:28	Jocelyn Larouche	Manual testing	182380	5872500	12	-		-	-	0.047	-	-	3.348%
2016-11-04T17:22:07	Jocelyn Larouche	low 4M	218856	218856		-		-	-	0.021	-	-	1.225%
2016-11-07T03:11:23	Jocelyn Larouche	low 4M	262627	262627		-		-	-	0.025	-	-	1.342%
2017-04-10T03:20:53	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.892%
2017-05-13T16:00:16	Jocelyn Larouche	low 4M	364760	3647600	6	-		-	-	0.052	-	-	3.331%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1997-12-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.009	-	-
1999-01-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:05	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.055	-	-
2009-01-02T17:25:00	Sturle Sunde	klengel.ifi	2⁶⁰	2⁶¹		-	-	0.074	-	-
2012-03-17T22:47:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.147	-	-
2013-09-03T09:36:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.471	-	-
2015-03-31T15:56:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.942	-	-
2015-03-31T15:56:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.793	-	-
2015-11-05T09:47:18	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.586	-	-
2016-09-18T04:00:25	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.172	-	-
2019-04-01T03:15:22	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.34	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.707 GHz-days
Estimated T-Level:	23.071

Digits	B1	Curves	Complete	FacMiss
20	11000	172 / 100	1.720	17.752%
25	50000	172 / 280	0.614	54.043%

New Calculation Method

Total ECM effort:	14.707 GHz-days
Estimated T-Level:	23.071

Digits	B1	Complete	FacMiss
20	11000	6.638	0.131%
25	50000	0.614	54.112%
30	250000	0.039	96.199%
35	1000000	0.002	99.819%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		148	12.58
50000	5000000	346700259706747629050287	17	1.445
50000	6750000		7	0.680

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-05T03:02:00	Johan Koolwaaij	C0B5A3B75	50000	5000000						3	0.255
2009-11-08T19:15:00	N Henderson	Neil	50000	5000000						3	0.255
2011-07-07T08:00:00	Lukasz Wrobel	t1	50000	5000000						3	0.255
2013-04-12T08:19:00	Donna Noble	opt4820	50000	5000000						3	0.255
2014-08-28T15:16:00	arnaud	SPR05	50000	5000000						3	0.255
2015-07-25T22:39:00	guru	w6	50000	5000000						3	0.255
2016-04-27T05:20:54	Syntony	Geomancer	50000	5000000						3	0.255
2016-05-22T15:39:46	James P McMillan	caturday	50000	5000000						3	0.255
2016-07-26T20:11:06	Bruce	test	50000	5000000						3	0.255
2017-01-13T00:51:49	Bruce	Desk6	50000	5000000						3	0.255
2017-07-31T08:08:38	Bruce	Desk6	50000	5000000						3	0.255
2017-12-24T05:15:02	Bruce	Desk6	50000	5000000						3	0.255
2018-05-19T02:21:18	Bruce	Desk6	50000	5000000						3	0.255
2018-10-20T20:22:40	Bruce	Desk6	50000	5000000						3	0.255
2020-01-03T17:56:18	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.255
2020-01-09T13:34:52	mnd9	221Rb	50000	5000000						3	0.255
2020-01-18T12:41:38	Yxinity	Olga	50000	5000000						3	0.255
2020-01-23T14:16:37	mnd9	25836b	50000	5000000						3	0.255
2020-01-30T13:51:08	Keysarecool	Boat_Anchor	50000	5000000						3	0.255
2020-02-08T19:27:18	EricP	Cannonfodder	50000	5000000						3	0.255
2020-02-16T16:44:34	mnd9	75201b	50000	5000000						3	0.255
2020-02-23T22:07:39	Alvin Bunk	BADCAT	50000	5000000						3	0.255
2020-03-01T09:50:17	MarkS	desktop-i7	50000	5000000						3	0.255
2020-03-07T13:00:01	mnd9	50869b	50000	5000000						3	0.255
2020-03-15T10:08:04	mnd9	75201b	50000	5000000						3	0.255
2020-03-23T18:11:10	Alvin Bunk	BADCAT	50000	5000000						3	0.255
2021-01-30T10:54:35	lycorn	colab_S_2	50000	6750000						7	0.680
2021-01-30T11:42:22	Zenzoma	AMD3970X	50000	5000000						7	0.595
2021-01-30T11:51:21	Zenzoma	AMD3970X	50000	5000000						7	0.595
2021-01-30T12:51:29	C.D.B.	i7-6850K	50000	5000000						7	0.595
2021-01-30T14:47:09	arachnotron	DellLaptop	50000	5000000						7	0.595
2021-01-30T16:31:09	IanGlencross	glenx24	50000	5000000						7	0.595
2021-01-30T17:22:30	IanGlencross	glenx24	50000	5000000						7	0.595
2021-01-30T22:02:18	daveward2005	Dave2	50000	5000000						7	0.595
2021-01-31T09:26:32	mnd9	office2	50000	5000000						7	0.595
2021-01-31T17:22:22	Sergey Nosov	TS140-02	50000	5000000						7	0.595
2021-01-31T17:48:29	Chang Chia-Tche	ex-ctcpc	50000	5000000						7	0.595
2021-02-10T20:59:37	Zenzoma	AMD3970X	50000	5000000	346700259706747629050287	78.198	3	2	5750807819725022	3	0.255
2021-07-22T01:39:45	Vikki	Manual testing	50000	5000000	346700259706747629050287	78.198	14	2	2296819780804038	14	1.190

date	userid	compid	res64	spent (GHz-days)
1997-12-30T00:00:00	ANONYMOUS	v4_computers	5618E2F87270989F	0.137
1999-01-29T00:00:00	ANONYMOUS	v4_computers	5618E2F87270989F	0.137
2017-06-09T16:26:07	kkmrkkblmbrbk	c4.large	5618E2F87270989F	0.137

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 = 364760, B2 = 3647600 (P-1 stage 2)

B1 = 182380, B2 = 5872500 (P-1 stage 2)

B1 = 364760 (P-1 stage 1)

B1 = 135000, B2 = 2936250 (P-1 stage 2)

B1 = 262627 (P-1 stage 1)

B1 = 218856 (P-1 stage 1)

B1 = 182380 (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