M2055337 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	29.0001	69.1176%	3600000	180000000	1.2595	8.5632%	30.2595	71.7622%	2.6445%
PrimeNet	2⁵⁸	0.0187	63.7931%	9000	160000	0.0016	2.6669%	0.0203	64.7587%	0.9656%
GPU72	2⁶²	0.2989	66.1290%	9000	120000	0.0014	1.3310%	0.3003	66.5799%	0.4508%
Difference	+6	+28.7011	+2.9886%	+3591000	+179880000	+1.2580	+7.2322%	+29.9592	+5.1823%	+5.1823%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2055337	154226859428210957143361	24	77.029	37518630625588640 2⁵ × 5 × 11 × 83663 × 254800853	2020-07-19	83663	254800853	20,565	1.3310	2.4719

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-24T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.222%
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	4000	4000		-		-	-	0.000	-	-	0.047%
2009-06-21T14:35:00	harlee	T7500_2200	20000	260000		-		-	-	0.003	-	-	0.873%
2010-12-26T02:29:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.350%
2011-01-06T01:06:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.508%
2011-01-21T13:22:00	James Heinrich	i7-920	135000	2902500		-		-	-	0.027	-	-	2.716%
2014-10-26T00:59:00	Jocelyn Larouche	Manual testing	166228	166228		-		-	-	0.016	-	-	1.058%
2016-05-15T21:00:27	Jocelyn Larouche	Manual testing	270000	4860000	6	-		-	-	0.050	-	-	3.413%
2016-09-22T12:02:52	Jocelyn Larouche	low 4M	270000	5832000	6	-		-	-	0.055	-	-	3.551%
2016-11-07T03:11:22	Jocelyn Larouche	low 4M	324000	324000		-		-	-	0.031	-	-	1.482%
2017-02-01T15:35:58	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.881%
2017-03-11T17:42:34	mikr	S052	3600000	180000000	12	-		-	-	1.259	-	-	8.563%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:04	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.075	-	-
2009-01-02T21:08:00	Sturle Sunde	gorky.ifi	2⁶⁰	2⁶¹		-	-	0.075	-	-
2012-03-11T17:47:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.149	-	-
2013-09-01T20:20:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.478	-	-
2015-04-21T09:19:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.955	-	-
2015-04-21T09:19:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.818	-	-
2015-11-03T10:10:05	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.636	-	-
2016-08-18T20:55:12	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	7.272	-	-
2019-03-24T00:15:08	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.54	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.929 GHz-days
Estimated T-Level:	22.089

Digits	B1	Curves	Complete	FacMiss
20	11000	117 / 100	1.170	30.854%
25	50000	117 / 280	0.418	65.796%

New Calculation Method

Total ECM effort:	9.929 GHz-days
Estimated T-Level:	22.089

Digits	B1	Complete	FacMiss
20	11000	3.774	2.296%
25	50000	0.341	71.098%
30	250000	0.021	97.921%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		114	9.67
50000	5000000	154226859428210957143361	3	0.255

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-07T18:35:00	Smurgs	Praca	50000	5000000						3	0.255
2009-10-24T21:07:00	KAMCOBILL	PC01	50000	5000000						3	0.255
2011-04-15T08:49:00	Lupo	yorick	50000	5000000						3	0.255
2013-03-07T05:14:00	Donna Noble	CCI_PH2_955	50000	5000000						3	0.255
2014-04-08T12:07:00	OS1	L3	50000	5000000						3	0.255
2015-07-13T01:57:00	guru	w1	50000	5000000						3	0.255
2016-02-19T10:37:43	Bruce	Desk8	50000	5000000						3	0.255
2016-05-05T22:58:52	Bruce	Desk6	50000	5000000						3	0.255
2016-07-18T00:04:45	Bruce	test	50000	5000000						3	0.255
2016-12-16T13:42:23	Bruce	Desk6	50000	5000000						3	0.255
2017-07-01T06:08:09	Bruce	Desk6	50000	5000000						3	0.255
2017-12-04T15:39:27	Sebastian Hornbostel	V2	50000	5000000						3	0.255
2018-04-14T03:29:28	Bruce	Desk6	50000	5000000						3	0.255
2018-10-03T22:09:37	Bruce	Desk6	50000	5000000						3	0.255
2019-12-27T18:38:02	TheJudger	myECM	50000	5000000						3	0.255
2020-01-01T04:17:06	TheJudger	myECM	50000	5000000						3	0.255
2020-01-06T21:20:37	Bommer	3900X	50000	5000000						3	0.255
2020-01-14T23:26:24	EricP	Cannonfodder	50000	5000000						3	0.255
2020-01-27T19:52:15	mnd9	kitchen	50000	5000000						3	0.255
2020-02-06T03:02:06	Alvin Bunk	BADCAT	50000	5000000						3	0.255
2020-02-13T08:30:22	mnd9	f4b	50000	5000000						3	0.255
2020-02-20T13:06:59	EricP	Cannonfodder	50000	5000000						3	0.255
2020-02-27T14:23:03	mnd9	27016b	50000	5000000						3	0.255
2020-03-05T06:00:51	Keysarecool	HPLaptop	50000	5000000						3	0.255
2020-03-11T19:36:55	EricP	Cannonfodder	50000	5000000						3	0.255
2020-03-21T15:33:19	mnd9	libproj	50000	5000000						3	0.255
2020-03-31T08:16:40	mnd9	221Rb	50000	5000000						3	0.255
2020-04-13T12:41:38	Keysarecool	HPLaptop	50000	5000000						3	0.255
2020-04-24T06:24:23	mnd9	office2	50000	5000000						3	0.255
2020-05-01T22:41:08	mnd9	libproj	50000	5000000						3	0.255
2020-05-13T16:53:51	MarkS	laptop64	50000	5000000						3	0.255
2020-05-19T16:32:41	mnd9	libproj	50000	5000000						3	0.255
2020-05-29T11:11:16	alpertron	laptop3	50000	5000000						3	0.255
2020-06-17T12:53:59	mnd9	25836b	50000	5000000						3	0.255
2020-06-30T04:03:44	Sergey Nosov	TS140-02	50000	5000000						3	0.255
2020-07-06T18:04:25	mnd9	f4b	50000	5000000						3	0.255
2020-07-08T01:42:47	GAN	KL-SCH05	50000	5000000						3	0.255
2020-07-19T04:04:56	daveward2005	Dave2	50000	5000000	154226859428210957143361	77.029	3	2		3	0.255
2020-08-11T00:50:51	mnd9	75211frontb	50000	5000000						3	0.255

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	ANONYMOUS	v4_computers	2DD57649113EA2C9	0.135

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 = 3600000, B2 = 180000000 (P-1 stage 2)

B1 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 3600000 (P-1 stage 1)

B1 = 2500000 (P-1 stage 1)

B1 = 270000, B2 = 5832000 (P-1 stage 2)

B1 = 270000, B2 = 4860000 (P-1 stage 2)

B1 = 324000 (P-1 stage 1)

B1 = 135000, B2 = 2902500 (P-1 stage 2)

B1 = 270000 (P-1 stage 1)

B1 = 166228 (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 = 4000 (P-1 stage 1)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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