M14018573 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷¹	34.1032	66.1972%	6000000	6000000	3.8600	4.1253%	37.9632	70.3225%	7.2455%
PrimeNet	2⁶⁵	0.5204	63.0769%	60000	1900000	0.1031	4.0027%	0.6235	67.0796%	4.0027%
GPU72	2⁶⁹	8.5163	65.2174%	90000	2400000	0.1389	2.8536%	8.6552	68.0710%	2.8536%
Difference	+2	+25.5869	+0.9798%	+5910000	+3600000	+3.7212	+1.2716%	+29.3080	+2.2514%	+2.2514%

	GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
14018573	5318855395301721240161	22	72.172	189707447230960 2⁴ × 5 × 19 × 139 × 269 × 3337903	269	3337903	2020-09-26	92.735	0.1172	0.2185
14018573	63580734348894934266923905132639	32	105.648	2267732041945172817052203 3² × 11 × 61 × 227 × 367 × 569 × 2715523 × 2917219	2715523	2917219	2020-09-26	1.344e+10	1.7541	3.5554

exponent	prime factors	composite factor	digits	bits*
14018573	5318855395301721240161 63580734348894934266923905132639	33817673192886529143189425329611199179664195227871 4879	54	177.820

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-12-22T00:00:00	ANONYMOUS	v4_computers	150000	1837500		-		-	-	0.156	-	-	2.329%
2020-09-26T17:26:34	masser	Manual testing	6000000	6000000			5318855395301721240161 63580734348894934266923905132639	54	177.820	3.860	12.44	7.720	4.125%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-09-08T00:00:00	ITS	v4_computers	?	2⁶⁵		-	-	0.267	-	-
2014-07-22T14:09:00	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.533	-	-
2015-08-19T08:18:00	Tha	Manual testing	2⁶⁶	2⁶⁷		-	-	1.066	-	-
2018-03-09T10:45:42	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	2.132	-	-
2018-03-09T10:45:42	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	4.264	-	-
2020-04-08T20:02:47	masser	Manual testing	2⁶⁹	2⁷⁰		-	-	8.529	-	-
2020-07-05T12:14:25	masser	Manual testing	2⁷⁰	2⁷¹		-	-	17.06	-	-

ECM factoring results:

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		4	2.699

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-09-02T12:55:30	ANONYMOUS	bb	50000	5000000						1	0.675
2020-09-23T15:06:03	masser	Manual testing	50000	5000000						3	2.024

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-02-17T00:00:00	ANONYMOUS	v4_computers	F3CCC813FD9D2310	6.220
2005-03-20T00:00:00	ANONYMOUS	v4_computers	F3CCC813FD9D2310	6.220

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 = 6000000 (stage 1)

B1 = 150000, B2 = 1837500 (stage 2)

B1 = 150000 (stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

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	<	123M	PrimeNet wavefront