M15 186 331 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
Actual	2⁷²	62.9733	66.6667%	175000	2493750	0.2191	2.3271%	63.1925	67.4424%
Target	2⁶⁹	7.8615	65.2174%	100000	20800000	0.8929	2.9988%	8.7543	66.2604%
Difference	+3	+55.1119	+1.4493%	+75000	-18306250	-0.6737	-0.6717%	+54.4381	+1.1819%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15186331	359902522457948060331607	24	78.252	11849554789038513 3⁶ × 359 × 13633 × 3321151	2023-03-30	13633	3321151	4,373.9	0.1410	0.2458

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-06-29	ANONYMOUS	v4_computers	175000	2493750		-		-	-	0.219	-	-	2.327%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2023-03-30	ATH	ec2-P_1	1000000	29000000	2	7	359902522457948060331607	P-1	24	78.252	2.193

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-12-31	Net_Force	v4_computers	2¹	2⁵⁷		-	-	0.001	-	-
2001-01-08	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.003	-	-
2001-02-04	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.480	-	-
2013-09-16	David Campeau	Manual testing	2⁶⁵	2⁶⁶		-	-	0.492	-	-
2014-05-14	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.984	-	-
2017-12-29	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	1.968	-	-
2017-12-29	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.937	-	-
2021-07-06	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	7.873	-	-
2021-09-03	LaurV	GPU72_TF	2⁷⁰	2⁷¹		-	-	15.75	-	-
2021-10-10	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	31.49	-	-

ECM factoring results:

Total ECM effort:	0.763 GHz-days
Estimated T-Level:	0.192

Digits	B1	Complete	FacMiss
20	11000	0.038	96.227%
25	50000	0.004	99.645%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		1	0.763

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-11-29	fireredd	ont-st-2	50000	5000000						1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2003-04-27	ANONYMOUS	v4_computers	545C5BF5C4254834	7.616
2005-09-22	ANONYMOUS	v4_computers	545C5BF5C4254834	7.616

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 = 1000000, B2 = 29000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 175000, B2 = 2493750 (P-1 stage 2)

B1 = 175000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁸

2⁵⁷

this exponent TF target: 69

TF double-checked to: 67.8

ECM T-Level=0.19 ~= -16-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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