M15 168 107 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	2⁷³	126.1096	67.1233%	170000	2167500	0.2028	1.9909%	126.3124	67.7778%
Target	2⁶⁹	7.8709	65.2174%	100000	2600000	0.1718	2.9982%	8.0427	66.2603%
Difference	+4	+118.2387	+1.9059%	+70000	-432500	+0.0310	-1.0074%	+118.2697	+1.5176%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15168107	14691445097250041041321	23	73.637	484287363520380 2² × 3² × 5 × 7 × 97187 × 3954799	2023-02-20	97187	3954799	137.58	0.2235	0.2927

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-03-16	ANONYMOUS	v4_computers	170000	2167500		-		-	-	0.203	-	-	1.991%
2003-03-07	curtisc	v4_computers	200000	200000		-		-	-	0.145	-	-	0.849%
2007-02-05	dswanson	v4_computers	85000	1636250		-		-	-	0.123	-	-	1.602%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2023-02-20	ATH	ec2-P_1	1000000	28000000	2	7	14691445097250041041321	P-1	23	73.637	2.154

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	-	-
2001-03-25	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.481	-	-
2016-03-16	Mark Rose	Manual testing	2⁶⁵	2⁶⁶		-	-	0.493	-	-
2014-05-14	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.985	-	-
2017-12-27	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	1.971	-	-
2017-12-27	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.941	-	-
2021-07-02	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	7.883	-	-
2021-08-23	Chuck	GPU72_TF	2⁷⁰	2⁷¹		-	-	15.77	-	-
2021-09-06	LaurV	GPU72_TF	2⁷¹	2⁷²		-	-	31.53	-	-
2021-10-20	Joe S.	GPU72_TF	2⁷²	2⁷³		-	-	63.06	-	-

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	ont2	50000	5000000						1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2003-05-11	curtisc	v4_computers	B2EA959F7236425B	7.607
2006-03-01	penguin22	v4_computers	CE2819118757AF9E	7.607
2007-02-20	dswanson	v4_computers	B2EA959F7236425B	7.607

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 = 28000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 170000, B2 = 2167500 (P-1 stage 2)

B1 = 200000 (P-1 stage 1)

B1 = 170000 (P-1 stage 1)

B1 = 85000, B2 = 1636250 (P-1 stage 2)

B1 = 85000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁸

2⁵⁷

this exponent TF target: 69

TF double-checked to: 67.7

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