M15 136 279 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	63.1816	66.6667%	180000	3825000	0.2753	2.5863%	63.4569	67.5288%
Target	2⁶⁹	7.8875	65.2174%	100000	2600000	0.1718	2.9973%	8.0592	66.2599%
Difference	+3	+55.2941	+1.4493%	+80000	+1225000	+0.1035	-0.4110%	+55.3976	+1.2688%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15136279	490781379119144007232183	24	78.699	16212088159816029 3 × 13 × 1459 × 37409 × 7616281	2022-10-18	37409	7616281	4,735.1	0.3275	0.5636

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-10-07	ANONYMOUS	v4_computers	180000	3825000		-		-	-	0.275	-	-	2.586%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2022-10-18	ATH	ec2-P_1	1000000	29000000	2	7	490781379119144007232183	P-1	24	78.699	2.094

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	-	-
2000-12-31	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.003	-	-
2001-01-21	marnes	v4_computers	2¹	2⁶⁵		-	-	0.482	-	-
2016-03-16	Mark Rose	Manual testing	2⁶⁵	2⁶⁶		-	-	0.494	-	-
2014-05-14	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.987	-	-
2017-01-23	Conductor	Manual testing	2⁶⁷	2⁶⁸		-	-	1.975	-	-
2017-10-11	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.950	-	-
2021-06-29	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	7.899	-	-
2021-09-02	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	15.80	-	-
2021-10-15	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	31.60	-	-

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
2016-11-28	Summy	WDG	50000	5000000						1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-11-16	ANONYMOUS	v4_computers	CE2B2CDF4C60B1__	7.591
2006-02-01	ANONYMOUS	v4_computers	CE2B2CDF4C60B1__	7.591

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 = 180000, B2 = 3825000 (P-1 stage 2)

B1 = 180000 (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