M15 143 287 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	126.3163	67.1233%	480000	454342350	18.3314	6.2227%	144.6477	69.1691%
Target	2⁶⁹	7.8838	65.2174%	100000	13000000	0.5838	2.9975%	8.4676	66.2600%
Difference	+4	+118.4325	+1.9059%	+380000	+441342350	+17.7476	+3.2252%	+136.1801	+2.9091%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15143287	2901875425192119152044877064649678783	37	121.126	95813921547947917517672255193 3² × 11 × 23 × 79 × 1093 × 6091 × 135101 × 720617 × 821801	2022-11-02	720617	821801	1.154e+10	0.5281	1.0665

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	225000	225000		-		-	-	0.164	-	-	0.905%
2002-08-17	ANONYMOUS	v4_computers	170000	2167500		-		-	-	0.203	-	-	1.990%
2023-10-22	nordi	sweet16_30.8b14	480000	480000		-		-	-	0.349	-	-	1.326%
2023-11-04	nordi	sweet16_30.8b14	480000	454342350		-		-	-	18.33	-	-	6.223%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2022-11-02	ATH	ec2-P_1	1000000	1000000	2	7	2901875425192119152044877064649678783	P-1	37	121.126	1.105

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	-	-
2001-04-08	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.482	-	-
2016-03-16	Mark Rose	Manual testing	2⁶⁵	2⁶⁶		-	-	0.493	-	-
2014-05-14	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.987	-	-
2017-12-24	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	1.974	-	-
2017-12-24	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.948	-	-
2021-06-30	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	7.896	-	-
2021-08-25	Chuck	GPU72_TF	2⁷⁰	2⁷¹		-	-	15.79	-	-
2021-09-16	Dylan Delgado	GPU72_TF	2⁷¹	2⁷²		-	-	31.58	-	-
2021-12-01	Dylan Delgado	GPU72_TF	2⁷²	2⁷³		-	-	63.16	-	-

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
2016-11-26	Xolotl	thunder-gpu-17	50000	5000000						1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-10-19	ANONYMOUS	v4_computers	A55A0706E29B0931	7.595
2006-10-24	ANONYMOUS	v4_computers	A55A0706E29B0931	7.595

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 = 480000, B2 = 454342350 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 480000 (P-1 stage 1)

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

B1 = 225000 (P-1 stage 1)

B1 = 170000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁸

2⁵⁷

this exponent TF target: 69

TF double-checked to: 67.9

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

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

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