M15 122 501 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	63.2391	66.6667%	1500000	4336061730	172.8292	10.2362%	236.0683	70.0787%
Target	2⁶⁹	7.8946	65.2174%	100000	13000000	0.5838	2.9969%	8.4785	66.2598%
Difference	+3	+55.3445	+1.4493%	+1400000	+4323061730	+172.2453	+7.2393%	+227.5898	+3.8189%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15122501	19417184783570704930702131492084799775494055312713	50	163.732	641996478742858239212618716047193509046356 2² × 3² × 11 × 389 × 751 × 1847 × 5119 × 18743 × 80603 × 100279 × 349787 × 11076229	2022-03-13	349787	11076229	9.460e+9	0.6794	0.8196

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	Russ Jorgensen	v4_computers	145000	688750		-		-	-	0.127	-	-	1.571%
2018-03-24	riccardo uberti	Duallie-2	430000	9000000	12	-		-	-	0.652	-	-	3.566%
2022-03-13	Luminescence	5950X2	1500000	4336061730			19417184783570704930702131492084799775494055312713	50	163.732	172.8	15.17	345.7	10.236%

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	-	-
2001-04-21	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.482	-	-
2013-09-16	David Campeau	Manual testing	2⁶⁵	2⁶⁶		-	-	0.494	-	-
2014-05-14	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.988	-	-
2016-12-22	mikr	Manual testing	2⁶⁷	2⁶⁸		-	-	1.977	-	-
2017-10-10	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.953	-	-
2021-06-28	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	7.906	-	-
2021-09-02	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	15.81	-	-
2021-10-15	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	31.63	-	-

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
2016-11-24	ATH	xps	50000	5000000						1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-05-05	Russ Jorgensen	v4_computers	22168DC258E19EE6	7.584
2005-09-22	ANONYMOUS	v4_computers	22168DC258E19EE6	7.584

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 = 1500000, B2 = 4336061730 (P-1 stage 2)

B1 = 1500000 (P-1 stage 1)

B1 = 430000, B2 = 9000000 (P-1 stage 2)

B1 = 430000 (P-1 stage 1)

B1 = 145000, B2 = 688750 (P-1 stage 2)

B1 = 145000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

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

2¹⁴⁰

2¹⁵⁰

2¹⁶⁰

2¹⁷⁰

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