M15 537 701 Mersenne number exponent details

Residue

Status

L-L

4E569046C8644A76

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁵	492.4737	68.0000%	3000000	2332962450	94.4964	8.2368%	586.9700	70.6358%
Target	2⁶⁹	7.6837	65.2174%	110000	14000000	0.6303	3.1118%	8.3140	66.2998%
Difference	+6	+484.7900	+2.7826%	+2890000	+2318962450	+93.8661	+5.1250%	+578.6560	+4.3360%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁵

492.4737

68.0000%

3000000

2332962450

94.4964

8.2368%

586.9700

70.6358%

Target

2⁶⁹

7.6837

65.2174%

110000

14000000

0.6303

3.1118%

8.3140

66.2998%

Difference

+484.7900

+2.7826%

+2890000

+2318962450

+93.8661

+5.1250%

+578.6560

+4.3360%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-08-10	Special_Ed	v4_computers	195000	4631250		-		-	-	0.318	-	-	1.958%
2003-06-23	Special_Ed	v4_computers	195000	4631250		-		-	-	0.318	-	-	1.958%
2022-03-27	Denial140	i5-8400	3000000	2332962450		-		-	-	94.50	-	-	8.237%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-01-21	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2001-02-11	Net_Force	v4_computers	2¹	2⁵⁹		-	-	0.005	-	-
2001-07-17	Mike Curtis	v4_computers	2¹	2⁶¹		-	-	0.020	-	-
2002-01-08	Team Prime Rib	v4_computers	2¹	2⁶⁵		-	-	0.470	-	-
2013-10-07	David Campeau	Manual testing	2⁶⁵	2⁶⁶		-	-	0.481	-	-
2013-12-28	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.962	-	-
2018-03-11	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	1.924	-	-
2018-03-11	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.848	-	-
2021-06-04	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	7.695	-	-
2021-09-07	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	15.39	-	-
2021-09-15	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	30.78	-	-
2022-02-03	Anton Repko	Manual testing	2⁷²	2⁷⁴		-	-	184.7	-	-
2022-04-10	Denial140	Manual testing	2⁷⁴	2⁷⁵		-	-	246.2	-	-

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
2016-12-18	ATH	ec2-8x	50000	5000000						1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-08-24	Special_Ed	v4_computers	4E569046C8644A76	7.793
2003-06-23	Special_Ed	v4_computers	4E569046C8644A76	7.793
2005-11-13	ebravick	v4_computers	4E569046C8644A76	7.793

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 = 3000000, B2 = 2332962450 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 195000, B2 = 4631250 (P-1 stage 2)

B1 = 195000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶¹

2⁵⁹

2⁵⁸

this exponent TF target: 69

TF double-checked to: 67.9

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