M118 682 129 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁷	257.9004	64.9351%	1000000	36000000	19.4651	4.1306%	277.3655	66.3835%
Target	2⁷⁶	128.9494	64.4737%	800000	140000000	56.1408	4.2123%	185.0902	65.9702%
Difference	+1	+128.9509	+0.4614%	+200000	-104000000	-36.6757	-0.0817%	+92.2753	+0.4133%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁷

257.9004

64.9351%

1000000

36000000

19.4651

4.1306%

277.3655

66.3835%

Target

2⁷⁶

128.9494

64.4737%

800000

140000000

56.1408

4.2123%

185.0902

65.9702%

Difference

+128.9509

+0.4614%

+200000

-104000000

-36.6757

-0.0817%

+92.2753

+0.4133%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2023-08-15	Teal Dulcet	Oracle ARM	1000000	36000000		-		-	-	19.47	-	-	4.131%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2023-08-15

Teal Dulcet

Oracle ARM

1000000

36000000

19.47

-

-

4.131%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-05-14	Donna Noble	Phenom9550	2⁶³	2⁶⁴		-	-	0.017	-	-
2010-10-14	Thomas Stork	Rainbow	2⁶⁴	2⁶⁵		-	-	0.031	-	-
2012-07-17	sasaki3		2⁶⁵	2⁶⁶		-	-	0.063	-	-
2014-06-02	snme2pm1	Manual testing	2⁶⁶	2⁶⁷		-	-	0.126	-	-
2014-07-08	snme2pm1	Manual testing	2⁶⁷	2⁶⁸		-	-	0.252	-	-
2014-08-01	snme2pm1	Manual testing	2⁶⁸	2⁶⁹		-	-	0.504	-	-
2014-08-23	snme2pm1	Manual testing	2⁶⁹	2⁷⁰		-	-	1.007	-	-
2015-02-07	snme2pm1	Manual testing	2⁷⁰	2⁷¹		-	-	2.015	-	-
2015-06-02	Josh Famestad	Manual testing	2⁷¹	2⁷²		-	-	4.030	-	-
2021-05-24	ViliamF	Manual testing	2⁷¹	2⁷²		-	-	4.030	-	-
2017-07-11	snme2pm1	Manual testing	2⁷²	2⁷³		-	-	8.059	-	-
2019-06-22	Niels_Mache_Nextcloud	Manual testing	2⁷³	2⁷⁴		-	-	16.12	-	-
2021-07-04	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	32.24	-	-
2021-07-04	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	64.48	-	-
2022-05-11	TheJudger	Manual testing	2⁷⁶	2⁷⁷		-	-	129.0	-	-

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 = 36000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷⁷

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 76

TF double-checked to: 67.9

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