M118 682 063 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	257.9005	64.9351%	716000	82811610	34.7451	4.5514%	292.6456	66.5310%
Target	2⁷⁶	128.9495	64.4737%	800000	140000000	56.1408	4.2123%	185.0903	65.9702%
Difference	+1	+128.9510	+0.4614%	-84000	-57188390	-21.3957	+0.3391%	+107.5553	+0.5609%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁷

257.9005

64.9351%

716000

82811610

34.7451

4.5514%

292.6456

66.5310%

Target

2⁷⁶

128.9495

64.4737%

800000

140000000

56.1408

4.2123%

185.0903

65.9702%

Difference

+128.9510

+0.4614%

-84000

-57188390

-21.3957

+0.3391%

+107.5553

+0.5609%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2023-08-09	carye788	WIN16-PLC-SVR	716000	82811610		-		-	-	34.75	-	-	4.551%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2023-08-09

carye788

WIN16-PLC-SVR

716000

82811610

34.75

-

-

4.551%

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	sasaki3	mate_ma2	2⁶⁴	2⁶⁵		-	-	0.031	-	-
2012-07-17	sasaki3	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	-	-
2021-04-28	hkt	Manual testing	2⁷⁴	2⁷⁵		-	-	32.24	-	-
2021-06-29	Kriesel	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 = 716000, B2 = 82811610 (P-1 stage 2)

B1 = 716000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

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