M117 780 521 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	259.8746	64.9351%	754000	124805100	50.3060	4.8851%	310.1806	66.6480%
Target	2⁷⁶	129.9365	64.4737%	800000	140000000	56.1408	4.2085%	186.0773	65.9688%
Difference	+1	+129.9380	+0.4614%	-46000	-15194900	-5.8347	+0.6766%	+124.1033	+0.6792%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁷

259.8746

64.9351%

754000

124805100

50.3060

4.8851%

310.1806

66.6480%

Target

2⁷⁶

129.9365

64.4737%

800000

140000000

56.1408

4.2085%

186.0773

65.9688%

Difference

+129.9380

+0.4614%

-46000

-15194900

-5.8347

+0.6766%

+124.1033

+0.6792%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2023-04-23	Mark Rose	leonardo	754000	124805100		-		-	-	50.31	-	-	4.885%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2023-04-23

Mark Rose

leonardo

754000

124805100

50.31

-

-

4.885%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-05-12	carlos56	celeron1	2⁶³	2⁶⁴		-	-	0.017	-	-
2010-10-12	Donna Noble	ATH2-630-temp	2⁶⁴	2⁶⁵		-	-	0.032	-	-
2012-07-15	Richard	172.26.176.51	2⁶⁵	2⁶⁶		-	-	0.063	-	-
2015-01-22	ANONYMOUS	xx02	2⁶⁶	2⁶⁷		-	-	0.127	-	-
2015-03-22	chorian11	Manual testing	2⁶⁷	2⁶⁸		-	-	0.254	-	-
2015-03-22	chorian11	Manual testing	2⁶⁸	2⁶⁹		-	-	0.508	-	-
2015-03-22	chorian11	Manual testing	2⁶⁹	2⁷⁰		-	-	1.015	-	-
2015-03-22	chorian11	Manual testing	2⁷⁰	2⁷¹		-	-	2.030	-	-
2015-09-19	sourcebinary.com	Manual testing	2⁷¹	2⁷²		-	-	4.061	-	-
2019-12-05	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	8.121	-	-
2019-12-05	Niels_Mache_Nextcloud	Manual testing	2⁷³	2⁷⁴		-	-	16.24	-	-
2021-02-24	hkt	Manual testing	2⁷⁴	2⁷⁵		-	-	32.48	-	-
2021-07-02	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	64.97	-	-
2022-05-08	TheJudger	Manual testing	2⁷⁶	2⁷⁷		-	-	129.9	-	-

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 = 754000, B2 = 124805100 (P-1 stage 2)

B1 = 754000 (P-1 stage 1)

10⁴

10⁵

10⁶

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