M117 827 803 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	259.7703	64.9351%	1000000	553545720	208.2794	6.2751%	468.0498	67.1354%
Target	2⁷⁶	129.8844	64.4737%	800000	140000000	56.1408	4.2087%	186.0252	65.9689%
Difference	+1	+129.8859	+0.4614%	+200000	+413545720	+152.1387	+2.0664%	+282.0246	+1.1666%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁷

259.7703

64.9351%

1000000

553545720

208.2794

6.2751%

468.0498

67.1354%

Target

2⁷⁶

129.8844

64.4737%

800000

140000000

56.1408

4.2087%

186.0252

65.9689%

Difference

+129.8859

+0.4614%

+200000

+413545720

+152.1387

+2.0664%

+282.0246

+1.1666%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2023-05-02	Mihai Preda	x2	1000000	553545720		-		-	-	208.3	-	-	6.275%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2023-05-02

Mihai Preda

1000000

553545720

208.3

-

-

6.275%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-05-12	sannerud.com	Jim2010	2⁶³	2⁶⁴		-	-	0.017	-	-
2010-10-12	Charles A. Morris	magnetar	2⁶⁴	2⁶⁵		-	-	0.032	-	-
2012-07-09	sasaki3		2⁶⁵	2⁶⁶		-	-	0.063	-	-
2014-12-13	vwflat4	mail1	2⁶⁶	2⁶⁷		-	-	0.127	-	-
2015-03-22	junkcalc	Manual testing	2⁶⁷	2⁶⁸		-	-	0.254	-	-
2015-03-22	junkcalc	Manual testing	2⁶⁸	2⁶⁹		-	-	0.507	-	-
2015-04-05	SMoffat	Manual testing	2⁶⁹	2⁷⁰		-	-	1.015	-	-
2015-04-22	Josh Famestad	Manual testing	2⁷⁰	2⁷¹		-	-	2.029	-	-
2015-05-12	Ondrej Vainlich	1400MHz	2⁷¹	2⁷²		-	-	4.059	-	-
2019-11-29	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	8.118	-	-
2019-11-29	Niels_Mache_Nextcloud	Manual testing	2⁷³	2⁷⁴		-	-	16.24	-	-
2021-06-07	cacheflush	Manual testing	2⁷⁴	2⁷⁵		-	-	32.47	-	-
2021-07-02	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	64.94	-	-
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 = 1000000, B2 = 553545720 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

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