M117 744 551 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	259.9540	64.9351%	460000	9545000	6.3947	2.8570%	266.3487	65.9369%
Target	2⁷⁶	129.9762	64.4737%	800000	140000000	56.1408	4.2083%	186.1170	65.9688%
Difference	+1	+129.9777	+0.4614%	-340000	-130455000	-49.7461	-1.3513%	+80.2317	-0.0319%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁷

259.9540

64.9351%

460000

9545000

6.3947

2.8570%

266.3487

65.9369%

Target

2⁷⁶

129.9762

64.4737%

800000

140000000

56.1408

4.2083%

186.1170

65.9688%

Difference

+129.9777

+0.4614%

-340000

-130455000

-49.7461

-1.3513%

+80.2317

-0.0319%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2023-04-27	Sebastian Hornbostel	Manual testing	460000	9545000	6	-		-	-	6.395	-	-	2.857%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2023-04-27

Sebastian Hornbostel

Manual testing

460000

9545000

6.395

-

-

2.857%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-05-12	BOM	C2Q-2667	2⁶³	2⁶⁴		-	-	0.017	-	-
2010-10-12	oilwarzonedotcom	b2bwebserver	2⁶⁴	2⁶⁵		-	-	0.032	-	-
2012-07-08	sasaki3	SASAKI3	2⁶⁵	2⁶⁶		-	-	0.063	-	-
2014-12-11	tsc	hpxw6600-32	2⁶⁶	2⁶⁷		-	-	0.127	-	-
2015-03-22	SMoffat	Manual testing	2⁶⁷	2⁶⁸		-	-	0.254	-	-
2015-04-19	SMoffat	Manual testing	2⁶⁸	2⁶⁹		-	-	0.508	-	-
2015-04-26	William Wallace	Manual testing	2⁶⁹	2⁷⁰		-	-	1.015	-	-
2015-04-30	Hinesp	C742F5B97	2⁷⁰	2⁷¹		-	-	2.031	-	-
2015-05-08	SMoffat	Manual testing	2⁷¹	2⁷²		-	-	4.062	-	-
2019-12-08	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	8.124	-	-
2019-12-08	Niels_Mache_Nextcloud	Manual testing	2⁷³	2⁷⁴		-	-	16.25	-	-
2021-02-23	jwnutter	Manual testing	2⁷⁴	2⁷⁵		-	-	32.49	-	-
2021-02-23	jwnutter	Manual testing	2⁷⁵	2⁷⁶		-	-	64.99	-	-
2022-05-08	TheJudger	Manual testing	2⁷⁶	2⁷⁷		-	-	130.0	-	-

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 = 460000, B2 = 9545000 (P-1 stage 2)

B1 = 460000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

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