M104 500 391 Mersenne number exponent details

Residue

Status

L-L

E8FA00E6ACEDE4__

needs double-check

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁷	292.9000	64.9351%	883000	279145020	92.6241	5.5467%	385.5241	66.8800%
Target	2⁷⁶	146.4492	64.4737%	650000	24000000	11.0973	3.9247%	157.5465	65.8680%
Difference	+1	+146.4508	+0.4614%	+233000	+255145020	+81.5268	+1.6220%	+227.9776	+1.0120%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁷⁷

292.9000

64.9351%

883000

279145020

92.6241

5.5467%

385.5241

66.8800%

Target

2⁷⁶

146.4492

64.4737%

650000

24000000

11.0973

3.9247%

157.5465

65.8680%

Difference

+146.4508

+0.4614%

+233000

+255145020

+81.5268

+1.6220%

+227.9776

+1.0120%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2020-09-12	Boris and Moe	farmboy	935000	935000		-		-	-	5.398	-	-	1.501%
2023-02-07	James Heinrich	7950X	883000	279145020		-		-	-	92.62	-	-	5.547%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-18	xtreme	xtreme3	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-27	kiwiboy	bis	2⁶⁴	2⁶⁵		-	-	0.036	-	-
2012-05-05	tsc	vista2	2⁶⁵	2⁶⁶		-	-	0.072	-	-
2014-05-23	Yury Vorobyov	Manual testing	2⁶⁶	2⁶⁷		-	-	0.143	-	-
2014-11-15	Houd Al-Obaidli	hpi7	2⁶⁷	2⁶⁸		-	-	0.286	-	-
2015-01-01	Simon Harrison	Manual testing	2⁶⁸	2⁶⁹		-	-	0.572	-	-
2015-01-02	Ilya Alexandrov	Manual testing	2⁶⁹	2⁷⁰		-	-	1.144	-	-
2015-01-02	Ilya Alexandrov	Manual testing	2⁷⁰	2⁷¹		-	-	2.288	-	-
2015-01-02	Ilya Alexandrov	Manual testing	2⁷¹	2⁷²		-	-	4.577	-	-
2020-03-02	bayanne	GPU72_TF	2⁷²	2⁷³		-	-	9.153	-	-
2020-03-04	Hans Loeblich	Manual testing	2⁷³	2⁷⁴		-	-	18.31	-	-
2020-03-07	LaurV	Manual testing	2⁷⁴	2⁷⁵		-	-	36.61	-	-
2020-09-06	Alexander Pavlicin	GPU72_TF	2⁷⁵	2⁷⁶		-	-	73.23	-	-
2020-09-09	RichD0	GPU72_TF	2⁷⁶	2⁷⁷		-	-	146.5	-	-

date	userid	compid	res64	spent (GHz-days)
2020-10-12	Boris and Moe	farmboy	E8FA00E6ACEDE4__	416.1

date

userid

compid

res64

spent (GHz-days)

2020-10-12

Boris and Moe

farmboy

E8FA00E6ACEDE4__

416.1

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 = 883000, B2 = 279145020 (P-1 stage 2)

B1 = 935000 (P-1 stage 1)

B1 = 883000 (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: 67.7

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