M5846891 Mersenne number exponent details

Residue

Status

L-L

C4B77D951E5BC0F4

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	5.0820	65.6716%	65000	1088750	0.0310	2.4679%	5.1130	66.5188%	0.8472%
PrimeNet	2⁶²	0.1051	62.9032%	24000	550000	0.0135	3.1935%	0.1186	64.0879%	1.1847%
GPU72	2⁶⁶	2.5259	65.1515%	36000	800000	0.0199	2.2813%	2.5458	65.9465%	0.7950%
Difference	+1	+2.5561	+0.5201%	+29000	+288750	+0.0111	+0.1866%	+2.5672	+0.5723%	+0.5723%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

5.0820

65.6716%

65000

1088750

0.0310

2.4679%

5.1130

66.5188%

0.8472%

PrimeNet

2⁶²

0.1051

62.9032%

24000

550000

0.0135

3.1935%

0.1186

64.0879%

1.1847%

GPU72

2⁶⁶

2.5259

65.1515%

36000

800000

0.0199

2.2813%

2.5458

65.9465%

0.7950%

Difference

+2.5561

+0.5201%

+29000

+288750

+0.0111

+0.1866%

+2.5672

+0.5723%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
5846891	23867055743449112399	20	64.372	2041003991989 2041003991989	2011-05-18	1	2041003991989	1.1467	28,575	53,370

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

5846891

23867055743449112399

64.372

2041003991989
2041003991989

2011-05-18

2041003991989

1.1467

28,575

53,370

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-01-08T00:00:00	ANONYMOUS	v4_computers	20000	20000		-		-	-	0.005	-	-	0.382%
2011-02-28T04:14:00	harlee	P4_2600	65000	1088750		-		-	-	0.031	-	-	2.468%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-05-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.053	-	-
1998-06-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.105	-	-
2009-03-24T02:41:00	GrunwalderGIMP	Manual testing	2⁶²	2⁶³		-	-	0.168	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Curves	Complete	FacMiss

New Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Complete	FacMiss

ECM Summary

B1	B2	factor	curves	GHz-days
		23867055743449112399	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2011-05-18T08:00:00	JimBa	T6101			23867055743449112399	64.372		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-10-25T00:00:00	ANONYMOUS	v4_computers	C4B77D951E5BC0F4	1.036
2001-01-28T00:00:00	ANONYMOUS	v4_computers	C4B77D951E5BC0F4	1.036

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T19:04:09

kkmrkkblmbrbk

Manual testing

23867055743449112399

A73237713E1C22__

2018-08-30T04:30:30

Luigi Morelli

CS50X-C9

23867055743449112399

A73237713E1C22__

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 = 65000, B2 = 1088750 (P-1 stage 2)

B1 = 65000 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

TF factor-bounds graph:

2⁶⁷

2⁶³

2⁶²

2⁶¹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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