M5795267 Mersenne number exponent details

Residue

Status

L-L

F4811F3ED58C02EE

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	5.1273	65.6716%	65000	1088750	0.0310	2.4645%	5.1583	66.5177%	0.8460%
PrimeNet	2⁶²	0.1060	62.9032%	24000	550000	0.0135	3.1888%	0.1195	64.0862%	1.1829%
GPU72	2⁶⁶	2.5484	65.1515%	36000	800000	0.0199	2.2779%	2.5683	65.9453%	0.7938%
Difference	+1	+2.5789	+0.5201%	+29000	+288750	+0.0111	+0.1866%	+2.5900	+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

5.1273

65.6716%

65000

1088750

0.0310

2.4645%

5.1583

66.5177%

0.8460%

PrimeNet

2⁶²

0.1060

62.9032%

24000

550000

0.0135

3.1888%

0.1195

64.0862%

1.1829%

GPU72

2⁶⁶

2.5484

65.1515%

36000

800000

0.0199

2.2779%

2.5683

65.9453%

0.7938%

Difference

+2.5789

+0.5201%

+29000

+288750

+0.0111

+0.1866%

+2.5900

+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
5795267	701514018235509969599	21	69.249	60524736671797 227 × 266628795911	2011-05-31	227	266628795911	24.785	3,733.0	6,972.1

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

5795267

701514018235509969599

69.249

60524736671797
227 × 266628795911

2011-05-31

227

266628795911

24.785

3,733.0

6,972.1

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-06-12T23:15:00	Carsten Kossendey	leela	30000	405000		-		-	-	0.013	-	-	1.588%
2011-05-28T09:10:00	harlee	P4_2600	65000	1088750		-		-	-	0.031	-	-	2.464%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.053	-	-
1998-06-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.106	-	-
2009-02-02T05:24:00	GrunwalderGIMP	Manual testing	2⁶²	2⁶³		-	-	0.169	-	-

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
		701514018235509969599	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2011-05-31T21:15:00	JimBa	T6101			701514018235509969599	69.249		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-10-04T00:00:00	ANONYMOUS	v4_computers	F4811F3ED58C02EE	1.027
2000-11-25T00:00:00	ANONYMOUS	v4_computers	F4811F3ED58C02EE	1.027

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T19:21:11

kkmrkkblmbrbk

Manual testing

701514018235509969599

284FA996CCFA86__

2018-08-11T20:07:41

ATH

ec2-PRPCFDC

701514018235509969599

284FA996CCFA86__

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 = 30000, B2 = 405000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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