M65065883 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	Prob over default TF
Actual	2⁷⁴	58.7999	64.8649%	580000	10295000	3.9017	3.7517%	62.7016	66.1830%	1.3182%
PrimeNet	2⁷⁰	3.6724	62.8571%	280000	13000000	3.4224	5.2997%	7.0948	64.8256%	1.9685%
GPU72	2⁷⁴	58.7999	64.8649%	450000	14000000	4.1794	3.8623%	62.9792	66.2219%	1.3570%
Difference	-	-	-	+130000	-3705000	-0.2777	-0.1106%	-0.2777	-0.0389%	-0.0389%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

58.7999

64.8649%

580000

10295000

3.9017

3.7517%

62.7016

66.1830%

1.3182%

PrimeNet

2⁷⁰

3.6724

62.8571%

280000

13000000

3.4224

5.2997%

7.0948

64.8256%

1.9685%

GPU72

2⁷⁴

58.7999

64.8649%

450000

14000000

4.1794

3.8623%

62.9792

66.2219%

1.3570%

Difference

+130000

-3705000

-0.2777

-0.1106%

-0.2777

-0.0389%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
65065883	2746772891636685701006927	25	81.184	21107627876476261 37 × 3079 × 224467 × 825421	2013-09-30	224467	825421	14,371	0.9047	1.6068

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

65065883

2746772891636685701006927

81.184

21107627876476261
37 × 3079 × 224467 × 825421

2013-09-30

224467

825421

14,371

0.9047

1.6068

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-09-30T07:12:00	Jwb52z	Clay	580000	10295000			2746772891636685701006927	25	81.184	3.902	315.7	7.803	3.752%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-10-31T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2004-02-23T00:00:00	1997rj7	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2022-03-30T15:46:14	LordJulius	Manual testing	2⁶⁰	2⁶⁴		-	-	0.052	-	-
2009-03-19T02:05:00	arnaud	SRV-410	2⁶⁴	2⁶⁵		-	-	0.057	-	-
2009-06-12T11:17:00	Mihai22		2⁶⁵	2⁶⁶		-	-	0.115	-	-
2010-02-24T09:25:00	ANONYMOUS	_	2⁶⁶	2⁶⁷		-	-	0.230	-	-
2010-02-27T18:18:00	sunithaya	boxx	2⁶⁷	2⁶⁸		-	-	0.459	-	-
2010-03-02T19:06:00	sunithaya	boxx	2⁶⁸	2⁶⁹		-	-	0.919	-	-
2012-03-27T20:20:00	vats09	Semp_7_64	2⁶⁹	2⁷⁰		-	-	1.838	-	-
2013-03-31T13:13:00	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	3.675	-	-
2013-09-20T07:45:00	Kyle Askine	Manual testing	2⁷¹	2⁷²		-	-	7.350	-	-
2013-09-20T07:45:00	Kyle Askine	Manual testing	2⁷²	2⁷³		-	-	14.70	-	-
2013-09-25T13:15:00	SWL551	Manual testing	2⁷³	2⁷⁴		-	-	29.40	-	-

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 = 580000, B2 = 10295000 (P-1 stage 2)

B1 = 580000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

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