M62826059 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	60.8962	64.8649%	550000	550000	1.8734	1.5596%	62.7695	65.4128%	0.5480%
PrimeNet	2⁷⁰	3.8034	62.8571%	260000	12000000	3.0643	5.1510%	6.8676	64.7704%	1.9132%
GPU72	2⁷⁴	60.8962	64.8649%	400000	13000000	3.7007	3.7281%	64.5969	66.1747%	1.3099%
Difference	-	-	-	+150000	-12450000	-1.8273	-2.1684%	-1.8273	-0.7619%	-0.7619%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

60.8962

64.8649%

550000

1.8734

1.5596%

62.7695

65.4128%

0.5480%

PrimeNet

2⁷⁰

3.8034

62.8571%

260000

12000000

3.0643

5.1510%

6.8676

64.7704%

1.9132%

GPU72

2⁷⁴

60.8962

64.8649%

400000

13000000

3.7007

3.7281%

64.5969

66.1747%

1.3099%

Difference

+150000

-12450000

-1.8273

-2.1684%

-1.8273

-0.7619%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
62826059	6971119617292915006902751	25	82.528	55479523371766125 3 × 5³ × 79 × 811 × 11701 × 197347	2013-08-21	11701	197347	25,258	0.0743	0.0811

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

62826059

6971119617292915006902751

82.528

55479523371766125
3 × 5³ × 79 × 811 × 11701 × 197347

2013-08-21

11701

197347

25,258

0.0743

0.0811

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-08-21T12:11:00	Jwb52z	Clay	550000	550000			6971119617292915006902751	25	82.528	1.873	295.2	3.747	1.560%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-13T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2022-03-30T01:49:21	LordJulius	Manual testing	2¹	2⁶³		-	-	0.025	-	-
2009-02-03T12:13:00	Wojciech Florek	armada4	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-02-26T17:14:00	Scorpu	scorp	2⁶⁴	2⁶⁵		-	-	0.059	-	-
2009-02-28T16:13:00	Gymnasium_Raubling	d4	2⁶⁵	2⁶⁶		-	-	0.119	-	-
2009-03-02T21:05:00	Gymnasium_Raubling	d4	2⁶⁶	2⁶⁷		-	-	0.238	-	-
2009-08-10T04:37:00	Carlos "casep" Sepulveda	tests	2⁶⁷	2⁶⁸		-	-	0.476	-	-
2009-10-07T15:57:00	Willtech	Willtech	2⁶⁸	2⁶⁹		-	-	0.952	-	-
2012-04-14T09:11:00	Piotrek2234		2⁶⁹	2⁷⁰		-	-	1.903	-	-
2013-03-21T22:40:00	Jerry Hallett	Manual testing	2⁷⁰	2⁷¹		-	-	3.806	-	-
2013-03-21T22:40:00	Jerry Hallett	Manual testing	2⁷¹	2⁷²		-	-	7.612	-	-
2013-03-21T22:40:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	15.22	-	-
2013-08-16T17:00:00	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	30.45	-	-

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 = 550000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

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