M59636569 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	2⁷³	32.0750	64.3836%	555000	10406250	3.5167	4.0809%	35.5917	65.8370%	1.4535%
PrimeNet	2⁶⁹	2.0019	62.3188%	260000	12000000	2.8979	5.6466%	4.8998	64.4466%	2.1277%
GPU72	2⁷³	32.0750	64.3836%	400000	14000000	3.6753	4.1499%	35.7503	65.8616%	1.4780%
Difference	-	-	-	+155000	-3593750	-0.1586	-0.0690%	-0.1586	-0.0246%	-0.0246%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷³

32.0750

64.3836%

555000

10406250

3.5167

4.0809%

35.5917

65.8370%

1.4535%

PrimeNet

2⁶⁹

2.0019

62.3188%

260000

12000000

2.8979

5.6466%

4.8998

64.4466%

2.1277%

GPU72

2⁷³

32.0750

64.3836%

400000

14000000

3.6753

4.1499%

35.7503

65.8616%

1.4780%

Difference

+155000

-3593750

-0.1586

-0.0690%

-0.1586

-0.0246%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
59636569	142805156199906713570257	24	76.918	1197295204892712 2³ × 3 × 1583 × 7109 × 4433029	2012-12-14	7109	4433029	470.59	0.7997	1.4531

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

59636569

142805156199906713570257

76.918

1197295204892712
2³ × 3 × 1583 × 7109 × 4433029

2012-12-14

7109

4433029

470.59

0.7997

1.4531

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2012-12-14T18:01:00	Jwb52z	Clay	555000	10406250			142805156199906713570257	24	76.918	3.517	265.0	7.033	4.081%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2012-12-14T18:01:00

Jwb52z

Clay

555000

10406250

142805156199906713570257

76.918

3.517

265.0

7.033

4.081%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.01206e-5	-	-
2000-03-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.02412e-5	-	-
2000-06-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2000-06-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
Missing TF 56 - 57
Missing TF 57 - 58
Missing TF 58 - 59
Missing TF 59 - 60
Missing TF 60 - 61
Missing TF 61 - 62
Missing TF 62 - 63
2008-03-31T19:13:00	monst	guinness	2⁶³	2⁶⁴		-	-	0.033	-	-
2008-11-15T05:49:00	linded	LKAH998	2⁶⁴	2⁶⁵		-	-	0.063	-	-
2008-11-15T15:38:00	Niklot	Pribislaw	2⁶⁵	2⁶⁶		-	-	0.125	-	-
2008-11-16T04:09:00	Sturle Sunde	bakeng.ifi	2⁶⁶	2⁶⁷		-	-	0.251	-	-
2008-11-16T19:13:00	Sturle Sunde	bakeng.ifi	2⁶⁷	2⁶⁸		-	-	0.501	-	-
2009-12-18T15:23:00	Gordon Houtman	HP_Pavilion	2⁶⁸	2⁶⁹		-	-	1.002	-	-
2011-10-30T17:30:00	TheJudger	Manual testing	2⁶⁹	2⁷¹		-	-	6.015	-	-
2012-11-13T01:59:00	Kyle Askine	Manual testing	2⁷¹	2⁷²		-	-	8.019	-	-
2012-11-13T01:59:00	Kyle Askine	Manual testing	2⁷²	2⁷³		-	-	16.04	-	-

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 = 555000, B2 = 10406250 (P-1 stage 2)

B1 = 555000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

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