M50004413 Mersenne number exponent details

Residue

Status

L-L

3296B2B5D32E9436

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	2⁷⁵	153.0247	65.3333%	1800000	50000000	11.7571	5.0780%	164.7817	67.0937%	1.7604%
PrimeNet	2⁶⁹	2.3875	62.3188%	220000	9000000	1.8551	5.1318%	4.2426	64.2526%	1.9337%
GPU72	2⁷³	38.2535	64.3836%	340000	11000000	2.4459	3.7861%	40.6994	65.7320%	1.3485%
Difference	+2	+114.7712	+0.9498%	+1460000	+39000000	+9.3112	+1.2919%	+124.0823	+1.3617%	+1.3617%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

153.0247

65.3333%

1800000

50000000

11.7571

5.0780%

164.7817

67.0937%

1.7604%

PrimeNet

2⁶⁹

2.3875

62.3188%

220000

9000000

1.8551

5.1318%

4.2426

64.2526%

1.9337%

GPU72

2⁷³

38.2535

64.3836%

340000

11000000

2.4459

3.7861%

40.6994

65.7320%

1.3485%

Difference

+114.7712

+0.9498%

+1460000

+39000000

+9.3112

+1.2919%

+124.0823

+1.3617%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
50004413	2473715449713801051296749921	28	90.999	24734971388563255920 2⁴ × 3 × 5 × 23 × 2111 × 82847 × 25621663	2019-02-02	82847	25621663	8,465,918	3.9161	6.9256

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

50004413

2473715449713801051296749921

90.999

24734971388563255920
2⁴ × 3 × 5 × 23 × 2111 × 82847 × 25621663

2019-02-02

82847

25621663

8,465,918

3.9161

6.9256

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-10-27T01:09:00	Quester	Work_PC7_P4_3.2	595000	13982500		-		-	-	3.518	-	-	3.515%
2019-02-02T14:46:33	mikr	S065	1800000	50000000	6		2473715449713801051296749921	28	90.999	11.76	183.2	23.51	5.078%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-10-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.39963e-5	-	-
1999-12-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.39963e-5	-	-
2000-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.79927e-5	-	-
2000-03-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
2008-07-10T21:55:00	George Woltman	Manual testing	2¹	2⁶⁴		-	-	0.071	-	-
2009-02-07T16:01:00	linded	KCTZ73M	2⁶⁴	2⁶⁵		-	-	0.075	-	-
2009-02-09T09:00:00	linded	KCTZ73M	2⁶⁵	2⁶⁶		-	-	0.149	-	-
2009-02-11T04:32:00	tmorrow	Moo3	2⁶⁶	2⁶⁷		-	-	0.299	-	-
2009-09-21T02:52:00	SAHS Physics Club	Physics_Club_1	2⁶⁷	2⁶⁸		-	-	0.598	-	-
2009-11-01T07:25:00	Texaport	EE3000nat	2⁶⁸	2⁶⁹		-	-	1.196	-	-
2011-12-19T03:11:00	Greg	Manual testing	2⁶⁹	2⁷⁰		-	-	2.391	-	-
2012-01-16T09:16:00	Bdot	Manual testing	2⁷⁰	2⁷¹		-	-	4.782	-	-
2012-02-01T01:37:00	Kevin Jaget	Manual testing	2⁷¹	2⁷²		-	-	9.56	-	-
2015-04-02T02:20:00	monst	Manual testing	2⁷²	2⁷³		-	-	19.13	-	-
2017-02-08T21:00:06	Bruno Victal	Manual testing	2⁷³	2⁷⁴		-	-	38.26	-	-
2017-02-08T21:00:08	Bruno Victal	Manual testing	2⁷⁴	2⁷⁵		-	-	76.51	-	-

date	userid	compid	res64	spent (GHz-days)
2013-03-13T03:55:00	Steve Jacobson	p4s2800a	3296B2B5D32E9436	91.61
2016-11-02T10:31:45	ANONYMOUS	lwj	3296B2B5D32E9436	91.61

date

userid

compid

res64

spent (GHz-days)

2013-03-13T03:55:00

Steve Jacobson

p4s2800a

3296B2B5D32E9436

91.61

2016-11-02T10:31:45

ANONYMOUS

lwj

3296B2B5D32E9436

91.61

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 = 1800000, B2 = 50000000 (P-1 stage 2)

B1 = 1800000 (P-1 stage 1)

B1 = 595000, B2 = 13982500 (P-1 stage 2)

B1 = 595000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

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