M25252603 Mersenne number exponent details

Residue

Status

L-L

16E60E1D1DD2471B

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	2⁷¹	18.9318	64.7887%	300000	7425000	0.8551	3.8594%	19.7870	66.1477%	1.3589%
PrimeNet	2⁶⁶	0.5848	62.1212%	110000	4000000	0.4000	4.9842%	0.9849	64.0092%	1.8880%
GPU72	2⁷⁰	9.4624	64.2857%	180000	5500000	0.5838	3.7377%	10.0462	65.6206%	1.3349%
Difference	+1	+9.4694	+0.5030%	+120000	+1925000	+0.2713	+0.1217%	+9.7407	+0.5271%	+0.5271%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷¹

18.9318

64.7887%

300000

7425000

0.8551

3.8594%

19.7870

66.1477%

1.3589%

PrimeNet

2⁶⁶

0.5848

62.1212%

110000

4000000

0.4000

4.9842%

0.9849

64.0092%

1.8880%

GPU72

2⁷⁰

9.4624

64.2857%

180000

5500000

0.5838

3.7377%

10.0462

65.6206%

1.3349%

Difference

+9.4694

+0.5030%

+120000

+1925000

+0.2713

+0.1217%

+9.7407

+0.5271%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
25252603	165287295932838750889	21	67.164	3272678383548 2² × 3 × 7 × 1231 × 31649437	2011-10-14	1231	31649437	1.7577	2.1441	4.0018

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

25252603

165287295932838750889

67.164

3272678383548
2² × 3 × 7 × 1231 × 31649437

2011-10-14

1231

31649437

1.7577

2.1441

4.0018

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-07-26T00:00:00	Sturle Sunde	v4_computers	300000	7425000		-		-	-	0.855	-	-	3.859%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-10-14T03:11:00	Carsten Kossendey	Manual testing	?	?	165287295932838750889	67.164	21	0.581	44.08	1.184
2001-08-12T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-08-24T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2004-01-07T00:00:00	markr	v4_computers	2¹	2⁶²		-	-	0.024	-	-
2004-04-20T00:00:00	kevshaw	v4_computers	2¹	2⁶⁷		-	-	1.177	-	-
2011-10-14T03:11:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁷¹	MISSED FACTOR!	-	-	17.76	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-08-20T00:00:00	Sturle Sunde	v4_computers	16E60E1D1DD2471B	21.64

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 = 300000, B2 = 7425000 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷¹

2⁶⁷

2⁶²

2⁵⁸

2⁵⁶

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