M25772137 Mersenne number exponent details

Residue

Status

L-L

43911D437BB902DB

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	18.5502	64.7887%	380000	380000	0.4722	1.6471%	19.0224	65.3687%	0.5800%
PrimeNet	2⁶⁶	0.5730	62.1212%	120000	4500000	0.4456	5.1768%	1.0187	64.0821%	1.9609%
GPU72	2⁷⁰	9.2717	64.2857%	190000	5500000	0.5956	3.7795%	9.8672	65.6355%	1.3498%
Difference	+1	+9.2785	+0.5030%	+190000	-5120000	-0.1234	-2.1324%	+9.1551	-0.2668%	-0.2668%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷¹

18.5502

64.7887%

380000

0.4722

1.6471%

19.0224

65.3687%

0.5800%

PrimeNet

2⁶⁶

0.5730

62.1212%

120000

4500000

0.4456

5.1768%

1.0187

64.0821%

1.9609%

GPU72

2⁷⁰

9.2717

64.2857%

190000

5500000

0.5956

3.7795%

9.8672

65.6355%

1.3498%

Difference

+9.2785

+0.5030%

+190000

-5120000

-0.1234

-2.1324%

+9.1551

-0.2668%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
25772137	249698361003744344729	21	67.759	4844347230572 2² × 83 × 14591407321	2011-11-08	83	14591407321	1.8689	987.82	1,845.0

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

25772137

249698361003744344729

67.759

4844347230572
2² × 83 × 14591407321

2011-11-08

14591407321

1.8689

987.82

1,845.0

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2005-03-06T00:00:00	ANONYMOUS	v4_computers	380000	380000		-		-	-	0.472	-	-	1.647%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-11-08T06:12:00	Carsten Kossendey	Manual testing	?	?	249698361003744344729	67.759	21	0.716	45.06	1.461
2001-08-12T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2004-04-20T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.024	-	-
2004-04-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.024	-	-
2004-07-02T00:00:00	JonnyO	v4_computers	2¹	2⁶⁷		-	-	1.153	-	-
2011-11-08T06:12:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁷¹	MISSED FACTOR!	-	-	17.40	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-07-17T00:00:00	ANONYMOUS	v4_computers	43911D437BB902DB	22.09

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 = 380000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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