M25473263 Mersenne number exponent details

Residue

Status

L-L

C6A7E5861E797FC6

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	300.3898	66.6667%	380000	380000	0.4722	1.0049%	300.8620	67.0016%	0.3350%
PrimeNet	2⁶⁶	0.5798	62.1212%	120000	4500000	0.4456	5.1688%	1.0254	64.0791%	1.9579%
GPU72	2⁷⁰	9.3804	64.2857%	180000	5500000	0.5838	3.7421%	9.9643	65.6222%	1.3365%
Difference	+5	+291.0094	+2.3810%	+200000	-5120000	-0.1116	-2.7371%	+290.8977	+1.3795%	+1.3795%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

300.3898

66.6667%

380000

0.4722

1.0049%

300.8620

67.0016%

0.3350%

PrimeNet

2⁶⁶

0.5798

62.1212%

120000

4500000

0.4456

5.1688%

1.0254

64.0791%

1.9579%

GPU72

2⁷⁰

9.3804

64.2857%

180000

5500000

0.5838

3.7421%

9.9643

65.6222%

1.3365%

Difference

+291.0094

+2.3810%

+200000

-5120000

-0.1116

-2.7371%

+290.8977

+1.3795%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2005-02-02T00:00:00	ANONYMOUS	v4_computers	380000	380000		-		-	-	0.472	-	-	1.005%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-08-12T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-09-30T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2001-11-03T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2004-06-04T00:00:00	Dmuchawiec	v4_computers	2¹	2⁶⁷		-	-	1.166	-	-
2016-01-15T21:26:00	VictordeHollander	Manual testing	2⁶⁷	2⁶⁸		-	-	1.173	-	-
2017-06-02T15:28:47	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	2.347	-	-
2017-06-02T15:28:47	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	4.694	-	-
2021-06-21T06:35:15	mikr	Manual testing	2⁷⁰	2⁷¹		-	-	9.387	-	-
2021-08-28T19:11:42	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	18.77	-	-
2021-08-28T19:11:42	TheJudger	Manual testing	2⁷²	2⁷³		-	-	37.55	-	-
2021-09-30T20:07:14	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	75.10	-	-
2021-10-19T16:34:22	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	150.2	-	-

date	userid	compid	res64	spent (GHz-days)
2005-05-28T00:00:00	ANONYMOUS	v4_computers	C6A7E5861E797FC6	21.83
2011-02-06T16:00:00	Fred Cirera		C6A7E5861E797FC6	21.83

date

userid

compid

res64

spent (GHz-days)

2005-05-28T00:00:00

ANONYMOUS

v4_computers

C6A7E5861E797FC6

21.83

2011-02-06T16:00:00

Fred Cirera

C6A7E5861E797FC6

21.83

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)

10⁴

10⁵

10⁶

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