M72685433 Mersenne number exponent details

Residue

Status

L-L

0A51049AAF9A1C__

needs double-check

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	105.2743	64.0000%	615000	10455000	4.4626	3.4829%	109.7369	65.2538%	1.2538%
PrimeNet	2⁷⁰	3.2875	61.4286%	320000	14000000	4.1300	5.5364%	7.4174	63.5640%	2.1355%
GPU72	2⁷⁴	52.6359	63.5135%	500000	17000000	5.4234	4.1223%	58.0594	65.0176%	1.5041%
Difference	+1	+52.6384	+0.4865%	+115000	-6545000	-0.9609	-0.6395%	+51.6775	+0.2362%	+0.2362%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

105.2743

64.0000%

615000

10455000

4.4626

3.4829%

109.7369

65.2538%

1.2538%

PrimeNet

2⁷⁰

3.2875

61.4286%

320000

14000000

4.1300

5.5364%

7.4174

63.5640%

2.1355%

GPU72

2⁷⁴

52.6359

63.5135%

500000

17000000

5.4234

4.1223%

58.0594

65.0176%

1.5041%

Difference

+52.6384

+0.4865%

+115000

-6545000

-0.9609

-0.6395%

+51.6775

+0.2362%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2015-09-11T20:12:00	tsc	xw6600-31	615000	10455000		-		-	-	4.463	-	-	3.483%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2015-09-11T20:12:00

tsc

xw6600-31

615000

10455000

4.463

-

-

3.483%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2002-06-02T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2008-09-19T11:27:00	Wojciech Florek	Manual testing	2¹	2⁶⁴		-	-	0.049	-	-
2010-06-07T20:16:00	Kevin Jaget	Laptop	2⁶⁴	2⁶⁵		-	-	0.051	-	-
2010-08-31T23:46:00	Kevin Jaget	Laptop	2⁶⁵	2⁶⁶		-	-	0.103	-	-
2010-09-06T07:11:00	wurkfur	Cobb_ID_Scanner	2⁶⁶	2⁶⁷		-	-	0.206	-	-
2010-09-13T08:45:00	stefan_2106	maikes_machine	2⁶⁷	2⁶⁸		-	-	0.411	-	-
2010-09-18T03:15:00	Kevin Jaget	Manual testing	2⁶⁸	2⁶⁹		-	-	0.822	-	-
2013-05-11T02:41:00	ANONYMOUS		2⁶⁹	2⁷⁰		-	-	1.645	-	-
2013-07-04T02:28:00	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	3.290	-	-
2015-03-11T15:29:00	srow7	Manual testing	2⁷¹	2⁷²		-	-	6.580	-	-
2015-08-24T08:41:00	Fredrik	Manual testing	2⁷²	2⁷³		-	-	13.16	-	-
2015-09-04T13:48:00	Guido Lorenzini	Manual testing	2⁷³	2⁷⁴		-	-	26.32	-	-
2015-09-04T13:48:00	Guido Lorenzini	Manual testing	2⁷⁴	2⁷⁵		-	-	52.64	-	-

date	userid	compid	res64	spent (GHz-days)
2015-10-15T09:02:56	curtisc	sc133a-01f	0A51049AAF9A1C__	194.3

date

userid

compid

res64

spent (GHz-days)

2015-10-15T09:02:56

curtisc

sc133a-01f

0A51049AAF9A1C__

194.3

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 = 615000, B2 = 10455000 (P-1 stage 2)

B1 = 615000 (P-1 stage 1)

10⁴

10⁵

10⁶

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