M60181283 Mersenne number exponent details

Residue

Status

L-L

C47CF656EDE5C055

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	127.1476	65.3333%	705000	20092500	5.6735	3.9479%	132.8211	66.7019%	1.3686%
PrimeNet	2⁶⁹	1.9838	62.3188%	260000	12000000	2.8979	5.6529%	4.8817	64.4489%	2.1301%
GPU72	2⁷³	31.7847	64.3836%	400000	14000000	3.6753	4.1546%	35.4600	65.8633%	1.4797%
Difference	+2	+95.3629	+0.9498%	+305000	+6092500	+1.9982	-0.2067%	+97.3611	+0.8387%	+0.8387%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁵

127.1476

65.3333%

705000

20092500

5.6735

3.9479%

132.8211

66.7019%

1.3686%

PrimeNet

2⁶⁹

1.9838

62.3188%

260000

12000000

2.8979

5.6529%

4.8817

64.4489%

2.1301%

GPU72

2⁷³

31.7847

64.3836%

400000

14000000

3.6753

4.1546%

35.4600

65.8633%

1.4797%

Difference

+95.3629

+0.9498%

+305000

+6092500

+1.9982

-0.2067%

+97.3611

+0.8387%

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2011-09-09T07:06:00	monst	poincare	705000	20092500		-		-	-	5.673	-	-	3.948%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2011-09-09T07:06:00

monst

poincare

705000

20092500

5.673

-

-

3.948%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
2016-02-23T17:06:13	Mark Rose	Manual testing	2⁶⁰	2⁶³		-	-	0.024	-	-
2009-01-25T19:46:00	abc	C30D35CA5	2⁶³	2⁶⁴		-	-	0.033	-	-
2009-02-01T10:36:00	abc	C30D35CA5	2⁶⁴	2⁶⁵		-	-	0.062	-	-
2009-02-01T18:42:00	Sturle Sunde	haydn.ifi	2⁶⁵	2⁶⁶		-	-	0.124	-	-
2009-04-06T15:10:00	PrimeCruncher	Apollo7	2⁶⁶	2⁶⁷		-	-	0.248	-	-
2009-04-08T01:49:00	PrimeCruncher	Apollo7	2⁶⁷	2⁶⁸		-	-	0.497	-	-
2009-06-24T07:06:00	Millsie	Home	2⁶⁸	2⁶⁹		-	-	0.993	-	-
2011-11-24T23:09:00	amberjr	Manual testing	2⁶⁹	2⁷⁰		-	-	1.987	-	-
2011-11-24T23:09:00	amberjr	Manual testing	2⁷⁰	2⁷¹		-	-	3.973	-	-
2011-11-24T23:09:00	amberjr	Manual testing	2⁷¹	2⁷²		-	-	7.947	-	-
2012-11-12T10:51:00	Tom Duell	Manual testing	2⁷²	2⁷³		-	-	15.89	-	-
2014-01-10T09:59:00	Craig Meyers	Manual testing	2⁷³	2⁷⁴		-	-	31.79	-	-
2022-03-01T04:34:12	Smok_bmv	Manual testing	2⁷⁴	2⁷⁵		-	-	63.58	-	-

date	userid	compid	res64	spent (GHz-days)
2014-04-22T21:14:00	curtisc	hum115--03l	C47CF656EDE5C055	133.7
2021-05-23T16:56:36	Dan Nissen	nuisance	C47CF656EDE5C055	133.7

date

userid

compid

res64

spent (GHz-days)

2014-04-22T21:14:00

curtisc

hum115--03l

C47CF656EDE5C055

133.7

2021-05-23T16:56:36

Dan Nissen

nuisance

C47CF656EDE5C055

133.7

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 = 705000, B2 = 20092500 (P-1 stage 2)

B1 = 705000 (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