M68732597 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

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	6.9556	61.9718%	740000	16465000	6.1901	5.6528%	13.1458	64.1215%	2.1496%
PrimeNet	2⁷⁰	3.4765	61.4286%	300000	13000000	3.8455	5.3831%	7.3220	63.5049%	2.0764%
GPU72	2⁷⁴	55.6630	63.5135%	450000	15000000	4.8177	3.9409%	60.4808	64.9514%	1.4379%
Difference	-3	-48.7074	-1.5417%	+290000	+1465000	+1.3724	+1.7118%	-47.3350	-0.8300%	-0.8300%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷¹

6.9556

61.9718%

740000

16465000

6.1901

5.6528%

13.1458

64.1215%

2.1496%

PrimeNet

2⁷⁰

3.4765

61.4286%

300000

13000000

3.8455

5.3831%

7.3220

63.5049%

2.0764%

GPU72

2⁷⁴

55.6630

63.5135%

450000

15000000

4.8177

3.9409%

60.4808

64.9514%

1.4379%

Difference

-3

-48.7074

-1.5417%

+290000

+1465000

+1.3724

+1.7118%

-47.3350

-0.8300%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
68732597	38581272099521396937933401	26	84.996	280662115091631100 2² × 5² × 821 × 295591 × 11565101	2013-10-20	295591	11565101	63,417	3.5262	4.5623

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

68732597

38581272099521396937933401

84.996

280662115091631100
2² × 5² × 821 × 295591 × 11565101

2013-10-20

295591

11565101

63,417

3.5262

4.5623

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-10-20T09:38:00	Jwb52z	Clay	740000	16465000			38581272099521396937933401	26	84.996	6.190	367.5	12.38	5.653%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-03-08T00:00:00	mdrg	v4_computers	2¹	2⁶⁰		-	-	0.002	-	-
2004-07-26T00:00:00	mdrg	v4_computers	2¹	2⁶¹		-	-	0.004	-	-
2008-10-27T00:25:00	1997rj7	Manual testing	2¹	2⁶⁴		-	-	0.052	-	-
2010-01-28T05:18:00	Frank Balzer	BerlinOrgano	2⁶⁴	2⁶⁵		-	-	0.054	-	-
2010-04-07T20:15:00	ANONYMOUS		2⁶⁵	2⁶⁶		-	-	0.109	-	-
2010-04-22T09:17:00	Team_Inspector	spudboy2	2⁶⁶	2⁶⁷		-	-	0.217	-	-
2010-04-29T10:36:00	Scuder	posao_laptop	2⁶⁷	2⁶⁸		-	-	0.435	-	-
2010-04-30T14:54:00	GrunwalderGIMP	compute-0-7	2⁶⁸	2⁶⁹		-	-	0.870	-	-
2012-03-15T07:45:00	qwertyuio999	PC6	2⁶⁹	2⁷⁰		-	-	1.740	-	-
2012-08-05T13:27:00	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	3.479	-	-

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 = 740000, B2 = 16465000 (P-1 stage 2)

B1 = 740000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶¹

2⁶⁰

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