M85654669 Mersenne number exponent details

Residue

Status

L-L

80CF7C298C0A51__

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	2⁷⁶	178.6709	64.4737%	715000	13763750	6.6594	3.4771%	185.3303	65.7090%	1.2353%
PrimeNet	2⁷¹	5.5815	61.9718%	360000	17000000	5.9153	5.3861%	11.4967	64.0201%	2.0482%
GPU72	2⁷⁵	89.3344	64.0000%	550000	19000000	7.2631	3.9479%	96.5975	65.4212%	1.4212%
Difference	+1	+89.3365	+0.4737%	+165000	-5236250	-0.6037	-0.4708%	+88.7327	+0.2877%	+0.2877%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

178.6709

64.4737%

715000

13763750

6.6594

3.4771%

185.3303

65.7090%

1.2353%

PrimeNet

2⁷¹

5.5815

61.9718%

360000

17000000

5.9153

5.3861%

11.4967

64.0201%

2.0482%

GPU72

2⁷⁵

89.3344

64.0000%

550000

19000000

7.2631

3.9479%

96.5975

65.4212%

1.4212%

Difference

+89.3365

+0.4737%

+165000

-5236250

-0.6037

-0.4708%

+88.7327

+0.2877%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-01-30T09:17:05	Stoyan Furnadzhiev	CTORH-OFFICE	715000	13763750	6	-		-	-	6.659	-	-	3.477%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-27T19:20:00	Architects Cubed	m1_65	2⁶⁴	2⁶⁵		-	-	0.044	-	-
2012-08-23T15:48:00	america64	Manual testing	2⁶⁵	2⁶⁶		-	-	0.087	-	-
2013-06-17T12:48:00	Lukin Dmitry	Manual testing	2⁶⁶	2⁶⁷		-	-	0.174	-	-
2013-08-23T02:02:00	ANONYMOUS		2⁶⁷	2⁶⁸		-	-	0.349	-	-
2013-09-04T00:53:00	ANONYMOUS		2⁶⁸	2⁶⁹		-	-	0.698	-	-
2013-11-10T23:49:00	SMoffat	Manual testing	2⁶⁹	2⁷⁰		-	-	1.396	-	-
2013-12-16T00:06:00	SRS Technology	Manual testing	2⁷⁰	2⁷¹		-	-	2.792	-	-
2013-12-16T00:06:00	SRS Technology	Manual testing	2⁷¹	2⁷²		-	-	5.584	-	-
2017-03-09T09:26:51	Strolling Jellyfish	Manual testing	2⁷²	2⁷³		-	-	11.17	-	-
2017-04-30T14:55:34	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	22.33	-	-
2017-10-01T15:11:28	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	44.67	-	-
2017-10-01T15:11:28	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	89.34	-	-

date	userid	compid	res64	spent (GHz-days)
2018-12-03T11:22:55	CJCorley	Regents2x3.2G7010	80CF7C298C0A51__	275.9

date

userid

compid

res64

spent (GHz-days)

2018-12-03T11:22:55

CJCorley

Regents2x3.2G7010

80CF7C298C0A51__

275.9

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 = 715000, B2 = 13763750 (P-1 stage 2)

B1 = 715000 (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