M84557281 Mersenne number exponent details

Residue

Status

L-L

E621F718EDCFC4__

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	180.9897	64.4737%	675000	13331250	6.1742	3.4239%	187.1638	65.6901%	1.2164%
PrimeNet	2⁷¹	5.6539	61.9718%	360000	17000000	5.7310	5.3778%	11.3849	64.0169%	2.0451%
GPU72	2⁷⁵	90.4938	64.0000%	550000	19000000	7.0369	3.9416%	97.5306	65.4190%	1.4190%
Difference	+1	+90.4959	+0.4737%	+125000	-5668750	-0.8627	-0.5177%	+89.6332	+0.2711%	+0.2711%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

180.9897

64.4737%

675000

13331250

6.1742

3.4239%

187.1638

65.6901%

1.2164%

PrimeNet

2⁷¹

5.6539

61.9718%

360000

17000000

5.7310

5.3778%

11.3849

64.0169%

2.0451%

GPU72

2⁷⁵

90.4938

64.0000%

550000

19000000

7.0369

3.9416%

97.5306

65.4190%

1.4190%

Difference

+90.4959

+0.4737%

+125000

-5668750

-0.8627

-0.5177%

+89.6332

+0.2711%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2017-11-22T16:10:26	Oliver Kruse	HalfPM1-0	675000	13331250	12	-		-	-	6.174	-	-	3.424%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-12-24T16:20:00	Architects Cubed	m1_74	2⁶⁴	2⁶⁵		-	-	0.044	-	-
2012-08-05T06:51:00	Carsten Kossendey	Manual testing	2⁶⁵	2⁶⁶		-	-	0.088	-	-
2013-08-18T09:22:00	Robish	Manual testing	2⁶⁶	2⁶⁷		-	-	0.177	-	-
2013-08-18T16:11:00	Robish	Manual testing	2⁶⁷	2⁶⁸		-	-	0.353	-	-
2013-08-19T17:42:00	Robish	Manual testing	2⁶⁸	2⁶⁹		-	-	0.707	-	-
2013-08-20T18:17:00	Robish	Manual testing	2⁶⁹	2⁷⁰		-	-	1.414	-	-
2013-11-12T05:15:00	Choi4KANG	boksa02	2⁷⁰	2⁷¹		-	-	2.828	-	-
2017-02-04T00:47:48	ANONYMOUS	Manual testing	2⁷¹	2⁷²		-	-	5.656	-	-
2017-02-04T00:47:48	ANONYMOUS	Manual testing	2⁷²	2⁷³		-	-	11.31	-	-
2017-02-04T00:47:48	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	22.62	-	-
2017-05-06T08:52:45	ktony	Manual testing	2⁷⁴	2⁷⁵		-	-	45.25	-	-
2017-05-06T08:52:45	ktony	Manual testing	2⁷⁵	2⁷⁶		-	-	90.50	-	-

date	userid	compid	res64	spent (GHz-days)
2018-10-02T23:12:00	jjknw	Gen3	E621F718EDCFC4__	263.9

date

userid

compid

res64

spent (GHz-days)

2018-10-02T23:12:00

jjknw

Gen3

E621F718EDCFC4__

263.9

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 = 675000, B2 = 13331250 (P-1 stage 2)

B1 = 675000 (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