M2638897 Mersenne number exponent details

Residue

Status

L-L

BCCF8BE844E28048

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	2⁶⁷	11.2600	67.1642%	2000000	60000000	0.5779	7.6896%	11.8379	69.6891%	2.5250%
PrimeNet	2⁵⁹	0.0291	62.7119%	11000	200000	0.0024	2.7023%	0.0315	63.7195%	1.0076%
GPU72	2⁶³	0.6048	65.0794%	13000	200000	0.0026	1.5735%	0.6074	65.6288%	0.5495%
Difference	+4	+10.6552	+2.0848%	+1987000	+59800000	+0.5753	+6.1162%	+11.2305	+4.0603%	+4.0603%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

11.2600

67.1642%

2000000

60000000

0.5779

7.6896%

11.8379

69.6891%

2.5250%

PrimeNet

2⁵⁹

0.0291

62.7119%

11000

200000

0.0024

2.7023%

0.0315

63.7195%

1.0076%

GPU72

2⁶³

0.6048

65.0794%

13000

200000

0.0026

1.5735%

0.6074

65.6288%

0.5495%

Difference

+10.6552

+2.0848%

+1987000

+59800000

+0.5753

+6.1162%

+11.2305

+4.0603%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2638897	28910363853611599927	20	64.648	5477736314379 3 × 7 × 47 × 4651 × 1193267	2010-06-23	4651	1193267	2.6295	0.0078	0.0136

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2638897

28910363853611599927

64.648

5477736314379
3 × 7 × 47 × 4651 × 1193267

2010-06-23

4651

1193267

2.6295

0.0078

0.0136

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-31T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.295%
2009-06-21T13:42:00	harlee	P4_2600	30000	420000		-		-	-	0.006	-	-	1.390%
2019-07-04T12:47:09	alpertron	Manual testing	2000000	60000000	12	-	skipped known factor: 28910363853611599927	-	-	0.578	-	-	7.690%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-26T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2022-03-11T04:28:50	LordJulius	Manual testing	2¹	2⁶⁰		-	-	0.058	-	-
2009-01-27T19:58:00	Sturle Sunde	kinner.ifi	2⁶⁰	2⁶¹		-	-	0.058	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.310 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

New Calculation Method

Total ECM effort:	0.310 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
		28910363853611599927	1	0.00000e+0
50000	5000000		3	0.310

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-07T21:44:00	Never Odd Or Even	G_Quad	50000	5000000						3	0.310
2010-06-23T22:03:00	KAMCOBILL	PC01			28910363853611599927	64.648		1		1	-

date	userid	compid	res64	spent (GHz-days)
1999-05-23T00:00:00	ANONYMOUS	v4_computers	BCCF8BE844E28048	0.204

date

userid

compid

res64

spent (GHz-days)

1999-05-23T00:00:00

ANONYMOUS

v4_computers

BCCF8BE844E28048

0.204

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-18T20:57:51

Oliver Kruse

GTX-3

28910363853611599927

31B951C7E24BEF__

2017-12-03T01:57:50

kkmrkkblmbrbk

c4.xlarge

28910363853611599927

31B951C7E24BEF__

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 = 2000000, B2 = 60000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 30000, B2 = 420000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

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