M2875489 Mersenne number exponent details

Residue

Status

L-L

6444A9A1DF580E21

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	10.3335	67.1642%	125000	2812500	0.0304	3.1313%	10.3639	68.1924%	1.0282%
PrimeNet	2⁵⁹	0.0267	62.7119%	13000	240000	0.0028	2.9976%	0.0295	63.8296%	1.1177%
GPU72	2⁶³	0.5550	65.0794%	16000	280000	0.0034	1.8702%	0.5584	65.7325%	0.6531%
Difference	+4	+9.7785	+2.0848%	+109000	+2532500	+0.0270	+1.2610%	+9.8055	+2.4599%	+2.4599%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

10.3335

67.1642%

125000

2812500

0.0304

3.1313%

10.3639

68.1924%

1.0282%

PrimeNet

2⁵⁹

0.0267

62.7119%

13000

240000

0.0028

2.9976%

0.0295

63.8296%

1.1177%

GPU72

2⁶³

0.5550

65.0794%

16000

280000

0.0034

1.8702%

0.5584

65.7325%

0.6531%

Difference

+9.7785

+2.0848%

+109000

+2532500

+0.0270

+1.2610%

+9.8055

+2.4599%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2875489	63538730638481063431	20	65.784	11048334846435 3⁵ × 5 × 9093279709	2015-07-31	243	9093279709	4.9419	55.484	103.63

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2875489

63538730638481063431

65.784

11048334846435
3⁵ × 5 × 9093279709

2015-07-31

243

9093279709

4.9419

55.484

103.63

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-11-28T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.303%
2009-07-03T00:57:00	Carsten Kossendey	leela	15000	161250		-		-	-	0.003	-	-	0.847%
2010-12-23T00:29:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.324%
2011-01-22T22:18:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.006	-	-	0.635%
2011-02-07T16:37:00	markr	tiny	125000	2812500		-		-	-	0.030	-	-	3.131%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-02-12T22:34:00	Sturle Sunde	gopher.ifi	2⁶⁰	2⁶¹		-	-	0.053	-	-
2012-01-21T11:59:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.107	-	-
2013-01-07T13:47:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.341	-	-
2015-04-21T09:21:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.683	-	-
2015-04-21T09:21:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.299	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.942 GHz-days
Estimated T-Level:	0.450

Digits	B1	Curves	Complete	FacMiss
20	11000	9 / 100	0.090	91.352%
25	50000	9 / 280	0.032	96.831%

New Calculation Method

Total ECM effort:	0.942 GHz-days
Estimated T-Level:	0.450

Digits	B1	Complete	FacMiss
20	11000	0.346	70.740%
25	50000	0.032	96.848%
30	250000	0.002	99.798%

ECM Summary

B1	B2	factor	curves	GHz-days
		63538730638481063431	1	0.00000e+0
50000	5000000		9	0.942

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-26T04:55:00	S00030	pc-1002	50000	5000000						3	0.314
2011-01-13T00:30:00	Wolfgang Fluck	C91F72025	50000	5000000						3	0.314
2013-04-25T19:28:00	Donna Noble	Opt6128x4x4	50000	5000000						3	0.314
2015-07-31T00:50:00	KAMCOBILL	PC20			63538730638481063431	65.784		1		1	-

date	userid	compid	res64	spent (GHz-days)
1999-05-30T00:00:00	ANONYMOUS	v4_computers	6444A9A1DF580E21	0.222

date

userid

compid

res64

spent (GHz-days)

1999-05-30T00:00:00

ANONYMOUS

v4_computers

6444A9A1DF580E21

0.222

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-23T08:30:49

Oliver Kruse

GTX-3

63538730638481063431

0289668BF778B5__

2017-12-08T01:32:09

kkmrkkblmbrbk

c4.xlarge

63538730638481063431

0289668BF778B5__

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 = 125000, B2 = 2812500 (P-1 stage 2)

B1 = 125000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 15000, B2 = 161250 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

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