M1909003 Mersenne number exponent details

Residue

Status

L-L

1FBDD257E9C0B2D5

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	2⁶³	0.8360	66.6667%	500,000	15,000,000	0.1015	7.4324%	0.9375	74.0991%	10.9412%
PrimeNet	2⁵⁷	0.0101	63.1579%	9,000	160,000	0.0014	3.0407%	0.0114	66.1986%	3.0407%
GPU72	2⁶¹	0.1609	65.5738%	10,000	170,000	0.0015	1.7595%	0.1624	67.3333%	1.7595%
Difference	+2	+0.6751	+1.0929%	+490,000	+14,830,000	+0.1000	+5.6729%	+0.7751	+6.7658%	+6.7658%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶³

0.8360

66.6667%

500,000

15,000,000

0.1015

7.4324%

0.9375

74.0991%

10.9412%

PrimeNet

2⁵⁷

0.0101

63.1579%

9,000

160,000

0.0014

3.0407%

0.0114

66.1986%

3.0407%

GPU72

2⁶¹

0.1609

65.5738%

10,000

170,000

0.0015

1.7595%

0.1624

67.3333%

1.7595%

Difference

+0.6751

+1.0929%

+490,000

+14,830,000

+0.1000

+5.6729%

+0.7751

+6.7658%

	GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
1909003	438088136960062145890118315000876081	36	118.399	114742652829791819575484772680 2³ × 5 × 13 × 23 × 241 × 1087 × 7079 × 9871 × 92641 × 5657321	92,641	5,657,321	2011-06-13	8.879e+10	0.0311	0.0453

GHz-days

exponent

factor

digits

bits*

min B1

min B2

date found

min. TF

min. P-1

normal P-1

1909003

438088136960062145890118315000876081

118.399

114742652829791819575484772680
2³ × 5 × 13 × 23 × 241 × 1087 × 7079 × 9871 × 92641 × 5657321

92,641

5,657,321

2011-06-13

8.879e+10

0.0311

0.0453

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-06-13T08:26:00	kurly	kurlytop	500,000	15,000,000			438088136960062145890118315000876081	36	118.399	0.101	0.207	0.203	7.432%
2016-03-16T12:41:38	alpertron	Manual testing	500,000	15,000,000	12	-		-	-	0.101	-	-	7.432%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-04-14T00:00:00	GrunwalderGIMP	v4_computers	?	2⁵⁶		-	-	0.005	-	-
2011-04-14T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁶	2⁵⁷		-	-	0.005	-	-
2003-01-09T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁸		-	-	0.020	-	-
2011-04-14T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁷	2⁵⁸		-	-	0.010	-	-
2011-04-14T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁸	2⁵⁹		-	-	0.020	-	-
2011-04-14T00:00:00	GrunwalderGIMP	v4_computers	2⁵⁹	2⁶⁰		-	-	0.040	-	-
2011-04-14T00:00:00	GrunwalderGIMP	v4_computers	2⁶⁰	2⁶¹		-	-	0.080	-	-
2009-05-27T01:39:00	For Research	i4l_1	2⁶⁰	2⁶¹		-	-	0.080	-	-
2011-03-04T04:42:00	GrunwalderGIMP	GWPrime02	2⁶¹	2⁶²		-	-	0.161	-	-
2011-03-04T08:06:00	GrunwalderGIMP	GWPrime02	2⁶²	2⁶³		-	-	0.514	-	-

ECM factoring results:

ECM Summary

B1	B2	factor	curves	GHz-days
50,000	5,000,000		9	0.625

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-05T13:37:00	Lars Fricke	M2008	50,000	5,000,000						3	0.208
2009-07-29T23:44:00	SubPrime	abd1	50,000	5,000,000						3	0.208
2010-12-02T15:54:00	Csaba Vágó	timigep	50,000	5,000,000						3	0.208

date	userid	compid	res64	spent (GHz-days)
1998-12-21T00:00:00	ANONYMOUS	v4_computers	1FBDD257E9C0B2D5	0.104

date

userid

compid

res64

spent (GHz-days)

1998-12-21T00:00:00

ANONYMOUS

v4_computers

1FBDD257E9C0B2D5

0.104

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-04T20:38:48

Oliver Kruse

GTX-1

438088136960062145890118315000876081

0F3709E292CE68__

2017-11-15T07:28:47

kkmrkkblmbrbk

c4.xlarge

438088136960062145890118315000876081

0F3709E292CE68__

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 = 500,000, B2 = 15,000,000 (stage 2)

B1 = 500,000 (stage 1)

10³

10⁴

10⁵

10⁶

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	<	123M	PrimeNet wavefront