M2433967 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

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	12.2080	67.1642%	2000000	2000000	0.1959	3.4889%	12.4039	68.3098%	1.1456%
PrimeNet	2⁵⁹	0.0316	62.7119%	10000	180000	0.0019	2.5251%	0.0334	63.6534%	0.9416%
GPU72	2⁶³	0.6557	65.0794%	10000	150000	0.0017	1.3059%	0.6575	65.5354%	0.4560%
Difference	+4	+11.5523	+2.0848%	+1990000	+1850000	+0.1942	+2.1830%	+11.7465	+2.7744%	+2.7744%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

12.2080

67.1642%

2000000

0.1959

3.4889%

12.4039

68.3098%

1.1456%

PrimeNet

2⁵⁹

0.0316

62.7119%

10000

180000

0.0019

2.5251%

0.0334

63.6534%

0.9416%

GPU72

2⁶³

0.6557

65.0794%

10000

150000

0.0017

1.3059%

0.6575

65.5354%

0.4560%

Difference

+11.5523

+2.0848%

+1990000

+1850000

+0.1942

+2.1830%

+11.7465

+2.7744%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2433967	5880464273	10	32.453	1208 2³ × 151	-	8	151	2.965e-10	1.547e-6	1.595e-6
2433967	295648480460449	15	48.071	60733872 2⁴ × 3² × 37 × 11399	2008-09-07	37	11399	2.865e-5	6.426e-5	0.0001
2433967	18075979221954372880081	23	73.936	3713275328292120 2³ × 3 × 5 × 43 × 449 × 4457 × 359599	2018-08-14	4457	359599	847.14	0.0023	0.0036

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2433967

5880464273

32.453

1208
2³ × 151

151

2.965e-10

1.547e-6

1.595e-6

2433967

295648480460449

48.071

60733872
2⁴ × 3² × 37 × 11399

2008-09-07

11399

2.865e-5

6.426e-5

0.0001

2433967

18075979221954372880081

73.936

3713275328292120
2³ × 3 × 5 × 43 × 449 × 4457 × 359599

2018-08-14

4457

359599

847.14

0.0023

0.0036

exponent	prime factors	composite factor	digits	bits*
2433967	5880464273 295648480460449	1738550326714408934038577	25	80.524
2433967	5880464273 18075979221954372880081	106295150014193026957436433846113	33	106.390
2433967	295648480460449 18075979221954372880081	5344135789805459528118838965140416369	37	122.007
2433967	5880464273 295648480460449 18075979221954372880081	31425999582011642375450271432748510886248884737	47	154.461

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-08-14T03:42:42	alpertron		2000000	2000000			18075979221954372880081	23	73.936	0.196	0.329	0.392	3.489%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-07T10:05:00	Will Edgington	UNKNOWN	?	?	295648480460449	48.071	15	1.32451e-5	0.365	2.94084e-5

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.268 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:	0.268 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
50000	5000000		3	0.268

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-02-24T13:34:17	Oliver Kruse	ECM-HTC	50000	5000000						3	0.268

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-13T11:16:39

Oliver Kruse

GTX-2

215E30C45F946B__

2017-11-27T19:17:32

kkmrkkblmbrbk

c4.xlarge

5880464273

295648480460449

215E30C45F946B__

2018-08-15T23:47:37

Oliver Kruse

GTX-2

5880464273

295648480460449

18075979221954372880081

215E30C45F946B__

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 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

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