M15 359 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

-unknown-

-unknown-

Cofactor is a certified prime

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	-	-	-	-	0.0000	0.0000%
Target	2⁴⁴	0.0002	68.1818%	500	50000	0.0000	1.4404%	0.0002	68.6401%
Difference	-44	-0.0002	-68.1818%	-500	-50000	0.0000	-1.4404%	-0.0002	-68.6401%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

unknown

0.0000

0.0000%

Target

2⁴⁴

0.0002

68.1818%

500

50000

0.0000

1.4404%

0.0002

68.6401%

Difference

-44

-0.0002

-68.1818%

-500

-50000

0.0000

-1.4404%

-0.0002

-68.6401%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15359	532687614329637907859737	24	78.818	17341220598008916852 2² × 3² × 481700572166914357	2014-04-23	9	481700572166914357	3,996,062	9,069,619	16,939,522
15359	12672796311755759806248811955470769486263	41	133.219	412552780511614031064809296030691109 3 × 19 × 1171 × 40637 × 125117 × 148669 × 8176913170597747	2019-04-27	148669	8176913170597747	1.124e+13	153,958	287,550
15359	hide decimal representation P4560 click to show decimal representation	4,560	15,146.964		2019-04-27

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

15359

532687614329637907859737

78.818

17341220598008916852
2² × 3² × 481700572166914357

2014-04-23

481700572166914357

3,996,062

9,069,619

16,939,522

15359

12672796311755759806248811955470769486263

133.219

412552780511614031064809296030691109
3 × 19 × 1171 × 40637 × 125117 × 148669 × 8176913170597747

2019-04-27

148669

8176913170597747

1.124e+13

153,958

287,550

15359

P4560

click to show decimal representation

4,560

15,146.964

2019-04-27

exponent	prime factors	composite factor	digits	bits*
15359	532687614329637907859737 12672796311755759806248811955470769486263	67506416341946099048875419713009440071643397437737 73517352292831	64	212.036

ECM factoring results:

Total ECM effort:	7.934 GHz-days
Estimated T-Level:	34.955

Digits	B1	Complete	FacMiss
20	11000	315.823	0.000%
25	50000	58.671	0.000%
30	250000	8.438	0.022%
35	1000000	0.991	37.124%
40	3000000	0.097	90.753%
45	11000000	0.008	99.197%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		148	0.037
250000	25000000		972	1.208
1000000	100000000		1,321	6.569
3000000	300000000		6	0.090
3000000	300000000	12672796311755759806248811955470769486263	2	0.030

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-07	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.012
2009-06-08	unconnected	dual5430	250000	25000000						30	0.037
2009-06-12	Rob_Dee	twopc	50000	5000000						80	0.020
2009-07-04	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-05	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-05	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-05	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-06	Rob_Dee	twopc	250000	25000000						10	0.012
2010-04-06	James Hintz	17_012210	250000	25000000						11	0.014
2010-04-09	James Hintz	17_012210	250000	25000000						11	0.014
2010-04-09	James Hintz	17_012210	250000	25000000						11	0.014
2010-04-09	James Hintz	17_012210	250000	25000000						11	0.014
2010-04-09	James Hintz	17_012210	250000	25000000						11	0.014
2010-04-10	James Hintz	17_012210	250000	25000000						11	0.014
2010-04-10	James Hintz	17_012210	250000	25000000						11	0.014
2010-04-10	James Hintz	17_012210	250000	25000000						11	0.014
2010-04-11	James Hintz	17_012210	250000	25000000						11	0.014
2010-04-11	James Hintz	17_012210	250000	25000000						11	0.014
2010-04-11	James Hintz	17_012210	250000	25000000						11	0.014
2011-04-07	James Hintz	17_051310	250000	25000000						11	0.014
2014-08-13	James Hintz	08_04_2014	250000	25000000						400	0.497
2014-08-13	James Hintz	08_04_2014	250000	25000000						400	0.497
2017-10-02	James Hintz	11_04_2016	1000000	100000000						1321	6.569
2019-04-23	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.045
2019-04-25	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.045
2019-04-27	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000	12672796311755759806248811955470769486263	133.219	2	2		2	0.030

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

532687614329637907859737

B31E7D26ED1740__

2017-09-21

Oliver Kruse

Manual testing

532687614329637907859737

B31E7D26ED1740__

2017-10-12

kkmrkkblmbrbk

Manual testing

532687614329637907859737

B31E7D26ED1740__

2019-04-28

ANONYMOUS

dory

532687614329637907859737

12672796311755759806248811955470769486263

PRP

2019-04-28

ATH

5960X

532687614329637907859737

12672796311755759806248811955470769486263

PRP

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