M101 159 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
Actual	2⁶⁷	293.7348	74.6269%	1000000000	6735532633830	1,185.5068	25.4978%	1,479.2416	81.0965%
Target	2⁴⁴	0.0000	61.3636%	1200	18000	0.0000	4.1580%	0.0000	62.9701%
Difference	+23	+293.7348	+13.2632%	+999998800	+6735532615830	+1,185.5068	+21.3399%	+1,479.2416	+18.1263%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁶⁷

293.7348

74.6269%

1000000000

6735532633830

1,185.5068

25.4978%

1,479.2416

81.0965%

Target

2⁴⁴

0.0000

61.3636%

1200

18000

0.0000

4.1580%

0.0000

62.9701%

Difference

+23

+293.7348

+13.2632%

+999998800

+6735532615830

+1,185.5068

+21.3399%

+1,479.2416

+18.1263%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
101159	1619555591	10	30.593	8005 5 × 1601	-	5	1601	2.450e-9	2.963e-7	5.248e-7
101159	60408917713	11	35.814	298584 2³ × 3² × 11 × 13 × 29	2008-07-26	13	29	7.369e-8	4.470e-8	8.525e-8
101159	395658815825555248903	21	68.423	1955628346590789 3 × 13 × 50144316579251	2010-03-19	13	50144316579251	1,035.5	8,803.1	16,442

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

101159

1619555591

30.593

8005
5 × 1601

1601

2.450e-9

2.963e-7

5.248e-7

101159

60408917713

35.814

298584
2³ × 3² × 11 × 13 × 29

2008-07-26

7.369e-8

4.470e-8

8.525e-8

101159

395658815825555248903

68.423

1955628346590789
3 × 13 × 50144316579251

2010-03-19

50144316579251

1,035.5

8,803.1

16,442

exponent	prime factors	composite factor	digits	bits*
101159	1619555591 60408917713	97835600428348083383	20	66.407
101159	1619555591 395658815825555248903	640791447298717284040250266673	30	99.016
101159	60408917713 395658815825555248903	23901320847628989193516560518839	32	104.237
101159	1619555591 60408917713 395658815825555248903	38709517811062388542038326539375563278849	41	134.830

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-11-02	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 1619555591 skipped known factor: 60408917713	-	-	0.656	-	-	11.733%
2021-12-18	Seth_Tr	Manual testing	1000000000	6735532633830		-	skipped known factor: 1619555591 skipped known factor: 60408917713	-	-	1,186	-	-	25.498%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2016-11-02

kkmrkkblmbrbk

Manual testing

100000000

2000000000

skipped known factor: 1619555591
skipped known factor: 60408917713

0.656

-

-

11.733%

2021-12-18

Seth_Tr

Manual testing

1000000000

6735532633830

skipped known factor: 1619555591
skipped known factor: 60408917713

1,186

-

-

25.498%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-26	J Feitsma	Manual testing	?	?	60408917713	35.814	11	2.84422e-8	0.000	6.06666e-8
2018-10-25	J.R. Allen	Manual testing	2⁵²	2⁵⁷		-	-	0.184	-	-
2022-04-13	LordJulius	Manual testing	2¹	2⁵⁷	1619555591	30.593	10	2.45007e-9	0.000	5.22690e-9
2022-04-13	LordJulius	Manual testing	2¹	2⁵⁷	60408917713	35.814	11	7.36912e-8	0.000	1.57182e-7
2018-11-02	J.R. Allen	Manual testing	2⁵⁷	2⁵⁸		-	-	0.190	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁷	2⁵⁸		-	-	0.190	-	-
2018-11-02	J.R. Allen	Manual testing	2⁵⁸	2⁵⁹		-	-	0.380	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁸	2⁵⁹		-	-	0.380	-	-
2018-11-02	J.R. Allen	Manual testing	2⁵⁹	2⁶⁰		-	-	0.759	-	-
2022-04-13	LordJulius	Manual testing	2⁵⁹	2⁶⁰		-	-	0.759	-	-
2022-04-13	LordJulius	Manual testing	2⁶⁰	2⁶¹		-	-	1.518	-	-
2022-04-13	LordJulius	Manual testing	2⁶¹	2⁶²		-	-	3.037	-	-
2022-12-08	LordJulius	Manual testing	2⁶²	2⁶³		-	-	9.70	-	-
2022-12-08	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	19.41	-	-
2022-12-08	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	36.94	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2008-07-26

J Feitsma

Manual testing

60408917713

35.814

2.84422e-8

0.000

6.06666e-8

2018-10-25

J.R. Allen

Manual testing

2⁵²

2⁵⁷

0.184

-

-

2022-04-13

LordJulius

Manual testing

2¹

2⁵⁷

1619555591

30.593

2.45007e-9

0.000

5.22690e-9

2022-04-13

LordJulius

Manual testing

2¹

2⁵⁷

60408917713

35.814

7.36912e-8

0.000

1.57182e-7

2018-11-02

J.R. Allen

Manual testing

2⁵⁷

2⁵⁸

0.190

-

-

2022-04-13

LordJulius

Manual testing

2⁵⁷

2⁵⁸

0.190

-

-

2018-11-02

J.R. Allen

Manual testing

2⁵⁸

2⁵⁹

0.380

-

-

2022-04-13

LordJulius

Manual testing

2⁵⁸

2⁵⁹

0.380

-

-

2018-11-02

J.R. Allen

Manual testing

2⁵⁹

2⁶⁰

0.759

-

-

2022-04-13

LordJulius

Manual testing

2⁵⁹

2⁶⁰

0.759

-

-

2022-04-13

LordJulius

Manual testing

2⁶⁰

2⁶¹

1.518

-

-

2022-04-13

LordJulius

Manual testing

2⁶¹

2⁶²

3.037

-

-

2022-12-08

LordJulius

Manual testing

2⁶²

2⁶³

9.70

-

-

2022-12-08

LordJulius

Manual testing

2⁶³

2⁶⁴

19.41

-

-

2022-12-08

LordJulius

Manual testing

2⁶⁴

2⁶⁵

36.94

-

-

ECM factoring results:

Total ECM effort:	12.595 GHz-days
Estimated T-Level:	30.756

Digits	B1	Complete	FacMiss
20	11000	82.451	0.000%
25	50000	12.936	0.000%
30	250000	1.545	21.335%
35	1000000	0.151	85.964%
40	3000000	0.013	98.746%

ECM Summary

B1	B2	factor	curves	GHz-days
		395658815825555248903	1	0.00000e+0
50000	5000000		280	0.650
250000	25000000		585	6.791
1000000	100000000		111	5.154

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2010-01-15	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-23	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-24	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-25	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-26	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-27	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-02-28	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-02	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-02	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-02	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-04	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-05	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-05	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-06	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-06	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-06	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-07	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-13	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-13	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-14	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-14	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-14	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-14	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-17	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-17	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-18	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-18	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-18	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-19	Rob_Dee	twopc			395658815825555248903	68.423		1		1	-
2010-03-19	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-03-20	Rob_Dee	twopc	50000	5000000						1	0.002
2010-04-20	James Hintz	NEW_OMFG	50000	5000000						11	0.026
2014-05-13	TJAOI	Manual testing	50000	5000000						210	0.488
2017-02-20	kkmrkkblmbrbk	kel1	250000	25000000						585	6.791
2019-01-26	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-01	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-07	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-02-13	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-02-19	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-02-25	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-04	storm5510	HP-Z220-CMT	1000000	100000000						3	0.139
2019-03-08	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-13	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-21	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-03-28	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-03	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-09	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-04-17	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-04-26	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-05-04	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-05-11	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.139
2019-05-19	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-05-30	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-10	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-06-22	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.139
2019-07-12	Niels_Mache_Nextcloud		1000000	100000000						3	0.139
2019-07-27	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-03	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-10	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-17	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-08-25	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-01	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-09	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-09-16	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-09-23	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-01	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-08	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-16	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139
2019-10-23	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.139
2019-10-31	mnd9	75204	1000000	100000000						3	0.139
2019-11-07	Niels_Mache_Nextcloud	SuperDry-Y	1000000	100000000						3	0.139

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