M1932439 Mersenne number exponent details

Residue

Status

L-L

B16E0C51BC7264A8

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	15.3764	68.6567%	500000	15000000	0.1015	5.1019%	15.4779	70.2558%	1.5991%
PrimeNet	2⁵⁸	0.0199	63.7931%	8000	140000	0.0012	2.4624%	0.0211	64.6847%	0.8916%
GPU72	2⁶²	0.3179	66.1290%	8000	90000	0.0010	1.1509%	0.3189	66.5188%	0.3898%
Difference	+5	+15.0585	+2.5277%	+492000	+14910000	+0.1005	+3.9511%	+15.1590	+3.7370%	+3.7370%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

15.3764

68.6567%

500000

15000000

0.1015

5.1019%

15.4779

70.2558%

1.5991%

PrimeNet

2⁵⁸

0.0199

63.7931%

8000

140000

0.0012

2.4624%

0.0211

64.6847%

0.8916%

GPU72

2⁶²

0.3179

66.1290%

8000

90000

0.0010

1.1509%

0.3189

66.5188%

0.3898%

Difference

+15.0585

+2.5277%

+492000

+14910000

+0.1005

+3.9511%

+15.1590

+3.7370%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1932439	22775394590410112831	20	64.304	5892914236985 5 × 1178582847397	2009-08-07	5	1178582847397	2.0700	5,051.1	9,434.1

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1932439

22775394590410112831

64.304

5892914236985
5 × 1178582847397

2009-08-07

1178582847397

2.0700

5,051.1

9,434.1

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-03-16T12:40:47	alpertron	Manual testing	500000	15000000	12	-		-	-	0.101	-	-	5.102%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2016-03-16T12:40:47

alpertron

Manual testing

500000

15000000

0.101

-

-

5.102%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1998-12-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

1998-12-21T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁸

0.020

-

-

ECM factoring results:

Old Calculation Method

Total ECM effort:	20.581 GHz-days
Estimated T-Level:	24.446

Digits	B1	Curves	Complete	FacMiss
20	11000	249 / 100	2.490	8.188%
25	50000	249 / 280	0.889	41.030%

New Calculation Method

Total ECM effort:	20.581 GHz-days
Estimated T-Level:	24.446

Digits	B1	Complete	FacMiss
20	11000	10.314	0.003%
25	50000	0.973	37.791%
30	250000	0.062	93.989%
35	1000000	0.003	99.709%

ECM Summary

B1	B2	factor	curves	GHz-days
		22775394590410112831	1	0.00000e+0
50000	50000		7	0.293
50000	5000000		25	1.738
50000	5642923		14	1.023
50000	7500000		210	17.53

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-11T01:04:00	youli	ALCHEMY	50000	5000000						3	0.209
2009-08-07T16:27:00	SubPrime	abd0			22775394590410112831	64.304		1		1	-
2015-03-12T14:06:00	Richard B. Woods	Puttputt	50000	5000000						1	0.070
2020-11-02T02:43:07	nordi	sweet16	50000	5000000						7	0.487
2021-01-27T22:26:07	seatsea	dt	50000	5642923						7	0.512
2021-05-16T16:39:06	MarkS	laptop64	50000	5000000						7	0.487
2021-07-14T09:03:43	seatsea	Manual testing	50000	5642923						7	0.512
2021-11-19T07:47:10	JackBlock		50000	50000						7	0.293
2021-12-05T07:11:43	volki	home	50000	5000000						7	0.487
2022-02-24T18:52:17	TJAOI	Manual testing	50000	7500000						210	17.53

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	ANONYMOUS	v4_computers	B16E0C51BC7264A8	0.105

date

userid

compid

res64

spent (GHz-days)

1999-01-10T00:00:00

ANONYMOUS

v4_computers

B16E0C51BC7264A8

0.105

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 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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