M1997903 Mersenne number exponent details

Residue

Status

L-L

BEDED9B3BEB67F7C

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	2⁷⁰	119.6007	70.0000%	1000000	30000000	0.2460	4.7522%	119.8467	71.4257%	1.4257%
PrimeNet	2⁵⁸	0.0192	63.7931%	8000	140000	0.0014	2.4783%	0.0207	64.6904%	0.8973%
GPU72	2⁶²	0.3075	66.1290%	8000	110000	0.0013	1.2364%	0.3088	66.5478%	0.4188%
Difference	+8	+119.2932	+3.8710%	+992000	+29890000	+0.2447	+3.5158%	+119.5379	+4.8779%	+4.8779%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁰

119.6007

70.0000%

1000000

30000000

0.2460

4.7522%

119.8467

71.4257%

1.4257%

PrimeNet

2⁵⁸

0.0192

63.7931%

8000

140000

0.0014

2.4783%

0.0207

64.6904%

0.8973%

GPU72

2⁶²

0.3075

66.1290%

8000

110000

0.0013

1.2364%

0.3088

66.5478%

0.4188%

Difference

+119.2932

+3.8710%

+992000

+29890000

+0.2447

+3.5158%

+119.5379

+4.8779%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1997903	246720865652282365417	21	67.741	61744955999436 2² × 3² × 1715137666651	2014-02-01	9	1715137666651	26.647	8,908.9	16,639

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1997903

246720865652282365417

67.741

61744955999436
2² × 3² × 1715137666651

2014-02-01

1715137666651

26.647

8,908.9

16,639

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2011-03-05T15:11:00	kurly	hex	1000000	30000000		-		-	-	0.246	-	-	4.752%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2011-03-05T15:11:00

kurly

hex

1000000

30000000

0.246

-

-

4.752%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2009-04-19T19:29:00	Rob_Dee	twopc	2⁶⁰	2⁶¹		-	-	0.077	-	-
2011-05-03T04:17:00	Xyzzy	Manual testing	2¹	2⁶²		-	-	0.308	-	-
2011-05-03T04:17:00	Xyzzy	Manual testing	2⁶²	2⁶³		-	-	0.491	-	-
2011-05-03T04:17:00	Xyzzy	Manual testing	2⁶³	2⁶⁴		-	-	0.983	-	-
2011-05-03T04:17:00	Xyzzy	Manual testing	2⁶⁴	2⁶⁵		-	-	1.870	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁵	2⁶⁶		-	-	3.740	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁶	2⁶⁷		-	-	7.481	-	-
2014-02-01T17:02:00	ANONYMOUS	Manual testing	2⁵	2⁶⁸	246720865652282365417	67.741	21	26.65	0.267	54.13
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁷	2⁶⁸	MISSED FACTOR!	-	-	14.96	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁸	2⁶⁹		-	-	29.92	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁹	2⁷⁰		-	-	59.84	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	3.482 GHz-days
Estimated T-Level:	2.000

Digits	B1	Curves	Complete	FacMiss
20	11000	40 / 100	0.400	66.897%
25	50000	40 / 280	0.143	86.666%

New Calculation Method

Total ECM effort:	3.482 GHz-days
Estimated T-Level:	2.000

Digits	B1	Complete	FacMiss
20	11000	1.315	26.860%
25	50000	0.118	88.837%
30	250000	0.007	99.273%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		33	2.791
50000	7070978		7	0.691

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-21T05:18:00	Lupo	yorick	50000	5000000						3	0.254
2009-11-01T23:13:00	James Hintz	ryan	50000	5000000						3	0.254
2011-02-04T01:09:00	James Hintz	ryan	50000	5000000						3	0.254
2013-01-02T04:16:00	GrunwalderGIMP	vangelis	50000	5000000						3	0.254
2021-06-29T21:04:24	Jonathan Webb	Desktop2021	50000	5000000						7	0.592
2021-09-21T14:59:32	_p95holder_	TFL18_PRPt12pE_m	50000	5000000						7	0.592
2022-01-18T00:28:16	_p95holder_	TFL15_PRPt13pE_s	50000	5000000						7	0.592
2022-05-18T19:30:08	debrouxl	dl380g9-1	50000	7070978						7	0.691

date	userid	compid	res64	spent (GHz-days)
1999-01-17T00:00:00	ANONYMOUS	v4_computers	BEDED9B3BEB67F7C	0.131

date

userid

compid

res64

spent (GHz-days)

1999-01-17T00:00:00

ANONYMOUS

v4_computers

BEDED9B3BEB67F7C

0.131

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-05T18:02:52

Oliver Kruse

GTX-0

246720865652282365417

ADDEC992880927__

2017-11-13T03:35:44

kkmrkkblmbrbk

c4.xlarge

246720865652282365417

ADDEC992880927__

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 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1000000 (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