M1484803 Mersenne number exponent details

Residue

Status

L-L

C109776CAFE67D24

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	20.0120	68.6567%	500000	15000000	0.0714	4.9423%	20.0834	70.2058%	1.5491%
PrimeNet	2⁵⁷	0.0129	63.1579%	6500	100000	0.0006	2.3356%	0.0136	64.0184%	0.8605%
GPU72	2⁶¹	0.2069	65.5738%	6000	50000	0.0005	0.9458%	0.2073	65.8994%	0.3256%
Difference	+6	+19.8051	+3.0829%	+494000	+14950000	+0.0710	+3.9965%	+19.8761	+4.3064%	+4.3064%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

20.0120

68.6567%

500000

15000000

0.0714

4.9423%

20.0834

70.2058%

1.5491%

PrimeNet

2⁵⁷

0.0129

63.1579%

6500

100000

0.0006

2.3356%

0.0136

64.0184%

0.8605%

GPU72

2⁶¹

0.2069

65.5738%

6000

50000

0.0005

0.9458%

0.2073

65.8994%

0.3256%

Difference

+19.8051

+3.0829%

+494000

+14950000

+0.0710

+3.9965%

+19.8761

+4.3064%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1484803	966696067583818619737	21	69.712	325530076240356 2² × 3 × 13 × 2086731257951	2010-01-12	13	2086731257951	102.99	6,294.1	11,756

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1484803

966696067583818619737

69.712

325530076240356
2² × 3 × 13 × 2086731257951

2010-01-12

2086731257951

102.99

6,294.1

11,756

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-29T00:00:00	Team Prime Rib	v4_computers	20000	270000		-		-	-	0.002	-	-	0.964%
2016-03-17T19:14:57	alpertron	Manual testing	500000	15000000	12	-		-	-	0.071	-	-	4.942%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-11-14T00:00:00	bezahar	v4_computers	2¹	2⁵⁷		-	-	0.013	-	-
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.026	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.550 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	299 / 100	2.990	4.954%
25	50000	299 / 280	1.068	34.309%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	25.550 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	12.199	0.001%
25	50000	1.351	25.899%
30	250000	0.113	89.347%
35	1000000	0.008	99.238%

ECM Summary

B1	B2	factor	curves	GHz-days
		966696067583818619737	1	0.00000e+0
50000	5000000		249	11.84
250000	35000000		50	13.71

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-02-10T06:26:00	Steve Scott	Abit-4	50000	5000000						3	0.143
2009-03-16T21:54:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.143
2010-01-12T04:38:00	Chang Chia-Tche	sekhmet			966696067583818619737	69.712		1		1	-
2019-05-10T12:38:50	TJAOI	Manual testing	50000	5000000						243	11.55
2022-02-24T18:49:52	TJAOI	Manual testing	250000	35000000						50	13.71

date	userid	compid	res64	spent (GHz-days)
1998-11-14T00:00:00	bezahar	v4_computers	C109776CAFE67D24	0.057

date

userid

compid

res64

spent (GHz-days)

1998-11-14T00:00:00

bezahar

v4_computers

C109776CAFE67D24

0.057

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-01T06:55:00

Oliver Kruse

GTX-3

966696067583818619737

6D24BE68A6012C__

2017-10-28T15:23:02

kkmrkkblmbrbk

c4.xlarge

966696067583818619737

6D24BE68A6012C__

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)

B1 = 20000, B2 = 270000 (P-1 stage 2)

B1 = 20000 (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