M4890133 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	Prob over default TF
Actual	2⁶⁷	6.0763	65.6716%	-	-	-	-	6.0763	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0628	62.2951%	22000	450000	0.0091	3.3010%	0.0719	63.5397%	1.2446%
GPU72	2⁶⁵	1.4919	64.6154%	32000	700000	0.0137	2.3732%	1.5057	65.4551%	0.8397%
Difference	+2	+4.5844	+1.0563%	-32000	-700000	-0.0137	-2.3732%	+4.5706	+0.2165%	+0.2165%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

6.0763

65.6716%

6.0763

65.6716%

0.0000%

PrimeNet

2⁶¹

0.0628

62.2951%

22000

450000

0.0091

3.3010%

0.0719

63.5397%

1.2446%

GPU72

2⁶⁵

1.4919

64.6154%

32000

700000

0.0137

2.3732%

1.5057

65.4551%

0.8397%

Difference

+4.5844

+1.0563%

-32000

-700000

-0.0137

-2.3732%

+4.5706

+0.2165%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4890133	29340799	8	24.806	3 3	-	1	3	4.573e-13	2.229e-7	4.090e-7
4890133	638133015703	12	39.215	65247 3 × 7 × 13 × 239	2008-09-08	13	239	1.681e-8	5.088e-6	5.318e-6
4890133	75228089600841562351	20	66.028	7691824496475 3² × 5² × 7 × 421 × 2939 × 3947	2019-07-22	2939	3947	3.5063	0.0006	0.0012

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

4890133

29340799

24.806

3
3

4.573e-13

2.229e-7

4.090e-7

4890133

638133015703

39.215

65247
3 × 7 × 13 × 239

2008-09-08

239

1.681e-8

5.088e-6

5.318e-6

4890133

75228089600841562351

66.028

7691824496475
3² × 5² × 7 × 421 × 2939 × 3947

2019-07-22

2939

3947

3.5063

0.0006

0.0012

exponent	prime factors	composite factor	digits	bits*
4890133	29340799 638133015703	18723332549005566697	20	64.021
4890133	29340799 75228089600841562351	2207252256132282511786658449	28	90.834
4890133	638133015703 75228089600841562351	48005527682560519709745736597753	32	105.243
4890133	29340799 638133015703 75228089600841562351	1408520538622944014139187998621614624647	40	130.049

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T00:18:00	Will Edgington	Manual testing	?	?	638133015703	39.215	12	1.83804e-9	1.440	3.90523e-9

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.419 GHz-days
Estimated T-Level:	0.100

Digits	B1	Curves	Complete	FacMiss
20	11000	2 / 100	0.020	98.010%
25	50000	2 / 280	0.007	99.287%

New Calculation Method

Total ECM effort:	0.419 GHz-days
Estimated T-Level:	0.100

Digits	B1	Complete	FacMiss
20	11000	0.065	93.752%
25	50000	0.006	99.419%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	75228089600841562351	2	0.419

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-07-22T20:13:50	MarkS	laptop64	50000	5000000	75228089600841562351	66.028	2	2		2	0.419

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T19:11:02

kkmrkkblmbrbk

Manual testing

29340799

638133015703

3EF8E503B29FFE__

2018-04-03T14:50:31

Oliver Kruse

GTX-7

29340799

638133015703

3EF8E503B29FFE__

2019-07-23T16:34:57

ANONYMOUS

29340799

638133015703

75228089600841562351

28052AF083542A20

2019-07-24T16:48:04

kkmrkkblmbrbk

c5.large

29340799

638133015703

75228089600841562351

28052AF083542A20

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

10⁰

10¹

10²

10³

10⁴

10⁰

10¹

10²

10³

10⁴

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