M5097461 Mersenne number exponent details

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M5097461

<<<

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is 2 ^5097461 - 1

has 1534489 decimal digits

takes 0.707 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	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	5.8292	65.6716%	-	-	-	-	5.8292	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0603	62.2951%	22000	500000	0.0097	3.4092%	0.0699	63.5805%	1.2854%
GPU72	2⁶⁵	1.4312	64.6154%	34000	700000	0.0141	2.4239%	1.4454	65.4731%	0.8577%
Difference	+2	+4.3979	+1.0563%	-34000	-700000	-0.0141	-2.4239%	+4.3838	+0.1986%	+0.1986%

Known prime factors (2 factors, 107.6 bits, 0.00211127% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
5097461	30411452327	11	34.824	2983 19 × 157	-	19	157	7.389e-10	5.330e-6	7.772e-6
5097461	8205145037307526296311	22	72.797	804826661479855 5 × 7 × 22995047470853	2019-11-01	7	22995047470853	228.83	251,802	470,296

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
5097461	30411452327 8205145037307526296311	249530377138198472398560852465697	33	107.621

P-1 results:
No P-1 results for M5097461

Trial Factoring results:
No TF results for M5097461

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.422 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:	0.422 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	8205145037307526296311	2	0.422

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-11-01T16:21:49	MarkS	laptop64	50000	5000000	8205145037307526296311	72.797	2	2		2	0.422

Lucas-Lehmer results:
No L-L results for M5097461

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T19:30:28

kkmrkkblmbrbk

Manual testing

30411452327

8BBFB5F807A462__

2018-05-06T16:30:25

Oliver Kruse

GTX-5

30411452327

8BBFB5F807A462__

2019-11-01T17:32:52

ATH

ec2-PRPCF

30411452327

8205145037307526296311

8982FFF85B7A2576

2019-11-03T16:47:55

arnaud

stm-11-010

30411452327

8205145037307526296311

8982FFF85B7A2576

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

TF factor-bounds graph:

2⁶⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-11-03T16:47:55+00:00

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