M4811537 Mersenne number exponent details

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M4811537

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>>>

is 2 ^4811537 - 1

has 1448417 decimal digits

takes 0.634 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	6.1756	65.6716%	-	-	-	-	6.1756	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0638	62.2951%	20000	450000	0.0083	3.2260%	0.0721	63.5114%	1.2164%
GPU72	2⁶⁵	1.5163	64.6154%	32000	650000	0.0125	2.3231%	1.5288	65.4374%	0.8220%
Difference	+2	+4.6593	+1.0563%	-32000	-650000	-0.0125	-2.3231%	+4.6467	+0.2342%	+0.2342%

Known prime factors (2 factors, 110.0 bits, 0.00228588% 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
4811537	57776936297	11	35.750	6004 2² × 19 × 79	-	19	79	1.236e-9	4.252e-6	7.382e-6
4811537	22248753690167753958193	23	74.236	2312021469456408 2³ × 3 × 38119 × 2527197143	2019-06-06	38119	2527197143	1,102.9	26.294	49.097

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4811537	57776936297 22248753690167753958193	1285464824644465995686086562231321	34	109.986

P-1 results:
No P-1 results for M4811537

Trial Factoring results:
No TF results for M4811537

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.397 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:	0.397 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	22248753690167753958193	2	0.397

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-06-06T16:27:39	MarkS	laptop64	50000	5000000	22248753690167753958193	74.236	2	2		2	0.397

Lucas-Lehmer results:
No L-L results for M4811537

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-20T03:48:35

Chang Chia-Tche

homura

57776936297

71E158FD71D3FC__

2018-01-08T15:45:50

kkmrkkblmbrbk

old

57776936297

71E158FD71D3FC__

2019-06-14T17:59:44

ANONYMOUS

57776936297

22248753690167753958193

71E158FD71D3FCCB

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

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-06-14T17:59:44+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