M4915037 Mersenne number exponent details

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M4915037

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is 2 ^4915037 - 1

has 1479574 decimal digits

takes 0.681 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	6.0455	65.6716%	-	-	-	-	6.0455	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0625	62.2951%	22000	450000	0.0091	3.3038%	0.0716	63.5408%	1.2457%
GPU72	2⁶⁵	1.4844	64.6154%	32000	700000	0.0137	2.3752%	1.4981	65.4558%	0.8405%
Difference	+2	+4.5611	+1.0563%	-32000	-700000	-0.0137	-2.3752%	+4.5474	+0.2158%	+0.2158%

Known prime factors (2 factors, 124.8 bits, 0.00253835% 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
4915037	258537427364389681	18	57.843	26300659320 2³ × 3² × 5 × 13 × 43 × 130693	-	43	130693	0.0055	0.0014	0.0027
4915037	139390893604153135081	21	66.918	14180045196420 2² × 3² × 5 × 43 × 131 × 13985093	2019-08-05	131	13985093	3.1232	0.1532	0.2860

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4915037	258537427364389681 139390893604153135081	36037763030441111312547477754315499161	38	124.761

P-1 results:
No P-1 results for M4915037

Trial Factoring results:
No TF results for M4915037

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.420 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:	0.420 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	139390893604153135081	2	0.420

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-08-05T18:31:46	MarkS	laptop64	50000	5000000	139390893604153135081	66.918	2	2		2	0.420

Lucas-Lehmer results:
No L-L results for M4915037

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T06:45:23

kkmrkkblmbrbk

Manual testing

258537427364389681

D47BB56843E581__

2018-04-07T08:34:58

ATH

ec2-PRPCFDC

258537427364389681

D47BB56843E581__

2019-08-06T07:24:36

Niels_Mache_Nextcloud

SuperDry-X

258537427364389681

139390893604153135081

630969E8FD249E19

2019-08-08T02:26:28

arnaud

stm-11-010

258537427364389681

139390893604153135081

630969E8FD249E19

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-08-08T02:26:28+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