M4869349 Mersenne number exponent details

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M4869349

<<<

>>>

is 2 ^4869349 - 1

has 1465821 decimal digits

takes 0.675 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	6.1022	65.6716%	-	-	-	-	6.1022	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0631	62.2951%	22000	450000	0.0091	3.2987%	0.0722	63.5388%	1.2438%
GPU72	2⁶⁵	1.4983	64.6154%	32000	700000	0.0137	2.3715%	1.5120	65.4545%	0.8391%
Difference	+2	+4.6039	+1.0563%	-32000	-700000	-0.0137	-2.3715%	+4.5902	+0.2171%	+0.2171%

Known prime factors (2 factors, 115.5 bits, 0.00237202% 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
4869349	182561398979249	15	47.375	18745976 2³ × 37 × 63331	-	37	63331	6.047e-6	0.0007	0.0013
4869349	322161536052646454321	21	68.126	33080555126840 2³ × 5 × 13 × 63616452167	2019-07-11	13	63616452167	18.353	696.62	1,301.1

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4869349	182561398979249 322161536052646454321	58814260719074900318602888505384929	35	115.502

P-1 results:
No P-1 results for M4869349

Trial Factoring results:
No TF results for M4869349

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.209 GHz-days
Estimated T-Level:	0.050

Digits	B1	Curves	Complete	FacMiss
20	11000	1 / 100	0.010	99.000%
25	50000	1 / 280	0.004	99.643%

New Calculation Method

Total ECM effort:	0.209 GHz-days
Estimated T-Level:	0.050

Digits	B1	Complete	FacMiss
20	11000	0.038	96.227%
25	50000	0.004	99.645%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	322161536052646454321	1	0.209

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-07-11T23:09:27	ATH	ec2-ECMCF	50000	5000000	322161536052646454321	68.126	1	2	1617853592711731	1	0.209

Lucas-Lehmer results:
No L-L results for M4869349

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T06:41:49

kkmrkkblmbrbk

Manual testing

182561398979249

8933D854446658__

2018-04-01T12:51:35

Oliver Kruse

GTX-1

182561398979249

8933D854446658__

2019-07-12T00:17:27

ATH

ec2-PRPCF

182561398979249

322161536052646454321

203EBA605408D984

2019-07-13T23:20:47

arnaud

stm-11-010

182561398979249

322161536052646454321

203EBA605408D984

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

TF factor-bounds graph:

2⁶⁷

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-07-13T23:20:47+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