M4995547 Mersenne number exponent details

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M4995547

<<<

>>>

is 2 ^4995547 - 1

has 1503810 decimal digits

takes 0.692 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	5.9481	65.6716%	-	-	-	-	5.9481	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0615	62.2951%	22000	450000	0.0091	3.3127%	0.0706	63.5441%	1.2491%
GPU72	2⁶⁵	1.4604	64.6154%	34000	700000	0.0141	2.4157%	1.4746	65.4702%	0.8548%
Difference	+2	+4.4876	+1.0563%	-34000	-700000	-0.0141	-2.4157%	+4.4735	+0.2015%	+0.2015%

Known prime factors (2 factors, 136.4 bits, 0.00273137% 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
4995547	377816186964919	15	48.425	37815297 3 × 13 × 239 × 4057	-	239	4057	8.476e-6	8.984e-5	9.776e-5
4995547	314329316621879815715050303	27	88.022	31460950784957064333 3 × 89 × 117831276348153799	2019-09-03	89	117831276348153799	21,438,127	1.290e+9	2.410e+9

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4995547	377816186964919 314329316621879815715050303	118758703857367365989310818177554981320457	42	136.447

P-1 results:
No P-1 results for M4995547

Trial Factoring results:
No TF results for M4995547

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.632 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

New Calculation Method

Total ECM effort:	0.632 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	314329316621879815715050303	3	0.632

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-09-03T12:36:12	ATH	ec2-ECMCF	50000	5000000	314329316621879815715050303	88.022	3	2	4860210726327387	3	0.632

Lucas-Lehmer results:
No L-L results for M4995547

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T19:14:47

kkmrkkblmbrbk

Manual testing

377816186964919

C9DB3141600D9D__

2018-04-22T18:19:25

ATH

ec2-PRPCFDC

377816186964919

C9DB3141600D9D__

2019-09-04T03:27:10

Niels_Mache_Nextcloud

SuperDry-X

377816186964919

314329316621879815715050303

60D534AD25692837

2019-09-05T04:04:49

GAN

KL-SCH06

377816186964919

314329316621879815715050303

60D534AD25692837

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

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TF factor-bounds graph:

2⁶⁷

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2¹⁰⁰

Last modified: 2019-09-05T04:04:49+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