M4927189 Mersenne number exponent details

≡

M4927189

<<<

>>>

is 2 ^4927189 - 1

has 1483232 decimal digits

takes 0.683 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	6.0306	65.6716%	-	-	-	-	6.0306	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0623	62.2951%	22000	450000	0.0091	3.3052%	0.0715	63.5413%	1.2462%
GPU72	2⁶⁵	1.4807	64.6154%	32000	700000	0.0137	2.3762%	1.4944	65.4562%	0.8408%
Difference	+2	+4.5499	+1.0563%	-32000	-700000	-0.0137	-2.3762%	+4.5362	+0.2154%	+0.2154%

Known prime factors (2 factors, 119.8 bits, 0.00243078% 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
4927189	560311369625519	15	48.993	56859131 7 × 8122733	-	7	8122733	8.913e-6	0.0889	0.1661
4927189	2021392447764881517889	22	70.776	205126335499296 2⁵ × 3 × 3433 × 622409747	2019-08-11	3433	622409747	70.935	6.8162	12.730

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4927189	560311369625519 2021392447764881517889	1132609170957821135944624502229409391	37	119.769

P-1 results:
No P-1 results for M4927189

Trial Factoring results:
No TF results for M4927189

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.630 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:	0.630 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.097	90.776%
25	50000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	2021392447764881517889	3	0.630

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-08-12T02:43:30	MarkS	laptop64	50000	5000000	2021392447764881517889	70.776	3	2		3	0.630

Lucas-Lehmer results:
No L-L results for M4927189

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T17:04:19

kkmrkkblmbrbk

Manual testing

560311369625519

A10279D2E82699__

2018-04-09T19:38:42

ATH

ec2-PRPCFDC

560311369625519

A10279D2E82699__

2019-08-12T16:59:31

mnd9

eileen

560311369625519

2021392447764881517889

973BA0F041A434C0

2019-08-12T18:16:15

ATH

ec2-PRPCFDC

560311369625519

2021392447764881517889

973BA0F041A434C0

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁷

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-08-12T18:16:15+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