M4898819 Mersenne number exponent details

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M4898819

<<<

>>>

is 2 ^4898819 - 1

has 1474692 decimal digits

takes 0.679 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	6.0655	65.6716%	-	-	-	-	6.0655	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0627	62.2951%	22000	450000	0.0091	3.3020%	0.0718	63.5401%	1.2450%
GPU72	2⁶⁵	1.4893	64.6154%	32000	700000	0.0137	2.3739%	1.5030	65.4554%	0.8400%
Difference	+2	+4.5762	+1.0563%	-32000	-700000	-0.0137	-2.3739%	+4.5625	+0.2163%	+0.2163%

Known prime factors (2 factors, 99.7 bits, 0.00203564% 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
4898819	39190553	8	25.224	4 2²	-	4	4	9.133e-13	8.039e-7	1.636e-6
4898819	26682165490950138506647	23	74.498	2723326325278617 3 × 31727 × 62981 × 454297	2019-07-27	62981	454297	881.90	0.0169	0.0258

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4898819	39190553 26682165490950138506647	1045688820827852423502090105791	31	99.722

P-1 results:
No P-1 results for M4898819

Trial Factoring results:
No TF results for M4898819

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.629 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:	0.629 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	26682165490950138506647	3	0.629

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-07-27T09:29:15	MarkS	laptop64	50000	5000000	26682165490950138506647	74.498	3	2		3	0.629

Lucas-Lehmer results:
No L-L results for M4898819

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T06:45:19

kkmrkkblmbrbk

Manual testing

39190553

D6EF47A0D6AC0C__

2018-04-04T23:52:59

trebor

Laptop

39190553

D6EF47A0D6AC0C__

2019-07-28T10:01:12

GAN

CS-AC

39190553

26682165490950138506647

D64BBAB85B19D8FE

2019-07-28T11:05:55

ATH

ec2-PRPCFDC

39190553

26682165490950138506647

D64BBAB85B19D8FE

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

TF factor-bounds graph:

2⁶⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-07-28T11:05:55+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