M4796983 Mersenne number exponent details

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M4796983

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is 2 ^4796983 - 1

has 1444036 decimal digits

takes 0.632 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	6.1943	65.6716%	-	-	-	-	6.1943	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0640	62.2951%	20000	450000	0.0083	3.2243%	0.0723	63.5108%	1.2157%
GPU72	2⁶⁵	1.5209	64.6154%	32000	650000	0.0125	2.3219%	1.5334	65.4370%	0.8216%
Difference	+2	+4.6734	+1.0563%	-32000	-650000	-0.0125	-2.3219%	+4.6609	+0.2346%	+0.2346%

Known prime factors (2 factors, 106.6 bits, 0.00222229% 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
4796983	7483293481	10	32.801	780 2² × 3 × 5 × 13	-	5	13	1.394e-10	1.038e-6	1.943e-6
4796983	16465288608295778890577	23	73.802	1716212941373336 2³ × 7 × 1466659 × 20895559	2019-05-28	1466659	20895559	766.14	0.4821	0.5699

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
4796983	7483293481 16465288608295778890577	123214586905243364691672276428537	33	106.603

P-1 results:
No P-1 results for M4796983

Trial Factoring results:
No TF results for M4796983

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.396 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:	0.396 GHz-days
Estimated T-Level:	0.100

Digits	B1	Complete	FacMiss
20	11000	0.077	92.596%
25	50000	0.007	99.291%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	16465288608295778890577	2	0.396

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-05-28T11:06:53	ATH	ec2-ECMCF	50000	5000000	16465288608295778890577	73.802	2	2	6013987556527777	2	0.396

Lucas-Lehmer results:
No L-L results for M4796983

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T19:10:53

kkmrkkblmbrbk

Manual testing

7483293481

42E54ADD0F86B1__

2018-03-27T03:53:12

kracker

GRID-11

7483293481

42E54ADD0F86B1__

2019-05-29T02:50:18

Niels_Mache_Nextcloud

SuperDry-X

7483293481

16465288608295778890577

F466741F36BA3310

2019-05-29T03:47:31

ATH

ec2-PRPCFDC

7483293481

16465288608295778890577

F466741F36BA3310

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

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-05-29T03:47:31+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