M2 081 479 Mersenne number exponent details

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M2081479

<<<

>>>

is 2 ^2081479 - 1

has 626588 decimal digits

takes 0.137 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 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
Actual	2⁶⁷	14.2754	68.6567%	500000	15000000	0.1230	5.1477%	14.3984	70.2702%
Target	2⁶²	0.2952	66.1290%	9000	700000	0.0044	1.3991%	0.2996	66.6029%
Difference	+5	+13.9802	+2.5277%	+491000	+14300000	+0.1185	+3.7486%	+14.0988	+3.6673%

Known prime factors (1 factor, 36.3 bits, 0.00174510% 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
2081479	86010875239	11	36.324	20661 3 × 71 × 97	-	71	97	6.474e-9	6.904e-6	1.378e-5

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-16	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 86010875239	-	-	0.123	-	-	5.148%

Trial Factoring results:
No TF results for M2081479

ECM factoring results:

Total ECM effort:	9.505 GHz-days
Estimated T-Level:	21.885

Digits	B1	Complete	FacMiss
20	11000	4.064	1.718%
25	50000	0.377	68.598%
30	250000	0.024	97.632%
35	1000000	0.001	99.887%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	6	0.510
50000	6599285	7	0.673
50000	6701837	7	0.677
50000	6718973	7	0.678
50000	6750000	14	1.360
50000	6900000	50	4.908
50000	7150000	7	0.699

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-01-04	Oliver Kruse	ECM-HTC	50000	5000000						3	0.255
2019-08-16	Malott	pacmat11	50000	5000000						3	0.255
2021-09-11	Dylan Delgado	laptop-ryzen73700	50000	6750000						7	0.680
2022-01-13	Dylan Delgado	colab	50000	6750000						7	0.680
2022-05-21	debrouxl	dl380g9-1	50000	6599285						7	0.673
2022-07-18	debrouxl	athlon2	50000	7150000						7	0.699
2022-09-30	debrouxl	o9020	50000	6701837						7	0.677
2022-12-04	debrouxl	o9020	50000	6718973						7	0.678
2023-06-17	EthanD	Mersenne	50000	6900000						50	4.908

Lucas-Lehmer results:
No L-L results for M2081479

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-06

Oliver Kruse

GTX-1

86010875239

207C0CDCAD30D4__

2017-11-16

kkmrkkblmbrbk

c4.xlarge

86010875239

207C0CDCAD30D4__

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

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

this exponent TF target: 62

TF double-checked to: 67.9

ECM T-Level=21.88 ~= 56-bit

2⁵⁰

2⁶⁰

2⁷⁰

JSON version of this page

Last modified: 2023-10-02T12:12:48+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
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0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront