M82939 Mersenne number exponent details

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is 2 ⁸²⁹³⁹ - 1

has 24968 decimal digits

takes 0.000 GHz-days to do one PRP test

Has been fully factored.

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- L-L tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	M82939/867140681

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	unknown			-	-	-	-	0.0000	0.0000%	-57.5000%
PrimeNet	2⁴⁰	0.0000	57.5000%	900	13000	0.0000	6.7113%	0.0000	60.3523%	2.8523%
GPU72	2⁴⁴	0.0000	61.3636%	500	10000	0.0000	2.3547%	0.0000	62.2734%	0.9098%
Difference	-44	0.0000	-61.3636%	-500	-10000	0.0000	-2.3547%	0.0000	-62.2734%	-62.2734%

Known prime factors (3 factors, 82,939.0 bits, 100.00000000% known):

Remaining cofactor is a certified-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
82939	867140681119	12	39.657	5227581 3 × 1742527	-	3	1742527	1.334e-6	0.0002	0.0004
82939	1018662740943783967	19	59.821	6141035827197 3² × 43 × 15868309631	2009-07-15	43	15868309631	0.9494	1.8804	3.5121
82939	hide decimal representation P24938 click to show decimal representation	24,938	82,839.521				2009-07-15

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
82939	867140681119 1018662740943783967	883323903012540278033571819073	30	99.479

P-1 results:
Exponent "82939" not found

Trial Factoring results:
Exponent "82939" not found

ECM factoring results:

Total ECM effort:

0.454 GHz-days

Digits	B1	Curves	Complete	FacMiss
20	11000	290 / 100	2.900	5.423%
25	50000	290 / 280	1.036	35.432%

ECM Summary

B1	B2	factor	curves	GHz-days
		1018662740943783967	1	0.00000e+0
50000	5000000		290	0.454

Lucas-Lehmer results:
Exponent "82939" not found

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-30T21:48:19

ATH

ec2-1x

867140681119

1018662740943783967

PRP

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2017-10-30T21:48:19+00:00