M2624483 Mersenne number exponent details

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M2624483

<<<

>>>

is 2 ^2624483 - 1

has 790049 decimal digits

takes 0.203 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	11.3218	67.1642%	2000000	60000000	0.5779	7.6853%	11.8997	69.6877%	2.5235%
PrimeNet	2⁵⁹	0.0293	62.7119%	11000	200000	0.0024	2.6995%	0.0316	63.7185%	1.0066%
GPU72	2⁶³	0.6081	65.0794%	13000	200000	0.0026	1.5718%	0.6107	65.6282%	0.5489%
Difference	+4	+10.7137	+2.0848%	+1987000	+59800000	+0.5753	+6.1136%	+11.2890	+4.0595%	+4.0595%

Known prime factors (1 factor, 49.4 bits, 0.00188146% 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
2624483	731848910470399	15	49.379	139427253 3² × 7 × 193 × 11467	-	193	11467	3.026e-5	9.040e-5	0.0001

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-07-04T12:43:05	alpertron	Manual testing	2000000	60000000	12	-	skipped known factor: 731848910470399	-	-	0.578	-	-	7.685%

Trial Factoring results:
No TF results for M2624483

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.309 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:	0.309 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	0.309

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-03-29T02:07:20	Oliver Kruse	ECM-HTC	50000	5000000						3	0.309

Lucas-Lehmer results:
No L-L results for M2624483

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-17T14:36:43

Oliver Kruse

GTX-2

731848910470399

6D7E933FAB4AE1__

2017-12-02T18:52:31

kkmrkkblmbrbk

c4.xlarge

731848910470399

6D7E933FAB4AE1__

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 = 2000000, B2 = 60000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-07-04T12:43:05+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