M5024207 Mersenne number exponent details

≡

M5024207

<<<

>>>

is 2 ^5024207 - 1

has 1512438 decimal digits

takes 0.696 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	5.9142	65.6716%	-	-	-	-	5.9142	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0611	62.2951%	22000	450000	0.0091	3.3159%	0.0702	63.5453%	1.2503%
GPU72	2⁶⁵	1.4521	64.6154%	34000	700000	0.0141	2.4180%	1.4662	65.4710%	0.8556%
Difference	+2	+4.4620	+1.0563%	-34000	-700000	-0.0141	-2.4180%	+4.4479	+0.2007%	+0.2007%

Known prime factors (1 factor, 46.5 bits, 0.00092518% 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
5024207	98339084966593	14	46.483	9786528 2⁵ × 3³ × 47 × 241	-	47	241	2.418e-6	1.157e-5	1.922e-5

P-1 results:
No P-1 results for M5024207

Trial Factoring results:
No TF results for M5024207

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.632 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:	0.632 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	0.632

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-09-22T13:24:34	J.R. Allen	lapacer	50000	5000000						3	0.632

Lucas-Lehmer results:
No L-L results for M5024207

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-22T13:47:12

Oliver Kruse

GTX-0

98339084966593

945CC899ADD272__

2018-01-14T11:20:10

kkmrkkblmbrbk

c4.xlarge

98339084966593

945CC899ADD272__

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

TF factor-bounds graph:

2⁶⁷

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-09-22T13:24:34+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