M2550089 Mersenne number exponent details

≡

M2550089

<<<

>>>

is 2 ^2550089 - 1

has 767654 decimal digits

takes 0.177 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	11.6521	67.1642%	2000000	60000000	0.5190	7.6627%	12.1711	69.6803%	2.5161%
PrimeNet	2⁵⁹	0.0301	62.7119%	11000	200000	0.0021	2.6853%	0.0323	63.7132%	1.0013%
GPU72	2⁶³	0.6259	65.0794%	12000	180000	0.0021	1.4780%	0.6280	65.5955%	0.5161%
Difference	+4	+11.0262	+2.0848%	+1988000	+59820000	+0.5168	+6.1847%	+11.5431	+4.0848%	+4.0848%

Known prime factors (1 factor, 35.6 bits, 0.00139774% 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
2550089	53674273273	11	35.644	10524 2² × 3 × 877	-	4	877	2.294e-9	5.186e-6	8.990e-6

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-07-04T12:40:10	alpertron	Manual testing	2000000	60000000	12	-	skipped known factor: 53674273273	-	-	0.519	-	-	7.663%

Trial Factoring results:
No TF results for M2550089

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.277 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:	0.277 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	0.277

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-03-17T18:13:05	Oliver Kruse	HTC5	50000	5000000						3	0.277

Lucas-Lehmer results:
No L-L results for M2550089

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-14T21:09:55

Oliver Kruse

GTX-0

A29FCD468ABBEA__

2017-12-01T12:57:41

kkmrkkblmbrbk

c4.xlarge

53674273273

A29FCD468ABBEA__

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)

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: 2019-07-04T12:40:10+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