M2291327 Mersenne number exponent details

≡

M2291327

<<<

>>>

is 2 ^2291327 - 1

has 689759 decimal digits

takes 0.155 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	12.9680	67.1642%	500000	15000000	0.1264	5.2074%	13.0944	68.8741%	1.7099%
PrimeNet	2⁵⁸	0.0168	62.0690%	10000	190000	0.0019	2.9260%	0.0187	63.1788%	1.1098%
GPU72	2⁶²	0.2681	64.5161%	12000	200000	0.0022	1.7363%	0.2703	65.1322%	0.6161%
Difference	+5	+12.6999	+2.6481%	+488000	+14800000	+0.1242	+3.4712%	+12.8241	+3.7419%	+3.7419%

Known prime factors (1 factor, 43.0 bits, 0.00187714% 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
2291327	8866560203087	13	43.012	1934809 1033 × 1873	-	1033	1873	9.153e-7	0.0001	0.0002

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-04-22T15:30:37	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 8866560203087	-	-	0.126	-	-	5.207%

Trial Factoring results:
No TF results for M2291327

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.265 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:	0.265 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	0.265

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-01-30T23:12:48	Oliver Kruse	ECM-HTC	50000	5000000						3	0.265

Lucas-Lehmer results:
No L-L results for M2291327

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-11T09:08:19

Oliver Kruse

GTX-1

8866560203087

901386580B2486__

2017-11-22T11:35:03

kkmrkkblmbrbk

c4.xlarge

8866560203087

901386580B2486__

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)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-01-30T23:12:48+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