M6 953 543 Mersenne number exponent details

≡

is 2 ^6953543 - 1

has 2093226 decimal digits

takes 1.516 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 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
Actual	2⁶⁷	4.2732	65.6716%	-	-	-	-	4.2732	65.6716%
Target	2⁶⁷	4.2732	65.6716%	45000	900000	0.0290	2.2381%	4.3022	66.4399%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2381%	-0.0290	-0.7683%

Known prime factors (2 factors, 88.0 bits, 0.00126619% 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
6953543	13907087	8	23.729	1 1	-	1	1	1.607e-13	3.162e-7	6.435e-7
6953543	22957019007511518521	20	64.316	1650742578820 2² × 5 × 179 × 461101279	2017-09-07	179	461101279	0.7747	7.9432	14.836

1 Composite Factors:

P-1 results:
No P-1 results for M6953543

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2017-09-07	TJAOI	Manual testing	2⁶⁴	2⁶⁵*	22957019007511518521	64.316	20	0.263	6.285	1.090

ECM factoring results:
No ECM results for M6953543

Lucas-Lehmer results:
No L-L results for M6953543

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-28

Oliver Kruse

GTX-3

13907087

22957019007511518521

B9BBDB239581E1__

no

2019-02-09

arnaud

stm-11-010

13907087

22957019007511518521

B9BBDB239581E16A

no

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

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁵

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

Last modified: 2023-04-26T21:34:10+00:00