M6 917 299 Mersenne number exponent details

≡

is 2 ^6917299 - 1

has 2082315 decimal digits

takes 1.508 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	4.2956	65.6716%	-	-	-	-	4.2956	65.6716%
Target	2⁶⁷	4.2956	65.6716%	45000	900000	0.0290	2.2361%	4.3246	66.4393%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2361%	-0.0290	-0.7676%

Known prime factors (2 factors, 77.9 bits, 0.00112630% 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
6917299	4980455281	10	32.214	360 2³ × 3² × 5	-	9	9	8.916e-11	2.846e-6	5.791e-6
6917299	56981997580793	14	45.696	4118804 2² × 353 × 2917	2008-09-30	353	2917	1.027e-6	0.0002	0.0002

1 Composite Factors:

P-1 results:
No P-1 results for M6917299

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-30	markr	Manual testing	?	?	56981997580793	45.696	14	3.49656e-7	7.341	1.70180e-6

ECM factoring results:
No ECM results for M6917299

Lucas-Lehmer results:
No L-L results for M6917299

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-18

ee33t1

x550lnv

4980455281

56981997580793

B54092F0783C49__

no

2019-01-24

kkmrkkblmbrbk

c5.large

4980455281

56981997580793

B54092F0783C493E

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

TF factor-bounds graph:

2

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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