M1 730 937 983 Mersenne number exponent details

≡

is 2 ^1730937983 - 1

has 521064254 decimal digits

takes 170,990.228 GHz-days to do one PRP test

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	2⁶⁸	0.0344	54.4118%	-	-	-	-	0.0344	54.4118%
Target	2⁸⁸	36,214.9800	64.7727%	9000000	2500000000	20,728.8873	4.2954%	56,943.8674	66.2859%
Difference	-20	-36,214.9456	-10.3610%	-9000000	-2500000000	-20,728.8873	-4.2954%	-56,943.8329	-11.8741%

Known prime factors (1 factor, 36.5 bits, 0.00000211% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1730937983	96932527049	11	36.496	28 2² × 7	2012-08-20	4	7	5.641e-12	0.0006	0.0012

P-1 results:
No P-1 results for M1730937983

Trial Factoring results:
No TF results for M1730937983

ECM factoring results:
No ECM results for M1730937983

Lucas-Lehmer results:
No L-L results for M1730937983

PRP results:
No PRP results for M1730937983

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

10⁰

10¹

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 88

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

JSON version of this page

Last modified: 2023-10-02T12:12:48+00:00