A133050 Cubes of Mersenne primes.

27, 343, 29791, 2048383, 549554511871, 2251748274470911, 144114363443707903, 9903520300447984150353281023, 12259964326927110850916040267783483001021757281745764351

Offset

1,1

Links

G. C. Greubel, Table of n, a(n) for n = 1..14

Formula

a(n) = A000668(n)^3.

Example

a(3)=29791 because the 3rd Mersenne prime is 31 and 31^3=29791.

Mathematica

Select[2^Prime[Range[50]]-1, PrimeQ]^3 (* Harvey P. Dale, Jul 10 2012 *)

Prog

(PARI) forprime(p=2, 1e2, if(isprime(2^p-1), print1((2^p-1)^3", "))); \\ Altug Alkan, Oct 03 2017

Crossrefs

Cf. A000578, A030078. Mersenne primes: A000668.

Sequence in context: A128831 A018797 A239220 * A125439 A339250 A202289

Adjacent sequences: A133047 A133048 A133049 * A133051 A133052 A133053

Keyword

nonn

Author

Omar E. Pol, Oct 30 2007

Extensions

More terms from Olaf Voß, Feb 13 2008

Status

approved