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A133050
Cubes of Mersenne primes.
1
27, 343, 29791, 2048383, 549554511871, 2251748274470911, 144114363443707903, 9903520300447984150353281023, 12259964326927110850916040267783483001021757281745764351
OFFSET
1,1
LINKS
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 *)
(2^MersennePrimeExponent[Range[10]]-1)^3 (* Harvey P. Dale, Jul 18 2024 *)
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
KEYWORD
nonn
AUTHOR
Omar E. Pol, Oct 30 2007
EXTENSIONS
More terms from Olaf Voß, Feb 13 2008
STATUS
approved