A135175 a(n) = 5^p + 3^p - 2^p, where p = prime(n).

30, 144, 3336, 80184, 49003224, 1222289256, 763068462216, 19074648065304, 11921023089868344, 186264583552936197096, 4656613490748641378424, 72759576592118027485247016, 45474735125119406073899483976, 1136868377544417255992242883544, 710542735786689000089344282510584

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Formula

a(n) = 5^p + 3^p - 2^p with p = A000040(n).

Example

a(4)=80184 because the 4th prime number is 7, 5^7=78125, 3^7=2187, 2^7=128 and 78125+2187-128=80184.

Maple

a:= n-> (p-> 5^p+3^p-2^p)(ithprime(n)):
seq(a(n), n=1..15);  # Alois P. Heinz, Jun 08 2025

Mathematica

5^#+3^#-2^#&/@Prime[Range[20]]  (* Harvey P. Dale, Apr 04 2011 *)
Table[5^p + 3^p - 2^p, {p, Prime[Range[20]]}] (* Vincenzo Librandi, May 24 2014 *)

Prog

(Magma) [5^p+3^p-2^p: p in PrimesUpTo(100)]; // Vincenzo Librandi, Dec 14 2010

Crossrefs

Cf. 2^p: A034785. 3^p: A057901. 2^5: A057902.

Sequence in context: A229450 A124958 A126417 * A186895 A185480 A316459

Adjacent sequences: A135172 A135173 A135174 * A135176 A135177 A135178

Keyword

nonn,easy

Author

Omar E. Pol, Nov 25 2007

Extensions

More terms from Vincenzo Librandi, Dec 14 2010

Status

approved