A133064 a(n) = 5*p^5 + 3*p^3 + 2*p^2, where p = prime(n).

192, 1314, 16050, 85162, 809490, 1863394, 7114602, 12401794, 32219274, 102630594, 143237050, 346874482, 579491130, 735284434, 1147040922, 2091429714, 3575244594, 4223669890, 6751536802, 9022230570, 10366535674, 15386773594, 19696932354, 27922427994, 42939458122, 52553613810

Offset

1,1

Links

Table of n, a(n) for n=1..26.

Formula

a(n) = 5*prime(n)^5 + 3*prime(n)^3 + 2*prime(n)^2, where prime(n)= A000040(n).

Example

a(4)=85162 because the 4th prime is 7, 5*7^5=84035, 3*7^3=1029, 2*7^2=98 and we can write 84035 + 1029 + 98 = 85162.

Mathematica

5#^5+3#^3+2#^2&/@Prime[Range[30]] (* Harvey P. Dale, Dec 17 2011 *)

Prog

(Magma) [5*p^5+3*p^3+2*p^2: p in PrimesUpTo(200)] // Vincenzo Librandi, Dec 15 2010
(PARI) a(n) = my(p=prime(n)); 5*p^5 + 3*p^3 + 2*p^2; \\ Michel Marcus, Mar 11 2022

Crossrefs

Cf. A000290, A000578, A000584, A045991, A133073, A000040 (prime numbers).

Sequence in context: A205768 A205761 A346251 * A183685 A254846 A051526

Adjacent sequences: A133061 A133062 A133063 * A133065 A133066 A133067

Keyword

nonn

Author

Omar E. Pol, Nov 05 2007

Extensions

More terms from Vincenzo Librandi, Dec 15 2010

Status

approved