A181149 a(n) = prime(n)^3 + prime(n)^2 + prime(n).

14, 39, 155, 399, 1463, 2379, 5219, 7239, 12719, 25259, 30783, 52059, 70643, 81399, 106079, 151739, 208919, 230763, 305319, 363023, 394419, 499359, 578759, 712979, 922179, 1040603, 1103439, 1236599, 1307019

Offset: 1

Author

Jani Melik, Jan 24 2011

Keywords

• nonn
• easy

Comments

a(n) is semiprime just when prime(n) is in A053182. - Charles R Greathouse IV, Apr 23 2022

Examples

			a(4)=399 because the 4th prime is 7, 7^3 = 343, 7^2 = 49, and 343 + 49 + 7 = 399.
		

Links

• Ivan Panchenko, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. p: A000040; p^2: A001248; p^3: A030078; p^2+p: A036690; p^3+p^2: A135178.

Programs

Magma

[p^3+p^2+p: p in PrimesUpTo(500)] // Vincenzo Librandi, Jan 26 2011

Maple

A181149 := n -> map (p -> p^(3)+p^(2)+p, ithprime(n)):
seq (A181149(n), n=1..40);

Mathematica

#^3+#^2+#&/@Prime[Range[30]] (* Harvey P. Dale, Aug 13 2013 *)

PARI

a(n,p=prime(n))=p^3+p^2+p \\ Charles R Greathouse IV, Apr 23 2022

Formula

a(n) = A135178(n) + A000040(n). - Elmo R. Oliveira, Mar 22 2023