A181149 - OEIS

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

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OFFSET

1,1

COMMENTS

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

LINKS

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

FORMULA

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

EXAMPLE

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

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 *)

PROG

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

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

CROSSREFS

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

Sequence in context: A051866 A162266 A368717 * A019063 A101740 A069126

Adjacent sequences: A181146 A181147 A181148 * A181150 A181151 A181152

KEYWORD

nonn,easy

AUTHOR

Jani Melik, Jan 24 2011

STATUS

approved