A135178 -id:A135178 - cp's OEIS frontend

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

Jani Melik, Jan 24 2011

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

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

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

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

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

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

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

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

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

A181151 a(n) = prime(n)^3 + prime(n)^2 + 1.

Original entry on oeis.org

13, 37, 151, 393, 1453, 2367, 5203, 7221, 12697, 25231, 30753, 52023, 70603, 81357, 106033, 151687, 208861, 230703, 305253, 362953, 394347, 499281, 578677, 712891, 922083, 1040503, 1103337, 1236493, 1306911, 1455667, 2064513, 2265253, 2590123, 2704941, 3330151, 3465753, 3894543, 4357317, 4685353, 5207647, 5767381

Offset: 1

Jani Melik, Jan 24 2011

			a(4)=393 because the 4th prime is 7, 7^3=343, 7^2=49, and 343+49+1=393.

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A000040, A001248, A030078, A060800, A135178.

[p^3+p^2+1: p in PrimesUpTo(700)]; // Vincenzo Librandi, Jan 26 2011

A181151 := n -> map (p -> p^(3)+p^(2)+1, ithprime(n)):
seq (A181151(n), n=1..41);

#^3+#^2+1&/@Prime[Range[45]]  (* Harvey P. Dale, Jan 25 2011 *)

a(n) = A135178(n) + 1. - Elmo R. Oliveira, Jan 27 2023

cp's OEIS Frontend

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

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