A155903 Primes of the form p^3 + p^2 + 1, where p is a prime.

13, 37, 151, 1453, 12697, 106033, 151687, 362953, 712891, 1040503, 5767381, 7004353, 7004353, 13709041, 18260617, 31955503, 46397161, 59015191, 98184703, 102065653, 127516537, 208879507, 286625461, 441290203, 866431387, 916441453, 1299786853, 1574390317, 1830772297

Offset

1,1

Comments

Only primes p of the form 3k+2 can yield terms of this sequence (the only exception is a(2)=37, generated by p=3).

No prime of this sequence can generate another term in this sequence because all terms of this sequence are 1 modulo 3.

Links

Table of n, a(n) for n=1..29.

Example

a(12) = 7004353 = 191^3 + 191^2 + 1.

Mathematica

Select[Table[x^3+x^2+1, {x, Prime[Range[200]]}], PrimeQ] (* Harvey P. Dale, Jul 31 2014 *)

Crossrefs

Sequence in context: A206443 A155297 A181151 * A139860 A201480 A036570

Adjacent sequences: A155900 A155901 A155902 * A155904 A155905 A155906

Keyword

nonn

Author

Avik Roy (avik_3.1416(AT)yahoo.co.in), Jan 30 2009

Extensions

More terms from Harvey P. Dale, Jul 31 2014

Status

approved