

A155903


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


0



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
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OFFSET

1,1


COMMENTS

Only primes of the form 3k+2 can generate this series [only exception is a(2)=37, generated by x=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



