login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A160859 Primes p such that p^3 + p^2 - 1 and p^3 + p^2 + 1 are prime. 0
2, 5, 11, 47, 71, 89, 179, 317, 461, 659, 1481, 1499, 1511, 2141, 2441, 2549, 2777, 2879, 2909, 3221, 3659, 3677, 3701, 4229, 4337, 4691, 5669, 5807, 7517, 8147, 8867, 9029, 9311, 10271, 13907, 14327, 14747, 15107, 15269, 16217, 16301, 16937, 17627 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

2^3 + 2^2 - 1 = 11, 2^3 + 2^2 + 1 = 13

LINKS

Table of n, a(n) for n=1..43.

MATHEMATICA

lst={}; Do[p=Prime[n]; a=p^2; b=p^3; c=b+a; If[PrimeQ[c-1]&&PrimeQ[c+1], AppendTo[lst, p]], {n, 2*7!}]; lst

ppQ[n_]:=Module[{c=n^3+n^2}, And@@PrimeQ[c+{1, -1}]]; Select[Prime[Range[ 2100]], ppQ] (* Harvey P. Dale, Jan 18 2013 *)

CROSSREFS

Cf. A160858

Sequence in context: A088148 A088149 A153989 * A106887 A236044 A285809

Adjacent sequences:  A160856 A160857 A160858 * A160860 A160861 A160862

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, May 29 2009

EXTENSIONS

Edited by Charles R Greathouse IV, Nov 11 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 15 15:20 EDT 2018. Contains 316236 sequences. (Running on oeis4.)