A154111 Numbers n such that (n+1)^2 - n^3 is a (positive or negative) prime.

1, 3, 5, 6, 8, 11, 12, 15, 18, 20, 27, 33, 35, 39, 41, 45, 48, 50, 54, 65, 66, 68, 86, 87, 92, 96, 99, 107, 116, 122, 123, 126, 138, 140, 149, 150, 156, 159, 161, 164, 165, 167, 170, 177, 182, 185, 188, 191, 192, 198, 200, 207, 209, 219, 228, 237, 239, 240, 242, 252

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Jan 04 2009

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 1..2000

Crossrefs

Cf. A140719, A005097.

Programs

Magma

[n: n in [0..500] | IsPrime((n+1)^2-n^3)]; // Vincenzo Librandi, Nov 26 2010

Mathematica

Select[Range[300],PrimeQ[(#+1)^2-#^3]&] (* Harvey P. Dale, Dec 06 2015 *)

PARI

is(n)=isprime(abs((n+1)^2 - n^3)) \\ Charles R Greathouse IV, Sep 02 2016