A176585 Primes of the form n^3+Smallest square, (Smallest square >= n^3).

2, 17, 269, 281233, 1770217, 1826609, 2520841, 3907529, 7595017, 8665471, 9828089, 11280377, 12259063, 17235221, 27654961, 54008809, 70583033, 75196799, 85018949, 87240233, 106316057, 111499057, 168061561, 176255669, 201105409

Offset

1,1

Comments

8+9=17, 5^3+12^2=269,..

Links

Table of n, a(n) for n=1..25.

Mathematica

r[n_]:=n^3; f[n_]:=r[n]+Ceiling[Sqrt[r[n]]]^2; Select[Table[f[n], {n, 0, 6!}], PrimeQ[ # ]&]
ssn3[n_]:=n^3+(Ceiling[Sqrt[n^3]])^2; Select[Array[ssn3, 500], PrimeQ] (* Harvey P. Dale, Jun 23 2017 *)

Crossrefs

Cf. A065733, A075847, A077116, A176580, A176581, A176582, A176583, A176584

Sequence in context: A379847 A301584 A195443 * A086534 A198287 A379691

Adjacent sequences: A176582 A176583 A176584 * A176586 A176587 A176588

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Apr 21 2010

Status

approved