A176136 Primes p of the form prime(n+1)^3-prime(n)^3+1.

5309, 18269, 24317, 56503, 73783, 57149, 133183, 622331, 607517, 1002583, 1815731, 1161343, 1273663, 1351423, 1145789, 2008063, 1478429, 1910429, 5142131, 5326903, 5766463, 5930623, 6393943, 4538717, 14532731, 6912989

Offset

1,1

Comments

23^3-19^3+1=5309,...

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

Select[Table[Prime[n+1]^3-Prime[n]^3+1, {n, 6!}], PrimeQ[ # ]&]
Select[#[[2]]-#[[1]]+1&/@(Partition[Prime[Range[200]], 2, 1]^3), PrimeQ] (* Harvey P. Dale, Aug 21 2016 *)

Crossrefs

Cf. A000040, A176134, A176135

Sequence in context: A252189 A204838 A212078 * A213964 A133152 A252199

Adjacent sequences: A176133 A176134 A176135 * A176137 A176138 A176139

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Apr 09 2010

Status

approved