A176135 Primes p of the form prime(n+1)^3-prime(n)^3-1.

97, 45053, 56501, 21601, 104021, 426941, 345601, 437401, 1351421, 4409677, 3936727, 5880727, 4608701, 5326901, 6393941, 2160001, 6566741, 2613601, 8323253, 9750581, 13392343, 10233341, 30060757, 48278539, 23380183, 22018301

Offset

1,1

Comments

5^3-3^3-1=97,...

Links

Table of n, a(n) for n=1..26.

Mathematica

Select[Table[Prime[n+1]^3-Prime[n]^3-1, {n, 6!}], PrimeQ[ # ]&]
Select[#[[2]]-#[[1]]-1&/@Partition[Prime[Range[200]]^3, 2, 1], PrimeQ] (* Harvey P. Dale, Nov 13 2017 *)

Crossrefs

Cf. A000040, A176134

Sequence in context: A306480 A321041 A173354 * A160489 A220982 A193825

Adjacent sequences: A176132 A176133 A176134 * A176136 A176137 A176138

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Apr 09 2010

Status

approved