A176134 Primes p of the form |prime(n+2)^2-prime(n+1)^2-prime(n)^2|, (absolute values).

47, 97, 409, 433, 1201, 1321, 1249, 2713, 3169, 4201, 4129, 5209, 7129, 9001, 10177, 8521, 15889, 20353, 29209, 36457, 33889, 48817, 49681, 52201, 69073, 71209, 93001, 94201, 88897, 117529, 118801, 140401, 165601, 203017, 210361, 225529, 229249

Offset

1,1

Comments

11^2-7^2-5^2=47, 19^2-17^2-13^2=abs(97),...

Links

Table of n, a(n) for n=1..37.

Mathematica

Select[Table[Abs[Prime[n+2]^2-Prime[n+1]^2-Prime[n]^2], {n, 6!}], PrimeQ[ # ]&]
Select[Abs[#[[3]]-#[[2]]-#[[1]]]&/@(Partition[Prime[Range[100]], 3, 1]^2), PrimeQ] (* Harvey P. Dale, Jun 24 2013 *)

Crossrefs

Cf. A000040

Sequence in context: A281437 A319051 A180550 * A155844 A245688 A211331

Adjacent sequences: A176131 A176132 A176133 * A176135 A176136 A176137

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Apr 09 2010

Status

approved