A153262 Squares such that square+-3=primes.

16, 64, 100, 196, 4096, 8464, 12544, 19600, 21316, 29584, 47524, 88804, 92416, 103684, 106276, 115600, 122500, 126736, 173056, 193600, 220900, 258064, 306916, 313600, 336400, 391876, 401956, 425104, 446224, 470596, 481636, 495616, 529984

Offset

1,1

Comments

16-3=13,16+3=19,primes; 64-3=61,64+3=67,primes;...

The squared members of the intersection of A028873 and A049422. [From R. J. Mathar, Jan 03 2009]

Links

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

Mathematica

lst={}; Do[p=n^2; If[PrimeQ[p-3]&&PrimeQ[p+3], AppendTo[lst, p]], {n, 7!}]; lst
Select[Range[750]^2, And@@PrimeQ[#+{3, -3}]&] (* Harvey P. Dale, Dec 19 2012 *)

Crossrefs

Cf. A144938

Sequence in context: A129588 A043193 A043973 * A316301 A072128 A277016

Adjacent sequences: A153259 A153260 A153261 * A153263 A153264 A153265

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Dec 22 2008

Status

approved