A282406 Primes p = x^2 + y^2 such that x - y is a square greater than one.

101, 353, 461, 521, 653, 677, 733, 857, 881, 997, 1153, 1237, 1553, 1613, 1901, 2053, 2153, 2297, 2557, 2693, 2713, 2833, 3061, 3313, 3433, 3581, 3593, 4001, 4013, 4273, 4481, 4637, 4813, 5413, 5981, 6037, 6101, 6301, 6473, 6653, 7121, 7393, 7793, 7853, 7877

Offset

1,1

Links

Colin Barker, Table of n, a(n) for n = 1..1000

Formula

The prime number 353 is in the sequence because 353 = 17^2 + 8^2 and 17 - 8 = 9 = 3^2.

Mathematica

Select[Union[Total[#^2]&/@Select[Subsets[Range[100], {2}], #[[2]]-#[[1]]>1&&IntegerQ[Sqrt[#[[2]]-#[[1]]]]&]], PrimeQ] (* Harvey P. Dale, Dec 14 2024 *)

Crossrefs

Cf. A002313, A282353, A282381, A282405.

Sequence in context: A161907 A195855 A142769 * A142264 A142136 A158192

Adjacent sequences: A282403 A282404 A282405 * A282407 A282408 A282409

Keyword

nonn

Author

Colin Barker, Feb 14 2017

Status

approved