A154881 First prime in a consecutive sequence of 6 primes such that, when taken as ordered x,y,z triples, the Cartesian distance between the two points is an integer.

17, 19, 23, 53, 263, 293, 811, 839, 1277, 1279, 1283, 1373, 1607, 1619, 1877, 3413, 3527, 3593, 3967, 4127, 4423, 4637, 4943, 5273, 5471, 5839, 6029, 6271, 6473, 6529, 7127, 7219, 7237, 7307, 7741, 8237, 8273, 8293, 8513, 8761, 9109, 9323, 9473, 9587

Offset

1,1

Links

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

Example

a(1)=17 because the distance between (17,19,23) and (29,31,37) is 22. a(7)=811 because the distance between (811,821,823) and (827,829,839) is 24.

Mathematica

cdiQ[n_]:=Module[{a=Take[n, 3], b=Take[n, -3]}, IntegerQ[Sqrt[Total[(a-b)^2]]]]; Select[Partition[Prime[Range[1200]], 6, 1], cdiQ][[All, 1]] (* Harvey P. Dale, Apr 10 2019 *)

Crossrefs

Sequence in context: A231326 A038711 A288613 * A226684 A334287 A249566

Adjacent sequences: A154878 A154879 A154880 * A154882 A154883 A154884

Keyword

easy,nonn

Author

Gil Broussard, Jan 16 2009

Status

approved