A154880 First prime in a consecutive sequence of 4 primes such that, when taken as ordered x,y pairs, the Cartesian distance between the two points is an integer.

2, 67, 239, 241, 283, 331, 547, 577, 769, 829, 1033, 1171, 1399, 1447, 1493, 1601, 1621, 1759, 1933, 2011, 2213, 2243, 2377, 2591, 2609, 2707, 2713, 2749, 2887, 3259, 3511, 3541, 3769, 3793, 3823, 3853, 3911, 4241, 4271, 4373, 4391, 4423, 4651, 4673

Offset

1,1

Links

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

Example

a(1)=2 because the distance between (2,3) and (5,7) is 5. a(2)=67 because the distance between (67,71) and (73,79) is 10.

Mathematica

cdQ[{a_, b_, c_, d_}]:=IntegerQ[Sqrt[(a-c)^2+(b-d)^2]]; Transpose[Select[ Partition[ Prime[Range[700]], 4, 1], cdQ]][[1]] (* Harvey P. Dale, Mar 23 2015 *)

Crossrefs

Sequence in context: A107214 A371509 A174602 * A160958 A046848 A318064

Adjacent sequences: A154877 A154878 A154879 * A154881 A154882 A154883

Keyword

easy,nonn

Author

Gil Broussard, Jan 16 2009

Status

approved