

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.


1



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
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS



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[(ac)^2+(bd)^2]]; Transpose[Select[ Partition[ Prime[Range[700]], 4, 1], cdQ]][[1]] (* Harvey P. Dale, Mar 23 2015 *)


CROSSREFS



KEYWORD

easy,nonn


AUTHOR



STATUS

approved



