

A154988


Odd numbers that are the rightangle adjacent side in more than one primitive Pythagorean triple with prime hypotenuse


1



15, 35, 39, 45, 51, 65, 69, 85, 95, 105, 141, 145, 159, 165, 175, 195, 205, 209, 221, 231, 245, 255, 261, 275, 279, 285, 299, 309, 315, 325, 329, 345, 371, 375, 391, 399, 415, 425, 435, 455, 459, 465, 471, 519, 535, 545, 555, 559, 561, 575, 581, 585, 595
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS

Robert Israel, Table of n, a(n) for n = 1..6000
Wikipedia, Pythagorean triple
Eric Rowland, Primitive Integral Solutions to x^2 + y^2 = z^2


EXAMPLE

165 exists in 3 Pythagorean triplets as rightangle adjacent side, (165, 52, 173), (165, 532, 557), (165, 1508, 1517); among these the first two have prime hypotenuse.


MAPLE

filter:= x > nops(select(t > subs(t, y)>0 and subs(t, z) > 0 and isprime(subs(t, z)), [isolve(x^2=z^2y^2)]))>1:
select(filter, [seq(i, i=1..1000, 2)]); # Robert Israel, Aug 30 2016


CROSSREFS

Sequence in context: A134335 A257591 A284406 * A202237 A080774 A146319
Adjacent sequences: A154985 A154986 A154987 * A154989 A154990 A154991


KEYWORD

nonn


AUTHOR

Avik Roy (avik_3.1416(AT)yahoo.co.in), Jan 18 2009


EXTENSIONS

Data corrected by Robert Israel, Aug 30 2016


STATUS

approved



