login
A334587
Perimeters of primitive Heronian triangles whose longest side length is prime.
2
12, 30, 36, 40, 50, 60, 70, 76, 78, 80, 84, 90, 98, 100, 108, 112, 126, 128, 132, 144, 150, 152, 156, 160, 164, 176, 180, 182, 192, 196, 198, 200, 204, 208, 210, 216, 220, 224, 228, 230, 234, 236, 240, 242, 250, 256, 258, 260, 266, 270, 272, 286, 288, 300, 306, 320
OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Heronian Triangle
Wikipedia, Integer Triangle
EXAMPLE
a(1) = 12; there is one primitive Heronian triangle with a perimeter of 12 whose longest side length is prime, which is [3,4,5].
a(4) = 40; there is one primitive Heronian triangle with a perimeter of 40 whose longest side length is prime, [8,15,17].
CROSSREFS
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, May 06 2020
STATUS
approved