A334586 Perimeters of primitive Heronian triangles whose middle side length is prime.

16, 18, 32, 36, 44, 48, 50, 54, 64, 72, 90, 96, 98, 100, 108, 112, 128, 130, 132, 140, 144, 150, 154, 160, 162, 170, 172, 192, 196, 200, 204, 210, 224, 240, 242, 248, 250, 256, 270, 286, 290, 294, 300, 306, 318, 320, 322, 324, 336, 338, 350, 352, 356, 364, 378, 380

Offset

1,1

Links

Table of n, a(n) for n=1..56.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

a(1) = 16; there is one primitive Heronian triangle with a perimeter of 16 whose middle side length is prime, which is [5,5,6].
a(3) = 32; there is one primitive Heronian triangle with a perimeter of 32 whose middle side length is prime, [4,13,15].

Crossrefs

Cf. A010051, A096468, A334584, A334587.

Sequence in context: A335223 A334453 A335243 * A333917 A335248 A308222

Adjacent sequences: A334583 A334584 A334585 * A334587 A334588 A334589

Keyword

nonn

Author

Wesley Ivan Hurt, May 06 2020

Status

approved