A334587 Perimeters of primitive Heronian triangles whose longest side length is prime.

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

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) = 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

Cf. A010051, A096468, A334584, A334586.

Sequence in context: A050689 A365041 A144565 * A329947 A115912 A083096

Adjacent sequences: A334584 A334585 A334586 * A334588 A334589 A334590

Keyword

nonn

Author

Wesley Ivan Hurt, May 06 2020

Status

approved