A334584 Perimeters of primitive Heronian triangles whose smallest side length is prime.

12, 16, 18, 30, 42, 44, 50, 54, 56, 64, 66, 68, 70, 76, 80, 84, 90, 98, 100, 104, 108, 112, 128, 132, 140, 144, 150, 152, 156, 162, 164, 172, 174, 180, 182, 186, 192, 196, 198, 200, 204, 208, 210, 216, 220, 222, 224, 230, 232, 234, 236, 238, 242, 248, 250, 252, 256, 260

Offset

1,1

Links

Table of n, a(n) for n=1..58.

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 shortest side length is prime, which is [3,4,5].
a(4) = 30; there is one primitive Heronian triangle with a perimeter of 30 whose shortest side length is prime, [5,12,13].

Crossrefs

Cf. A010051, A096468, A334586, A334587.

Sequence in context: A334983 A334984 A334338 * A054281 A171955 A225071

Adjacent sequences: A334581 A334582 A334583 * A334585 A334586 A334587

Keyword

nonn

Author

Wesley Ivan Hurt, May 06 2020

Status

approved