A333869 Perimeters of integer-sided triangles with at least one prime altitude.

12, 18, 30, 50, 56, 98, 132, 182, 242, 306, 338, 380, 552, 578, 722, 870, 992, 1058, 1406, 1682, 1722, 1892, 1922, 2256, 2738, 2862, 3362, 3540, 3698, 3782, 4418, 4556, 5112, 5402, 5618, 6320, 6962, 6972, 7442, 8010, 8978, 9506, 10082, 10302, 10658, 10712, 11556

Offset

1,1

Links

Giovanni Resta, Table of n, a(n) for n = 1..292 (terms < 10^6)

Eric Weisstein's World of Mathematics, Altitude

Wikipedia, Altitude (triangle)

Wikipedia, Integer Triangle

Example

12 is in the sequence since it is the perimeter of the triangle [3,4,5], whose altitude from 4 (its "middle" side) is 3 (prime).
18 is in the sequence since it is the perimeter of the triangle [5,5,8], whose altitude from 8 (its longest side) is 3 (prime).

Crossrefs

Cf. A005044, A333917, A333918, A333919.

Sequence in context: A138636 A075281 A171179 * A257768 A007371 A277725

Adjacent sequences: A333866 A333867 A333868 * A333870 A333871 A333872

Keyword

nonn

Author

Wesley Ivan Hurt, Apr 10 2020

Extensions

a(10)-a(29) from Jinyuan Wang, Apr 11 2020

Terms a(30) and beyond from Giovanni Resta, Apr 12 2020

Status

approved