A333869 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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