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A333869 Perimeters of integer-sided triangles with at least one prime altitude. 2
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, 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
Sequence in context: A138636 A075281 A171179 * A257768 A007371 A277725
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

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Last modified March 29 06:15 EDT 2024. Contains 371265 sequences. (Running on oeis4.)