|
|
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
|
Eric Weisstein's World of Mathematics, Altitude
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|