OFFSET
3,1
COMMENTS
Does such an n-gon exist for all n >= 3? - Dmitry Kamenetsky, Feb 15 2017
LINKS
Carlos Rivera, Problem 64: prime convex quadrilateral.
Carlos Rivera, Problem 65: prime convex polygons.
EXAMPLE
For n=3, we have the triangle with sides 3, 4 and 5. Its area is 6.
For n=4, we have the quadrilateral with sides 10, 17, 28, 35, diagonals 21 and 39, and area 378.
For n=5, we have the 5-gon with sides 21, 41, 175, 140, 85, diagonals 50, 105, 104, 204, 195, and area 9870.
For n=6, we have the 6-gon with sides 47, 663, 264, 169, 105, 1020, diagonals 700, 884, 975, 855, 952, 1001, 425, 520, 272, and area 196950.
For n=7, we have the 7-gon with sides 235, 1320, 1360, 2340, 612, 525, 5100, diagonals 1547, 2805, 4557, 4875, 2600, 4420, 4760, 5005, 3500, 3952, 4301, 2880, 3315, 1131, and area 5695998.
For n=8, we have the 8-gon with sides 1547, 612, 525, 5355, 235, 4275, 845, 1360, diagonals 2125, 2600, 5365, 5304, 2163, 1131, 5520, 5525, 3500, 2805, 5460, 5491, 3952, 3315, 5408, 4301, 3720, 4420, 4875, 4760, and area 12473070.
See the Rivera links for images of these.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Dmitry Kamenetsky, Mar 18 2016
EXTENSIONS
a(6)-a(8) from Luca Petrone, Feb 06 2017
STATUS
approved