A068966 Areas of integer Heronian triangles [prime(A068964(n)), prime(A068964(n)+1), A068965(n)].
6, 66, 3204, 6810, 37716, 72006, 182430, 532236, 370614, 2155134, 3203694, 6353634, 51712890, 42020844, 28698786, 33163770, 55637466, 125033580, 172985436, 105470250, 151375626, 178631034, 185921166, 217064574, 939603126, 376267326, 1812742734, 2193232470, 853918566
Offset: 1
Keywords
Examples
A068964(3) = 24: [prime(24), prime(25), A068965(3)] = [89,97,170], with s = (89+97+170)/2 = 178: Area^2 = s*(s-89)*(s-81)*(s-170) = 178*89*81*8 = 10265616 = 3204*3204, therefore a(3) = 3204.
Links
- Giovanni Resta, Table of n, a(n) for n = 1..385
- Eric Weisstein's World of Mathematics, Heronian Triangle.
- Eric Weisstein's World of Mathematics, Heron's Formula.
Extensions
Terms a(13) and beyond from Giovanni Resta, Apr 20 2020