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A068964 Numbers that define integer Heronian triangles [prime(a(n)), prime(a(n)+1), A068965(n)] with area A068966(n). 4
2, 5, 24, 49, 87, 182, 307, 379, 458, 677, 1618, 2427, 4397, 4944, 5969, 6496, 8871, 9526, 11580, 13063, 16243, 17970, 18400, 20225, 25271, 28275, 37730, 42387, 46597, 48681, 50329, 56586, 58859, 61930, 64289, 65078, 70776, 78360, 80133, 83638, 83640, 115956, 118712 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..385

Eric Weisstein's World of Mathematics, Heronian Triangle.

EXAMPLE

a(3) = 24: [A000040(24), A000040(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 A068966(3) = 3204.

CROSSREFS

Sequence in context: A229210 A047147 A111047 * A200402 A010365 A218939

Adjacent sequences:  A068961 A068962 A068963 * A068965 A068966 A068967

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Mar 30 2002

EXTENSIONS

Terms a(13) and beyond from Giovanni Resta, Apr 20 2020

STATUS

approved

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Last modified May 31 10:42 EDT 2020. Contains 334748 sequences. (Running on oeis4.)