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A068964 Numbers that define integer Heronian triangles [prime(a(n)), prime(a(n)+1), A068965(n)] with area A068966(n). +0
3
2, 5, 24, 49, 87, 182, 307, 379, 458, 677, 1618, 2427 (list; graph; listen)
OFFSET

1,1

LINKS

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: A130379 A047147 A111047 this_sequence A010365 A012262 A012254

Adjacent sequences: A068961 A068962 A068963 this_sequence A068965 A068966 A068967

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 30 2002

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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