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%I #12 Jul 08 2015 12:22:29
%S 3,5,53,140453
%N Primes occurring as larger side of Heronian triangle (sides are consecutive integers, area and inradius are integers).
%C Next term (if it exists) is greater than 10^10000. - _Ray Chandler_, Jul 04 2015
%D Mohammad K. Azarian, Circumradius and Inradius, Problem S125, Math Horizons, Vol. 15, Issue 4, April 2008, p. 32. Solution published in Vol. 16, Issue 2, November 2008, p. 32.
%F p, p-1 and p-2 are sides of Heronian triangle.
%F Primes p such that 3*(p-1)^2-12 is a square, i.e., p-1 belongs to A003500. - _Max Alekseyev_, May 14 2010
%e a(3)=53 because 53, 52 and 51 are sides of Heronian triangle (area is 1170, inradius is 15).
%Y Cf. A001353, A016064, A003500, A087601.
%K more,nonn
%O 1,1
%A _Zak Seidov_, Aug 07 2003
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