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%I #16 Jul 08 2015 12:21:33
%S 3,13,193,37633,7300801,1416317953
%N Primes occurring as lesser 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 Prime elements of A016064. Alternatively, 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(1)=3 because 3, 4 and 5 are sides of Heronian triangle (area is 6, inradius is 1).
%Y Cf. A001353, A016064, A003500, A087602.
%K more,nonn
%O 1,1
%A _Zak Seidov_, Aug 07 2003