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 A087602 Primes occurring as larger side of Heronian triangle (sides are consecutive integers, area and inradius are integers). 1
 3, 5, 53, 140453 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Next term (if it exists) is greater than 10^10000. - Ray Chandler, Jul 04 2015 REFERENCES 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. LINKS FORMULA p, p-1 and p-2 are sides of Heronian triangle. Primes p such that 3*(p-1)^2-12 is a square, i.e., p-1 belongs to A003500. - Max Alekseyev, May 14 2010 EXAMPLE a(3)=53 because 53, 52 and 51 are sides of Heronian triangle (area is 1170, inradius is 15). CROSSREFS Cf. A001353, A016064, A003500, A087601. Sequence in context: A260223 A260225 A020462 * A086340 A248923 A155121 Adjacent sequences:  A087599 A087600 A087601 * A087603 A087604 A087605 KEYWORD more,nonn AUTHOR Zak Seidov, Aug 07 2003 STATUS approved

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Last modified May 28 04:36 EDT 2020. Contains 334671 sequences. (Running on oeis4.)