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A087601 Primes occurring as lesser side of Heronian triangle (sides are consecutive integers, area and inradius are integers). 1
3, 13, 193, 37633, 7300801, 1416317953 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Next term (if exists) is greater than 10^2000. [From Max Alekseyev (maxale(AT)gmail.com), May 14 2010]

FORMULA

Prime elements of A016064. Alternatively, primes p such that 3*(p+1)^2 - 12 is a square, i.e., p+1 belongs to A003500. [From Max Alekseyev (maxale(AT)gmail.com), May 14 2010]

EXAMPLE

a(1)=3 because 3, 4 and 5 are sides of Heronian triangle (area is 6, inradius is 1).

CROSSREFS

Cf. A001353, A016064, A087602.

Sequence in context: A081299 A117808 A002065 * A145503 A112093 A085010

Adjacent sequences:  A087598 A087599 A087600 * A087602 A087603 A087604

KEYWORD

more,nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Aug 07 2003

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Last modified February 14 06:37 EST 2012. Contains 205571 sequences.