Published February 4, 2026 | Version v1
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Primitive Heronian triangles

Authors/Creators

  • 1. ROR icon University of Bayreuth

Description

Contains a list of all primitive Heronian triangles with diameter (longest side) up to 600,000. Here primitive means that the three side lengths a,b,c have greatest common divisor 1 and Heroian means that the three side lengths as well as the area of the corresponding triangle is integral. The format is just the three side lengths line by line, seperated by a blank. At the end of the file counts are given.  A used algorithm is described in the paper"Kurz, S. (2008). On the Generation of Heronian Triangles. Serdica Journal of Computing2(2), 181-196."  (https://serdica-comp.math.bas.bg/index.php/serdicajcomputing/article/view/sjc.2008.2.181-196).

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Additional details

References

  • Kurz, S. (2008). On the Generation of Heronian Triangles. Serdica Journal of Computing, 2(2), 181-196.