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Lattice Points

Age 16 to 18
Challenge Level Yellow star
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The idea for this problem came from a Note in the Mathematical Gazette, Volume 20, July 2006 by Thomas Koshy entitled 'Lattice points in a family of hyperbolas'.

Even if you find some lattice points by trial and error you will still have to prove that there are no other possibilities.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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