Talk:Diophantine equation

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tell me in the way to figure out the problem on his tomb theat tells how old he was when he died... please tell me how to do that problem

See here: Diophantus Tombstone Problem

[edit] Fibonacci Sequence and its Second Degree Diophantine Equation

Forty years ago I discovered that the Fibonacci Sequence (1, 1, 2, 3, 5, 8, etc) can be generated from the second degree Diophantine equation

    5k^2 -/+ 4 = m^2    where the -,+ is taken alternately.

The equation is a variation on Pell's, in that

    x^2 - ny^2 = +/-  4   instead of 1.

Walter Abetz 13:32, 19 November 2006 (UTC)

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