Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Item 469

Square Fibonacci Numbers

What are the only square Fibonacci numbers?

How can we show that these are the only ones?

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James Tanton
MS Math

Source: James Tanton

__, __ only square Fib nmbrs. 1,3,21,55 only triangular Fib nmbrs. 2 only oblong Fib nmbr. 1,8 only cubes. (Weird!) Any tetrahedral beyond 1? — James Tanton (@jamestanton) January 21, 2014

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