In the thirty years since it was proved that 0, 1 and 144 were the only perfect squares in the Fibonacci sequence [1, 9], several generalisations have been proved, but many problems remain. Thus it has been shown that 0, 1 and 8 are the only Fibonacci cubes  but there seems to be no method available to prove the conjecture that 0, 1, 8 and 144 are the only perfect powers.
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