Fascinating indeed ....I am wondering about 0^1 and 1^0 ?
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I think this conjecture excludes 0 because technically any number a^0 would be consecutive with 2^1 or 0^1
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2^3 and 3^2 are also the only perfect powers when 2^n < n^2.
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I find this result very fascinating
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România
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and 26 the only number sandwiched between a square and a cube
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