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A comment on Feynman on Fermat's Last Theorem (2016).
P(N) ≈ (number of perfect powers near N) / (size of the neighborhood)
≈ (ⁿ√(N + r) − ⁿ√N) / r, for some smallish r
≈ d/dN (ⁿ√N)
= ⁿ√N / nN
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P(N) ≈ (number of perfect powers near N) / (size of the neighborhood)
≈ (ⁿ√(N + r) − ⁿ√N) / r, for some smallish r
≈ d/dN (ⁿ√N)
= ⁿ√N / nN