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Erdős problem 978

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Let f ∈ ℤ[X] be an irreducible polynomial with positive leading coefficient. Suppose that the degree k of f is larger than 2, is not equal to a power of 2, and f n has no fixed (k - 1)-th power divisors other than 1. Then the set of n such that f n is (k - 1)-th power free has positive density, and this is proved in [Ho67].

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Problem row
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Metadata
sha256:a4f0851a733d45886d709236b5ab2e5d7290d2dd3b9669ae54f448531c3ecd7a
Observation
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sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
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sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
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36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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