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    Integer factorization is not known to be in P but is in NP — Carmelics
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    Home/Modality & Possibility
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    Supports→If P equals NP, factoring a natural number would be no more difficult than verifying that a given factorization is correct

    Integer factorization is not known to be in P but is in NP

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    Related propositions within the same area of thought.
    If P equals NP, factoring a natural number would be no more difficult than verif...If P equals NP, finding and verifying solutions to NP problems are equally diffi...Verifying a factorization is a polynomial-time task

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    If P equals NP, factoring a natural number would be no more difficult ...80%Verifying a factorization is a polynomial-time task75%If FACTORIZATION is not in P, it is not feasibly decidable.74%It is not known whether NP is contained in BPP72%

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    It is thus also reasonable to ask how we might modify the definition of \(\mathfrak{N}\) so as to obtain a characterization of probabilistic algorithms which we might usefully employ. [33] This class can be most readily defined relative to a model of computation known as the probabilistic Turing machine \(\mathfrak{C}\). Such a device \(C\) has access to a random number generator which produces a new bit at each step in its computation but is otherwise like a conventional Turing machine. The act

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