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added 80 characters in body

edited Feb 25, 2017 at 5:58

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Numerical results give random picture. If it is really the case then usual heuristic arguments confirm your conjecture.

ListPlot[Table[FractionalPart[Sqrt[PartitionsP[i]]], {i, 1, 5000}]]

answered Feb 25, 2017 at 5:51

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