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 A327942 Numbers k such that both k and k+1 are nonunitary abundant numbers (A064597). 7
 165375, 893024, 1047375, 1576575, 2282175, 2304224, 2858624, 3614624, 4068224, 4096575, 4597424, 4975424, 6591375, 7574175, 8555624, 9511424, 10446975, 10749375, 10872224, 11477024, 12535424, 13773375, 13946624, 14277375, 15926624, 16041375, 16505775, 16769024 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 EXAMPLE 165375 is in the sequence since both 165375 and 165376 are nonunitary abundant: nusigma(165375) = 179280 > 165375, and nusigma(165376) = 183600 > 165376 (nusigma is the sum of nonunitary divisors, A048146). MATHEMATICA f[p_, e_] := (p^(e + 1) - 1)/(p - 1); nuabQ[n_] := Times @@ (f @@@ FactorInteger[n]) - Times @@ (1 + Power @@@ FactorInteger[n]) > n; s = {}; q1 = False; Do[q2 = nuabQ[n]; If[q1 && q2, AppendTo[s, n - 1]]; q1 = q2, {n, 2, 10^7}]; s CROSSREFS Cf. A048146, A064597, A094889, A307823. Cf. A096399, A292704, A318167, A327635. Sequence in context: A233701 A224582 A352974 * A201051 A233425 A183834 Adjacent sequences: A327939 A327940 A327941 * A327943 A327944 A327945 KEYWORD nonn AUTHOR Amiram Eldar, Sep 30 2019 STATUS approved

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Last modified July 12 21:16 EDT 2024. Contains 374257 sequences. (Running on oeis4.)