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A357687
Nonsquarefree numbers k such that A048250(k) > 2*k.
0
401120980260, 14841476269620, 16445960190660, 17248202151180, 18852686072220, 608500527054420, 638183479593660, 697549384672140, 707176288198380, 772960128961020, 810665501105460, 26165522663340060, 28599524771557740, 29994623540902020, 33237285545323860, 1229779565176982820
OFFSET
1,1
COMMENTS
The squarefree numbers k such that A048250(k) > 2*k are the squarefree abundant numbers (A087248).
The least odd term is 3*prime(553)#/2 = 3.735...*10^1709.
MATHEMATICA
q[n_] := Module[{f = FactorInteger[n]}, AnyTrue[f[[;; , 2]], # > 1 &] && Times @@ (f[[;; , 1]]+1) > 2*n];
PROG
(PARI) is(n) = {my(f = factor(n)); if(n == 1 || vecmax(f[, 2]) == 1, return(0)); prod(i=1, #f~, f[i, 1]+1) > 2*n};
CROSSREFS
Subsequence of A005101 and A013929.
Sequence in context: A080122 A269417 A281963 * A363799 A082411 A113952
KEYWORD
nonn
AUTHOR
Amiram Eldar, Oct 09 2022
STATUS
approved