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 A336063 Numbers divisible by the minimal exponent in their prime factorization (A051904). 2
 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The asymptotic density of this sequence is 1 (Schinzel and Šalát, 1994). REFERENCES József Sándor and Borislav Crstici, Handbook of Number theory II, Kluwer Academic Publishers, 2004, chapter 3, p. 331. LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 Andrzej Schinzel and Tibor Šalát, Remarks on maximum and minimum exponents in factoring, Mathematica Slovaca, Vol. 44, No. 5 (1994), pp. 505-514. EXAMPLE 4 = 2^2 is a term since A051904(4) = 2 is a divisor of 4. MATHEMATICA h[1] = 0; h[n_] := Min[FactorInteger[n][[;; , 2]]]; Select[Range[2, 100], Divisible[#, h[#]] &] Select[Range[2, 100], Divisible[#, Min[FactorInteger[#][[All, 2]]]]&] (* Harvey P. Dale, Aug 31 2020 *) PROG (PARI) isok(m) = if (m>1, (m % vecmin(factor(m)[, 2])) == 0); \\ Michel Marcus, Jul 08 2020 CROSSREFS Cf. A051904, A124184. A005117 (except for 1) is subsequence. Similar sequences: A033950, A005349, A006446, A074946, A075592, A007694, A112249, A336064. Sequence in context: A001476 A031981 A279486 * A336064 A039269 A039207 Adjacent sequences: A336060 A336061 A336062 * A336064 A336065 A336066 KEYWORD nonn AUTHOR Amiram Eldar, Jul 07 2020 STATUS approved

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Last modified December 9 20:06 EST 2023. Contains 367693 sequences. (Running on oeis4.)