

A336064


Numbers divisible by the maximal exponent in their prime factorization (A051903).


3



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, 41, 42, 43, 44, 46, 47, 48, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79
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OFFSET

1,1


COMMENTS

The asymptotic density of this sequence is A336065 = 0.848957... (Schinzel and Šalát, 1994).


REFERENCES

József Sándor and Borislav Crstici, Handbook of Number theory II, Kluwer Academic Publishers, 2004, chapter 3, p. 331.


LINKS



EXAMPLE

4 = 2^2 is a term since A051903(4) = 2 is a divisor of 4.


MATHEMATICA

H[1] = 0; H[n_] := Max[FactorInteger[n][[;; , 2]]]; Select[Range[2, 100], Divisible[#, H[#]] &]


PROG

(PARI) isok(m) = if (m>1, (m % vecmax(factor(m)[, 2])) == 0); \\ Michel Marcus, Jul 08 2020


CROSSREFS

A005117 (except for 1) is subsequence.


KEYWORD

nonn


AUTHOR



STATUS

approved



