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A338943 a(n) is the least number k such that the average number of distinct prime divisors of {1..k} is >= n. 5
1, 6, 455, 8167302 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

10^18 < a(4) < 10^19. - Daniel Suteu, Nov 17 2020

LINKS

Table of n, a(n) for n=0..3.

Chris K. Caldwell and G. L. Honaker, Jr., Prime Curio for 455

Eric Weisstein's World of Mathematics, Distinct Prime Factors.

EXAMPLE

a(2) = 455 because the average number of distinct prime divisors of {1..455} is >= 2.

CROSSREFS

Cf. A001221, A013939, A085829, A328331, A338891.

Sequence in context: A187514 A258873 A244195 * A232593 A267082 A051735

Adjacent sequences:  A338940 A338941 A338942 * A338944 A338945 A338946

KEYWORD

nonn,more

AUTHOR

Ilya Gutkovskiy, Nov 17 2020

STATUS

approved

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Last modified August 10 16:24 EDT 2022. Contains 356039 sequences. (Running on oeis4.)