A338943 a(n) is the least number k such that the average number of distinct prime divisors of {1..k} is >= n.

1, 6, 455, 8167302

Offset: 0

Author

Ilya Gutkovskiy, Nov 17 2020

Keywords

• nonn
• more

Comments

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

Examples

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

Links

• Chris K. Caldwell and G. L. Honaker, Jr., Prime Curio for 455
• Eric Weisstein's World of Mathematics, Distinct Prime Factors.

Crossrefs

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