A091800 Largest n-digit number with maximal number of distinct prime divisors.

6, 90, 990, 9870, 99330, 930930, 9699690, 99981420, 999068070, 9592993410, 99978788910, 999890501610, 9814524629910

Offset

1,1

Links

Table of n, a(n) for n=1..13.

Mathematica

a[n_] := Module[{k=0, p=1, r=1, t=10^n}, While[r < t, p = NextPrime[p]; r *= p; k++]; k--; m = t-1; While[PrimeNu[m] != k, m--]; m]; Array[a, 8] (* Amiram Eldar, Mar 03 2020 *)

Crossrefs

Cf. A000005, A002182, A002183, A066151, A074111.

Sequence in context: A177283 A121607 A100594 * A336042 A353230 A317487

Adjacent sequences: A091797 A091798 A091799 * A091801 A091802 A091803

Keyword

nonn,base,more

Author

Amarnath Murthy, Feb 21 2004

Extensions

Edited, corrected and extended by Ray Chandler, Feb 23 2004

a(10)-a(12) from Amiram Eldar, Mar 03 2020

a(13) from Giovanni Resta, Mar 04 2020

Status

approved