A070843 Largest n-digit number with exactly n distinct prime divisors. There are no further terms.

9, 99, 996, 9996, 99990, 999570, 9999990, 99981420, 999068070, 9592993410

Offset: 1

Author

Amarnath Murthy, May 12 2002

Keywords

• base
• nonn
• fini
• full

Comments

Primes counted without multiplicity. - Harvey P. Dale, Sep 30 2021

Examples

			a(4) = 9996 with the prime divisors 2,3,7 and 17.
		

Crossrefs

Cf. A070842.

Programs

Mathematica

Do[k = 10^n - 1; While[Length[FactorInteger[k]] != n, k-- ]; Print[k], {n, 1, 10}] (* Ryan Propper, Nov 05 2005 *)
lnpd[n_]:=Module[{k=10^n-1},While[PrimeNu[k]!=n,k--];k]; Array[lnpd,10] (* Harvey P. Dale, Sep 30 2021 *)

Extensions

More terms from Rick L. Shepherd, May 14 2002

a(10) from Ryan Propper, Nov 05 2005

Edited by Ray Chandler, Feb 15 2009

Definition clarified by Harvey P. Dale, Sep 30 2021