A133836 Largest prime with number of decimal digits equal to n-th prime.

97, 997, 99991, 9999991, 99999999977, 9999999999971, 99999999999999997, 9999999999999999961, 99999999999999999999977, 99999999999999999999999999973, 9999999999999999999999999999973

Offset: 1

Author

Parthasarathy Nambi, Jan 06 2008

Keywords

• nonn
• base

Examples

			97 is the largest prime with 2 digits.
997 is the largest prime with 3 digits.
99991 is the largest prime with 5 digits.
		

Crossrefs

Cf. A000040, A064490.

Programs

Maple

A003618 := proc(n) prevprime(10^n) ; end: A133836 := proc(n) A003618(ithprime(n)) ; end: for n from 1 to 13 do printf("%d,", A133836(n) ) ; od: # R. J. Mathar, Jan 30 2008

Formula

a(n)=A003618(A000040(n)). - R. J. Mathar, Jan 30 2008

Extensions

More terms from R. J. Mathar, Jan 30 2008