A133833 Smallest and largest primes with number of decimal digits equal to n-th prime.

11, 97, 101, 997, 10007, 99991, 1000003, 9999991, 10000000019, 99999999977, 1000000000039, 9999999999971, 10000000000000061, 99999999999999997, 1000000000000000003, 9999999999999999961

Offset

1,1

Links

Table of n, a(n) for n=1..16.

Example

11, 97 are respectively the smallest and the largest 2-digit primes.
101, 997 are respectively the smallest and the largest 3-digit primes.
10007, 99991 are respectively the smallest and the largest 5-digit primes.

Mathematica

Table[{NextPrime[10^(n-1)], NextPrime[10^n, -1]}, {n, Prime[Range[8]]}] // Flatten (* Harvey P. Dale, Nov 21 2018 *)

Crossrefs

Cf. A000040, A064490.

Sequence in context: A115351 A154997 A137017 * A142260 A389264 A016140

Adjacent sequences: A133830 A133831 A133832 * A133834 A133835 A133836

Keyword

nonn,base

Author

Parthasarathy Nambi, Jan 06 2008

Extensions

More terms from Harvey P. Dale, Nov 21 2018

Status

approved