A069100 n-th n-digit prime number.

2, 13, 107, 1021, 10061, 100069, 1000117, 10000189, 100000193, 1000000181, 10000000259, 100000000193, 1000000000303, 10000000000411, 100000000000487, 1000000000000513, 10000000000000931, 100000000000000591, 1000000000000000861, 10000000000000000667

Offset: 1

Author

Darrell Minor, Apr 05 2002

Keywords

• nonn
• base

Links

• Eduard Roure Perdices, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A003617, A107108, A107109.

Programs

Mathematica

a[n_] := NextPrime[10^(n - 1), n]; (* Eduard Roure Perdices, May 17 2021 *)

PARI

a(n)=prime(primepi(10^(n-1))+n) \\ Franklin T. Adams-Watters, Mar 07 2014

Python

from sympy import nextprime
def a(n):  return nextprime(10**(n-1), ith=n)
print([a(n) for n in range(1, 21)]) # Michael S. Branicky, Jun 16 2021

Extensions

More terms from Vladeta Jovovic, Apr 07 2002

Extended by Eduard Roure Perdices, May 17 2021