A396106 n-th prime greater than 10^n.

11, 103, 1019, 10039, 100057, 1000099, 10000169, 100000127, 1000000123, 10000000207, 100000000183, 1000000000271, 10000000000391, 100000000000469, 1000000000000487, 10000000000000909, 100000000000000589, 1000000000000000841, 10000000000000000631, 100000000000000000763

Offset

1,1

Links

Michael S. Branicky, Table of n, a(n) for n = 1..999

Formula

a(n) = A151799(A069100(n+1)) for n > 1. - Michael S. Branicky, May 17 2026

Example

a(2) = 103 since 101 is the 1st and 103 is the 2nd prime > 100.

Mathematica

a[n_] := NextPrime[10^n, n]; Array[a, 20] (* Amiram Eldar, May 17 2026 *)

Prog

(Python)
from sympy import nextprime
def a(n): return nextprime(10**n, ith=n)
print([a(n) for n in range(1, 21)]) # Michael S. Branicky, May 17 2026

Crossrefs

Cf. A069100, A151799.

Sequence in context: A016133 A287833 A155594 * A077250 A356128 A173851

Adjacent sequences: A396102 A396104 A396105 * A396107 A396109 A396111

Keyword

nonn

Author

Daniel Sturm, May 17 2026

Extensions

a(8) onward from Michael S. Branicky, May 17 2026

Status

approved