A157034 Shorthand for A157033, the smallest prime with 2^n digits.

1, 1, 9, 19, 37, 33, 121, 283, 37, 241, 3259, 2823, 67017, 13989, 9523, 34281, 159007

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = A157033(n) - 10^(2^n - 1).

Maple

a:= n-> (t-> nextprime(t)-t)(10^(2^n-1)):
seq(a(n), n=0..10);  # Alois P. Heinz, Mar 02 2022

Mathematica

f[n_] := NextPrime[ 10^(2^n-1)] - 10^(2^n-1); Table[ f@n, {n, 0, 12}] (* Robert G. Wilson v, Mar 17 2009 *)

Prog

(Python)
from sympy import nextprime
def A157034(n): return 1 if n == 0 else nextprime(10**(2**n-1))-10**(2**n-1) # Chai Wah Wu, Apr 16 2021

Crossrefs

Cf. A033873, A157033, A157036.

Sequence in context: A051811 A034056 A195042 * A198590 A297396 A145958

Adjacent sequences: A157031 A157032 A157033 * A157035 A157036 A157037

Keyword

nonn,base,more

Author

Lekraj Beedassy, Feb 22 2009

Extensions

a(8)-a(12) from Robert G. Wilson v, Mar 17 2009

a(13)-a(14) from Ray Chandler, Mar 22 2009

a(15) from Jinyuan Wang, Feb 24 2022

a(16) from Michael S. Branicky, Jun 18 2024

Status

approved