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