A157033 Smallest prime with 2^n digits.
2, 11, 1009, 10000019, 1000000000000037, 10000000000000000000000000000033, 1000000000000000000000000000000000000000000000000000000000000121
Offset: 0
Programs
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Mathematica
f[n_] := NextPrime[10^(2^n - 1)]; Table[f@n, {n, 0, 7}] (* Robert G. Wilson v, Mar 17 2009 *)