A096497 - OEIS

%I #18 Aug 11 2023 10:59:07

%S 2,13,113,1117,11113,111119,1111151,11111117,111111113,1111111121,

%T 11111111113,111111111149,1111111111139,11111111111123,

%U 111111111111229,1111111111111123,11111111111111119,111111111111111131,1111111111111111171,11111111111111111131,111111111111111111157,1111111111111111111189

%N Prime following n-th repunit.

%C Not equal to A068693: first and 2nd terms differ.

%H Chai Wah Wu, <a href="/A096497/b096497.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A002275(n) + A096869(n) = A096498(n) + A096499(n).

%t Table[NextPrime[(10^n-1)/9], {n, 40}]

%t Table[NextPrime[FromDigits[PadRight[{},n,1]]],{n,30}] (* _Harvey P. Dale_, Aug 11 2023 *)

%o (PARI) a(n) = nextprime((10^n-1)/9 + 1); \\ _Michel Marcus_, May 02 2016

%o (Python)

%o from sympy import nextprime

%o def A096497(n):

%o     return nextprime((10**n-1)//9) # _Chai Wah Wu_, Nov 04 2019

%Y Cf. A068693, A002275.

%K nonn

%O 1,1

%A _Labos Elemer_, Jul 09 2004