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 A114783 Smallest prime of the form: all ones followed by prime(n). a(n) >prime(n). 0 if no such prime exists. 4

%I

%S 0,13,0,17,1111111111111111111,113,1117,11119,1123,1129,131,137,

%T 11111141,111143,11111111111111111111111111111147,1153,11159,11161,

%U 167,1171,173,179,1111183,1111189,197,11111101,1103,11111111111111107,1109

%N Smallest prime of the form: all ones followed by prime(n). a(n) >prime(n). 0 if no such prime exists.

%C Prime(n) is all zeros followed by prime(n). This is all ones followed by prime(n). Conjecture: No term is zero except a(1) = a(3) = 0.

%e a(7) = 1117, as 117 is composite prime(8) = 17.

%t spf[n_]:=Module[{x=IntegerLength[n]+1,idn=IntegerDigits[n]}, While[ !PrimeQ[ FromDigits[ PadLeft[ idn,x,1]]],x++]; FromDigits[ PadLeft[ idn,x,1]]]; Join[{0,13,0},spf/@Prime[Range[4,30]]] (* _Harvey P. Dale_, May 22 2014 *)

%Y Cf. A114784.

%K base,nonn

%O 1,2

%A _Amarnath Murthy_, Nov 17 2005

%E More terms from _Joshua Zucker_, May 06 2006

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Last modified June 26 00:12 EDT 2022. Contains 354870 sequences. (Running on oeis4.)