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%I #10 Dec 05 2013 19:57:14
%S 13,233,0,12343,345673,0,5678910113,54555657585960613,0,
%T 373839404142434445463,17181920212223242526273,0,2345678910111213143,
%U 23242526272829303132333435363,0,8910111213141516171819202122233
%N Smallest prime of the form: n successive positive integers in ascending order followed by a 3. a(3k) = 0 as no such prime exists.
%e a(4) = 12343, four successive positive integers 1,2,3,4 in ascending order followed by a 3.
%t a[n_]:=If[Mod[n, 3]==0, 0, (For[m=1, (v={};Do[v=Join[v, IntegerDigits[k]], {k, m, m+n-1}]);!PrimeQ[10FromDigits[v]+3], m++ ];10FromDigits[v]+3)];Table[a[n], {n, 17}] - Farideh Firoozbakht
%t f[n_] := Block[{t = Range@n}, If[ Mod[n, 3] == 0, 0, While[p = FromDigits@Flatten@IntegerDigits@Join[t, {3}]; !PrimeQ@p, t++ ]; p]]; Array[f, 20] (* _Robert G. Wilson v_ *)
%Y Cf. A114754, A114756, A114757, A114758, A114759, A112716, A108145.
%K base,nonn
%O 1,1
%A _Amarnath Murthy_, Jan 01 2006
%E Extended by _Robert G. Wilson v_, _Ray Chandler_ and _Farideh Firoozbakht_, Jan 02 2006
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