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%I #8 Mar 20 2015 23:21:39
%S 2,7,5,17,71,23,2,53,151,191,181,61,47,61,163,373,23,29,179,167,353,
%T 691,37,7,79,43,7,73,683,757,1259,433,113,1523,643,19,73,383,1907,89,
%U 2423,457,223,2713,71,3253,191,17,1069,353,1481,1433,787,1009,1753,557,3001
%N Least prime such that the n-th partial concatenation is a multiple of the n-th prime.
%C In the first 750 terms, the primes 3,11,41,59,83,97,101,109,131,149,157,173,193,197,211,227, ..., have not appeared. - _Robert G. Wilson v_
%e 2 divides 2, 3 divides 27, 5 divides 275.
%t a[n_] := a[n] = Block[{q = Flatten[IntegerDigits /@ Table[a[i], {i, n - 1}]], p = Prime[n], k = 1}, While[Mod[FromDigits@Join[q, IntegerDigits@Prime@k], p] != 0, k++ ]; Prime[k]]; Array[a, 57] (* _Robert G. Wilson v_ *)
%Y See A133566 for another version.
%Y Cf. A100759, A095242, A114026.
%K base,nonn
%O 1,1
%A _Amarnath Murthy_, Nov 13 2005
%E More terms from _Robert G. Wilson v_, Nov 19 2005
%E Definition corrected by _David Wasserman_, Mar 04 2008
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