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A093780 a(n) is the smallest prime used as initial value for Euclid-Mullin (EM) sequence (of variant A000945), such that in the corresponding EM-sequence the p=3 prime arises at the n-th position.

%I A093780 #10 Mar 13 2015 23:06:55
%S A093780 3,2,7,5,59,479,821,1871,17393,43019,284783,1572149,2737793,32938853,
%T A093780 24254639
%N A093780 a(n) is the smallest prime used as initial value for Euclid-Mullin (EM) sequence (of variant A000945), such that in the corresponding EM-sequence the p=3 prime arises at the n-th position.
%e A093780 p=3 arises first as n-th term for n=1,2,3,4,...,9th as follows:
%e A093780 {3,2,7,43,13,53,5},{2,3,7,43,13,53,5},{7,2,3,43,13,53,5},
%e A093780 {5,2,11,3,331,19},{269,2,7,3767,3,42559567},{479,2,7,19,5,3},
%e A093780 {821,2,31,109,7,509,3},{1871,2,19,7,37,13,23,3},
%e A093780 {17393,2,43,37,7,4129,13,5,3},
%Y A093780 Cf. A000945, A051308-A051334, A056756, A093777-A093779.
%K A093780 more,nonn
%O A093780 1,1
%A A093780 _Labos Elemer_, May 03 2004
%E A093780 More terms from _David Wasserman_, Apr 12 2007