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a(n) = the first prime yielding the record value A101116(n).
3

%I #10 Jul 26 2024 12:45:07

%S 2,3,7,73,13799,600307,77197951,4866134641,36052921903

%N a(n) = the first prime yielding the record value A101116(n).

%e a(6) = 600307 because 600307 is the first prime to which A101116(6) digits (18) can be prepended yielding a new prime each time (giving preference to the smallest digit which meets the requirement) - 600307, 3600307, 93600307, ..., 9912733515196363393600307.

%o (Python)

%o g = agen() # uses agen() and imports from A101116

%o print([next(g)[1] for n in range(1, 7)]) # _Michael S. Branicky_, Jun 24 2022

%Y Cf. A053583, A024785, A000040, A101115, A101116, A101118.

%K base,more,nonn

%O 1,1

%A Chuck Seggelin (seqfan(AT)plastereddragon.com), Dec 02 2004

%E a(7)-a(8) from _Michael S. Branicky_, Jun 24 2022

%E a(9) from _Michael S. Branicky_, Jul 26 2024