A101117 a(n) = the first prime yielding the record value A101116(n).

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

Offset

1,1

Links

Table of n, a(n) for n=1..9.

Example

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.

Prog

(Python)
g = agen() # uses agen() and imports from A101116
print([next(g)[1] for n in range(1, 7)]) # Michael S. Branicky, Jun 24 2022

Crossrefs

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

Sequence in context: A333132 A035094 A084729 * A065002 A288800 A247025

Adjacent sequences: A101114 A101115 A101116 * A101118 A101119 A101120

Keyword

base,more,nonn

Author

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

Extensions

a(7)-a(8) from Michael S. Branicky, Jun 24 2022

a(9) from Michael S. Branicky, Jul 26 2024

Status

approved