A101118 a(n) = the resulting prime generated when the process described in A101115 is applied to A101117(n).

2, 612113, 5372126317, 4818372912366173, 21291981879276213799, 912733515196363393600307, 668334992181698187977197951, 231879245133561335194866134641, 933651219687395363156136052921903

Offset

1,1

Links

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

Example

a(3) = 5372126317 because 5372126317 is the last prime that can be generated by successively prepending nonzero digits to A101117(3). A101117(3) is 7. A101116(3) indicates that 9 digits can be successively prepended to 7 generating a new prime each time. Doing so and giving preference to the smallest digit which meets the requirement, generates the following primes: 17, 317, 6317, 26317, 126317, 2126317, 72126317, 372126317, 5372126317.

Prog

(Python)
g = agen() # uses agen() and imports from A101116
print([next(g)[2] for n in range(1, 7)]) # Michael S. Branicky, Jun 24 2022

Crossrefs

Cf. A053583, A024785, A000040, A101115, A101116, A101117.

Sequence in context: A072321 A237191 A367823 * A331870 A371642 A162927

Adjacent sequences: A101115 A101116 A101117 * A101119 A101120 A101121

Keyword

base,more,nonn

Author

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

Extensions

a(7)-a(8) and typo corrected in a(6) from Michael S. Branicky, Jun 24 2022

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

Status

approved