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

Offset

1,1

Links

Table of n, a(n) for n=1..8.

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

Status

approved