A166163 a(n) = the largest possible prime made by inserting either a 0 or a 1 anywhere in the binary representation of the n-th prime, then converting to decimal.

5, 7, 13, 13, 23, 29, 41, 43, 47, 61, 61, 101, 89, 107, 79, 109, 107, 109, 163, 199, 149, 157, 211, 181, 197, 229, 199, 211, 173, 241, 251, 263, 281, 331, 293, 311, 349, 419, 359, 349, 359, 373, 383, 449, 421, 397, 467, 479, 467, 461, 467, 479, 433, 503, 769

Offset

1,1

Comments

The inserted digit may be placed, as well as between any digits, right of the rightmost digit or immediately left of the leftmost 1. No 1 can be placed between any leading 0's. A 0 may be placed immediately left of the leftmost 1 if no other primes can be created otherwise.

Links

Table of n, a(n) for n=1..55.

Crossrefs

Sequence in context: A002659 A357938 A164122 * A249801 A318346 A342715

Adjacent sequences: A166160 A166161 A166162 * A166164 A166165 A166166

Keyword

base,nonn

Author

Leroy Quet, Oct 08 2009

Extensions

Extended by Ray Chandler, Oct 18 2009

Status

approved