A068173 Define an increasing sequence as follows. Given the first term called the seed (the seed need not have the property of the sequence.). Subsequent terms are defined as obtained by inserting/placing digits (at least one) in the previous term to obtain the smallest number with a given property. This is the growing prime sequence for the seed a(1) = 8.

8, 83, 283, 1283, 12583, 112583, 1102583, 11002583, 110025803, 1010025803, 10100258303, 101002258303, 1010022508303, 10100225080303, 101002250803093, 1010022508030793, 10100225080303793, 101002250803030793, 1010022508030305793, 10100224508030305793

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..300

Example

The primes obtained by inserting/placing a digit in a(2) = 89 are 389, 809, etc...a(3) = 389 is the smallest.

Crossrefs

Cf. A068166, A068167, A068169, A068170, A068171, A068172.

Sequence in context: A241708 A317119 A285455 * A069635 A069620 A196482

Adjacent sequences: A068170 A068171 A068172 * A068174 A068175 A068176

Keyword

base,nonn

Author

Amarnath Murthy, Feb 25 2002

Extensions

Corrected and extended by Robert Gerbicz, Sep 06 2002

Status

approved