A068171 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) = 6.

6, 61, 461, 3461, 33461, 332461, 3132461, 31320461, 313204061, 3130204061, 23130204061, 231302004061, 2131302004061, 21313020024061, 213130200240161, 2131230200240161, 12131230200240161, 121312302002401613, 1210312302002401613, 12103123020020401613, 121031230200203401613, 1210312300200203401613

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) = 61 are 461, 619, 641, etc...a(3) = 461 is the smallest.

Crossrefs

Cf. A068166, A068167, A068169, A068170.

Sequence in context: A055331 A024523 A252873 * A069633 A069618 A155458

Adjacent sequences: A068168 A068169 A068170 * A068172 A068173 A068174

Keyword

base,nonn

Author

Amarnath Murthy, Feb 25 2002

Extensions

More terms from Robert Gerbicz, Sep 06 2002

Definition edited by Harvey P. Dale, Feb 28 2023

Status

approved