A068170 Define an increasing sequence as follows. Given the first term, called the seed (the seed need not have the property of the remaining terms 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) = 5.

5, 53, 353, 3253, 30253, 130253, 1300253, 10300253, 100300253, 1003002053, 10030020503, 100300200503, 1003002050503, 10013002050503, 100130002050503, 1001300002050503, 10013000020503503, 100013000020503503, 1000130000205035083, 10001300002015035083

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) = 53 are 353, 523, ...; a(3) = 353 is the smallest.

Crossrefs

Cf. A068166, A068167, A068169.

Sequence in context: A216533 A152473 A242906 * A069632 A069617 A173879

Adjacent sequences: A068167 A068168 A068169 * A068171 A068172 A068173

Keyword

base,nonn

Author

Amarnath Murthy, Feb 25 2002

Extensions

Corrected and extended by Robert Gerbicz, Sep 06 2002

Status

approved