A068169 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) = 4.

4, 41, 241, 2141, 21341, 213461, 2123461, 21123461, 211234561, 2112343561, 21123043561, 211230043561, 2112030043561, 21112030043561, 211120030043561, 2110120030043561, 21101020030043561, 211010200230043561, 2110102002300430561, 21010102002300430561

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) = 41 are 241, 419, 421 etc... a(3)= 241 is the smallest.

Crossrefs

Cf. A068166, A068167, A068169.

Sequence in context: A296800 A273418 A273446 * A069631 A069616 A231653

Adjacent sequences: A068166 A068167 A068168 * A068170 A068171 A068172

Keyword

base,nonn

Author

Amarnath Murthy, Feb 25 2002

Extensions

Corrected and extended by Robert Gerbicz, Sep 06 2002

Status

approved