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

Author

Amarnath Murthy, Feb 25 2002

Keywords

• base
• nonn

Examples

			The primes obtained by inserting/placing a digit in a(2) = 41 are 241, 419, 421 etc... a(3)= 241 is the smallest.
		

Links

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

Crossrefs

Cf. A068166, A068167, A068169.

Extensions

Corrected and extended by Robert Gerbicz, Sep 06 2002