

A068172


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) = 7.


2



7, 17, 107, 1087, 10487, 104087, 1024087, 10024087, 100024087, 1000124087, 10001240087, 100012400837, 1000124008327, 10000124008327, 100001124008327, 1000011224008327, 10000110224008327, 100001100224008327, 1000010100224008327, 10000101002240083271, 100001010022400283271, 1000010100221400283271
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..22.


EXAMPLE

The primes obtained by inserting/placing a digit in a(2) = 17 are 107,127, 137, etc...a(3)= 107 is the smallest.


CROSSREFS

Cf. A068166, A068167, A068169, A068170, A068171.
Sequence in context: A092340 A181605 A284209 * A067185 A205989 A262474
Adjacent sequences: A068169 A068170 A068171 * A068173 A068174 A068175


KEYWORD

base,nonn


AUTHOR

Amarnath Murthy, Feb 25 2002


EXTENSIONS

More terms from Robert Gerbicz, Sep 06 2002


STATUS

approved



