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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.
5
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
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
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