[seqfan] definition of pandigital numbers & related issues

Maximilian Hasler maximilian.hasler at gmail.com
Thu May 27 19:35:51 CEST 2010

Dear SeqFans,


Pandigital numbers: numbers containing the digits 0-9.

has the keyword "fini", corresponding (probably) to the more precise definition
"numbers containing each of the digits 0-9 exactly once."

However, most(?) other instances of "pandigital" in OEIS do not imply
this additional restrictions.
In particular, the xref'd
A050288  	 	 Pandigital primes.
would not be possible (*), and the sequence's author's "own" page
does not necessarily include this restriction in the definition.
A050290  	 	 Zeroless pandigital primes,
from the same author, does not use this restriction.

So I think the simplest solution would be to remove the kw "fini".
But I just submit this idea for consideration, don't want to decide
anything about this issue.

(*) in view of A. Del Arte's post from March and his page
one might add "decimal" or "base 10", when this is meant but not made
explicit, as in A050288.

A140532  	 	 a(n) = number of n-digit pandigital primes.
seems to use still another definition of "pandigital" ---
another term should be found for this, it (probably(?)) refers to
A029743  	 	 Primes with distinct digits.
complement of
A073064  	 	 Primes with non-distinct digits. ).
(and in the example for A140532, "+" could be replaced by ",")

Related issue:

A159474  	 	 Pandigital primes with least digit sum (46) starting with
the largest and listed in descending order.

seems incorrect to me ; unless I oversee something, these can be
arbitrarily large ; e.g.
908765421103, 9087065421103, 9087060504021103 ... are also in this
sequence and larger that the current a(1).


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