A persistent number, more precisely an -persistent number, is a positive
integer
for which each of ,
, ..., is a pandigital number,
containing all ten decimal digits, where is a positive integer.
No -persistent
numbers exist. However, the number is 2-persistent, since is a pandigital
number but
is not, and the number is 18-persistent. There exists at least
one -persistent
number for each positive integer.
The table lists exactly -persistent numbers, which are -persistent but not -persistent.
-persistent number, is a positive
integer 
for which each of 
,
, ..., 
is a pandigital number,
containing all ten decimal digits, where 
is a positive integer.
No 
-persistent
numbers exist. However, the number 
is 2-persistent, since 
is a pandigital
number but 
is not, and the number 
is 18-persistent. There exists at least
one 
-persistent
number for each positive integer 
.
-persistent numbers, which are 
-persistent but not 
-persistent.
-persistent