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Old 2015-02-16, 21:18   #1
Stargate38
 
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Default Panfigural primes

A "panfigural" prime in base-b is, like pandigital primes, a prime that uses all the possible figures of said base at least once. For example:

pan(b)=smallest panfigural prime in base-b

pan(2)=1012=510
pan(3)=1023=1110
pan(4)=101234=28310
pan(5)=1012345=331910
pan(6)=10134256=4876110
pan(7)=102234657=86323110
pan(8)=1012345678=1711960710
pan(9)=10123467859=39347474910
pan(10)=1012345768910 (the smallest pandigital prime)

Find the smallest panfigural primes for bases 11-94. Figures for said bases are below:

Code:
0         1         2         3         4         5         6         7         8         9
0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123
0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz`~!@#$%^&*()-_=+[]{}\|;:,.<>/?'"
Also, What's the easiest way to do this?

Last fiddled with by Stargate38 on 2015-02-16 at 21:19
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Old 2015-02-16, 23:10   #2
Batalov
 
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Default

Quote:
Originally Posted by Stargate38 View Post
A "panfigural" prime in base-b is, like pandigital primes, a prime that uses all the possible figures of said base at least once. For example:

pan(b)=smallest panfigural prime in base-b

pan(2)=1012=510
...
pan(2)=102=210 rather?
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Old 2015-02-17, 00:00   #3
Stargate38
 
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Default Overlooked one

Oops! I went for b+1 figures, thinking that was the smallest possible size, and overlooked it.

Last fiddled with by Stargate38 on 2015-02-17 at 00:02
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Old 2015-02-17, 05:38   #4
CRGreathouse
 
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The first 100 are here
https://oeis.org/A185122
due to Per H. Lundow.
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