mersenneforum.org Panfigural primes
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 2015-02-16, 21:18 #1 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 2BD16 Posts 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
2015-02-16, 23:10   #2
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

9,829 Posts

Quote:
 Originally Posted by Stargate38 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?

 2015-02-17, 00:00 #3 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 701 Posts 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
 2015-02-17, 05:38 #4 CRGreathouse     Aug 2006 3·1,993 Posts The first 100 are here https://oeis.org/A185122 due to Per H. Lundow.

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