20150216, 21:18  #1 
"Daniel Jackson"
May 2011
14285714285714285714
701 Posts 
Panfigural primes
A "panfigural" prime in baseb 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 baseb pan(2)=101_{2}=5_{10} pan(3)=102_{3}=11_{10} pan(4)=10123_{4}=283_{10} pan(5)=101234_{5}=3319_{10} pan(6)=1013425_{6}=48761_{10} pan(7)=10223465_{7}=863231_{10} pan(8)=101234567_{8}=17119607_{10} pan(9)=1012346785_{9}=393474749_{10} pan(10)=10123457689_{10} (the smallest pandigital prime) Find the smallest panfigural primes for bases 1194. Figures for said bases are below: Code:
0 1 2 3 4 5 6 7 8 9 0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123 0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz`~!@#$%^&*()_=+[]{}\;:,.<>/?'" Last fiddled with by Stargate38 on 20150216 at 21:19 
20150216, 23:10  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
9,829 Posts 

20150217, 00:00  #3 
"Daniel Jackson"
May 2011
14285714285714285714
701_{10} 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 20150217 at 00:02 
20150217, 05:38  #4 
Aug 2006
13533_{8} Posts 

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