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 A175271 Base-8 pandigital primes 10
 17119607, 17120573, 17121077, 17127839, 17128931, 17132347, 17135413, 17136029, 17136869, 17148349, 17159479, 17164757, 17181683, 17184119, 17185463, 17185981, 17194171, 17196383, 17196733, 17200373, 17202347 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Base-8 pandigital primes must have at least 9 octal digits, since sum(d_i 8^i) = sum(d_i) (mod 7), and 0+1+...+6+7 is divisible by 7. So the smallest ones should be of the form "10123...." in base 8, where "...." is a permutation of "4567". By chance, the identical permutation already yields a prime: a(1)="101234567" in base-8. LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 Alonso Del Arte, Classifications of prime numbers - By representation in specific bases, OEIS Wiki as of Mar 19 2010. M. F. Hasler, Reply to A. Del Arte's post "Pandigital primes in bases 8,12,..." on the SeqFan list, Mar 19 2010. PROG (PARI) pdp( b=8/*base*/, c=199/* # of terms to produce */) = { my(t, a=[], bp=vector(b, i, b^(b-i))~, offset=b*(b^b-1)/(b-1)); for( i=1, b-1, offset+=b^b; for( j=0, b!-1, isprime(t=offset-numtoperm(b, j)*bp) | next; #(a=concat(a, t))

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Last modified July 20 03:40 EDT 2024. Contains 374441 sequences. (Running on oeis4.)