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A065849 Let u be any string of n digits from {0,...,7}; let f(u) = number of distinct primes, not beginning with 0, formed by permuting the digits of u; then a(n) = max_u f(u). 10
1, 2, 3, 11, 23, 113, 425, 1912, 11872, 57918, 303157, 1757094 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..12.

EXAMPLE

a(2)=2 because 15 and 51 (written in base 8) are primes (13 and 41).

a(3)=3 because 531, 351 and 513 (in base 8) are primes (107, 233, 331), or 145, 415 and 541 (in base 8) are primes (101, 269, 353), or 147, 417 and 471 are primes (103, 271, 313) etc. R. J. Mathar, Apr 23 2016

MATHEMATICA

c[x_] := Module[{},

   Length[Select[Permutations[x],

     First[#] != 0 && PrimeQ[FromDigits[#, 8]] &]]];

A065849[n_] := Module[{i},

   Return[Max[Map[c, DeleteDuplicatesBy[Tuples[Range[0, 7], n],

       Table[Count[#, i], {i, 0, 7}] &]]]]];

Table[A065849[n], {n, 1, 7}] (* Robert Price, Mar 30 2019 *)

CROSSREFS

Cf. A065843, A065844, A065845, A065846, A065847, A065848, A065850, A065851, A065852, A065853

Sequence in context: A074496 A292817 A292112 * A136402 A137811 A041955

Adjacent sequences:  A065846 A065847 A065848 * A065850 A065851 A065852

KEYWORD

base,more,nonn

AUTHOR

Sascha Kurz, Nov 24 2001

EXTENSIONS

2 more terms from Sean A. Irvine, Sep 06 2009

Definition corrected by David A. Corneth, Apr 23 2016

STATUS

approved

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Last modified May 28 09:09 EDT 2022. Contains 354112 sequences. (Running on oeis4.)