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Primes that contain digits 1 and 6 only.
7

%I #14 Sep 08 2022 08:44:45

%S 11,61,661,6661,11161,16111,16661,66161,111611,161611,611111,616111,

%T 1111661,1611161,1616161,1616611,1661111,1661161,1666111,6111661,

%U 6116111,6116161,6161161,6611611,6661111,6661661,11111161,11166611,11616611

%N Primes that contain digits 1 and 6 only.

%H Vincenzo Librandi, <a href="/A020454/b020454.txt">Table of n, a(n) for n = 1..1000</a>

%t Flatten[Table[Select[FromDigits/@Tuples[{1,6},n],PrimeQ],{n,8}]] (* _Vincenzo Librandi_, Jul 27 2012 *)

%t Select[Flatten[Table[10*FromDigits/@Tuples[{1,6},n]+1,{n,7}]],PrimeQ] (* Slightly faster than the above Mathematica program by forcing the last digit to be one. *) (* _Harvey P. Dale_, May 31 2018 *)

%o (Magma) [p: p in PrimesUpTo(11616611) | Set(Intseq(p)) subset [1, 6]]; // _Vincenzo Librandi_, Jul 27 2012. (see Berselli A020461).

%K nonn,base

%O 1,1

%A _David W. Wilson_