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Primes of form 6k+1 that use only digits 2 and 3.
1

%I #5 Aug 16 2024 19:31:52

%S 223,32233,32323,33223,232333,233323,323233,2332333,2333323,3222223,

%T 3223333,3233323,3332233,22223323,22232233,22232323,23222233,23223223,

%U 23322223,32322223,33222223,223323223,223333333,232232233,232233223

%N Primes of form 6k+1 that use only digits 2 and 3.

%C Corresponding values of k: 37,5372,5387,5537,38722,38887,53872,388722,388887 (A153166).

%t Select[Flatten[Table[FromDigits/@Tuples[{2,3},n],{n,9}]],PrimeQ[#]&&Mod[#,6]==1&] (* _Harvey P. Dale_, Aug 16 2024 *)

%Y Cf. A152834 Numbers of form 6k+1 that use only digits 2 and 3.

%K nonn,base

%O 1,1

%A _Zak Seidov_, Dec 20 2008