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A215927
Primes having at least one digit that is not prime.
1
11, 13, 17, 19, 29, 31, 41, 43, 47, 59, 61, 67, 71, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 229, 239, 241, 251, 263, 269, 271, 281, 283, 293, 307, 311, 313, 317, 331, 347
OFFSET
1,1
COMMENTS
Complement of A019546 within the primes A000040.
EXAMPLE
19 is in the sequence because neither of its two digits is prime, 1 being a unit and 9 being the square of 3.
23 is not in the sequence because both 2 and 3 are prime.
29 is in the sequence because 9 is not prime (though 2 is).
MATHEMATICA
Select[Prime[Range[100]], Complement[IntegerDigits[#], {2, 3, 5, 7}] != {} &] (* Alonso del Arte, Aug 27 2012 *)
PROG
(PARI) is_A215927(n)=isprime(n)&apply(x->!isprime(x), eval(Vec(Str(n)))) \\ - M. F. Hasler, Aug 27 2012
(Magma) [p: p in PrimesUpTo(500) | not Set(Intseq(p)) subset [2, 3, 5, 7]]; // Vincenzo Librandi Oct 25 2016
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Luca Brigada Villa, Aug 27 2012
EXTENSIONS
a(55) corrected by Vincenzo Librandi, Oct 25 2016
STATUS
approved