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A360979
Primes that share no digits with their digit sum.
1
11, 13, 17, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 113, 131, 151, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 277, 293, 311, 313, 331, 349, 353, 359, 383, 389, 401, 409, 421, 431, 433, 439, 443, 449, 457, 479, 487, 499, 503, 509, 521, 523
OFFSET
1,1
LINKS
EXAMPLE
a(5) = 29 is a term because 29 is prime and 2+9 = 11 shares no digits with 29.
MAPLE
filter:= proc(n) local L, s;
L:= convert(n, base, 10);
s:= convert(L, `+`);
convert(convert(s, base, 10), set) intersect convert(L, set) = {}
end proc:
select(filter, [seq(ithprime(i), i=1..1000)]);
MATHEMATICA
Select[Prime[Range[99]], !IntersectingQ[IntegerDigits[#], List[Total[IntegerDigits[#]]]]&] (* Stefano Spezia, Feb 28 2023 *)
PROG
(PARI) isok(p) = isprime(p) && !#setintersect(Set(digits(sumdigits(p))), Set(digits(p))); \\ Michel Marcus, Feb 27 2023
CROSSREFS
Primes not in A158473.
Sequence in context: A260715 A087681 A137669 * A152470 A191023 A078861
KEYWORD
nonn,base
AUTHOR
Robert Israel, Feb 27 2023
STATUS
approved