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A243355
Numbers n such that n and prime(n) have no common digits.
3
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 35, 36, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 57, 58, 59, 60, 61, 64, 65, 66, 67, 68, 69, 70, 71, 72, 76, 77, 79, 85, 86, 87, 88, 89, 90, 91, 93, 96, 98, 99, 101
OFFSET
1,2
LINKS
EXAMPLE
98 is in the sequence because prime(98) = 521, which has no digits in common with 98.
MATHEMATICA
Select[Range[110], Intersection[IntegerDigits[#], IntegerDigits[Prime[#]]]=={}&] (* Harvey P. Dale, Aug 11 2023 *)
PROG
(PARI) s=[]; for(n=1, 300, if(setintersect(vecsort(digits(n), , 8), vecsort(digits(prime(n)), , 8))==[], s=concat(s, n))); s
(Haskell)
import Data.List (intersect)
a243355 n = a243355_list !! (n-1)
a243355_list = filter
(\x -> null $ show x `intersect` (show $ a000040 x)) [1..]
-- Reinhard Zumkeller, Sep 14 2014
CROSSREFS
Cf. A000040, A074350, A119393 (complement).
Sequence in context: A305759 A143513 A062849 * A233461 A010432 A187041
KEYWORD
nonn,base,less
AUTHOR
Colin Barker, Jun 03 2014
STATUS
approved