A107931 Numbers n such that n and n-th prime have only one common digit = 0.

80, 140, 305, 306, 308, 409, 440, 504, 540, 600, 670, 704, 790, 807, 820, 902, 904, 906, 1011, 1012, 1013, 1014, 1016, 1017, 1072, 1096, 2002, 2025, 2033, 2043, 2052, 2065, 2066, 2067, 2070, 2073, 2097

Offset

1,1

Comments

Other cases of common digit d: A107932 (d=1), A107933 (d=2), A107934 (d=3), A107935 (d=4), A107936 (d=5), A107937 (d=6), A107938 (d=7), A107939 (d=8), A107940 (d=9). Cf. A107930 - smallest m's for digits 0,...,9.

Links

Table of n, a(n) for n=1..37.

Example

a(1)=80 because 80th prime, 409 and 80 have the only common digit = 0 and 80 is the smallest such a number.

Mathematica

bb={}; Do[If[IntegerDigits [n]\[Intersection]IntegerDigits [Prime[n]]\[Equal]{0}, bb=Append[bb, n]], {n, 3000}]; bb
Select[Range[2200], Intersection[IntegerDigits[#], IntegerDigits[ Prime[#]]] == {0}&] (* Harvey P. Dale, Dec 18 2013 *)

Crossrefs

Cf. A107930 - A107940.

Sequence in context: A202447 A202440 A248432 * A234134 A134769 A376909

Adjacent sequences: A107928 A107929 A107930 * A107932 A107933 A107934

Keyword

nonn,base

Author

Zak Seidov, May 28 2005

Status

approved