A152852 Numbers with all different digits such that each digit leaves the same nonzero remainder when each is divided into the number.

289, 379, 386, 469, 649, 673, 674, 869, 938, 2437, 4873, 23689, 24697, 27469, 28369, 32689, 36289, 36794, 42673, 46873, 47629, 62497, 62749, 63289, 68329, 79634, 82369, 84673, 86329, 93746, 348769, 364897, 376489, 487369, 673849, 684937, 689473, 736849, 837649, 843697

Offset

1,1

Comments

Subsequence of A152824. The sequence contains exactly 40 terms.

Links

Table of n, a(n) for n=1..40.

Example

869 == 5 (mod 8) == 5 (mod 6) == 5 (mod 9).

Mathematica

Select[Range[845000], FreeQ[IntegerDigits[#], 0]&&Max[DigitCount[#]]==1&&Length[ Union[Mod[#, IntegerDigits[#]]]]==1&&Mod[#, IntegerDigits[#][[1]]]> 0&] (* Harvey P. Dale, Jun 28 2020 *)

Crossrefs

Cf. A152824.

Sequence in context: A229906 A008367 A287934 * A156572 A157990 A261111

Adjacent sequences: A152849 A152850 A152851 * A152853 A152854 A152855

Keyword

nonn,base,full,fini

Author

Pierre CAMI, Dec 14 2008

Extensions

a(5) corrected and all remaining terms provided by Jon E. Schoenfield and Zak Seidov, Dec 14 2008

Status

approved