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A152824 Numbers such that each digit leaves the same nonzero remainder when each is divided into the number. +0
4
223, 289, 337, 379, 433, 469, 477, 649, 673, 2227, 2233, 2263, 2269, 2323, 2437, 2449, 2623, 2629, 2773, 2833, 3223, 3277, 3349, 3433, 3493, 3889, 4249, 4333, 4393, 4429, 4633, 4873, 4933, 4969, 6223, 6229, 6433, 6637, 6679, 6763, 6949, 7267, 7477, 7939 (list; graph; listen)
OFFSET

1,1

LINKS

Joshua Zucker, Table of n, a(n) for n = 1..1543

EXAMPLE

289 == 1 (mod 2) == 1 (mod 8) == 1 (mod 9), so 289 is a member.

MATHEMATICA

fQ[n_] := Block[{a = Union@ Mod[n, IntegerDigits@n]}, a != {0} && Length@ a == 1]; Select[Range@ 4248, fQ@# &] (Robert G. Wilson v)

CROSSREFS

Sequence in context: A100607 A092623 A098591 this_sequence A142386 A102950 A143801

Adjacent sequences: A152821 A152822 A152823 this_sequence A152825 A152826 A152827

KEYWORD

nonn,base

AUTHOR

J. M. Bergot (thekingfishb(AT)yahoo.ca), Dec 13 2008

EXTENSIONS

Corrected and extended by Joshua Zucker and Robert G. Wilson v, Dec 14 2008

Corrected and extended by Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), Dec 14 2008

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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