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A075002 Smallest k such that concatenation 1 to k is divisible by n; or 0 if no such number exists. +0
1
1, 2, 2, 2, 5, 2, 11, 6, 8, 10, 106, 2, 11, 22, 5, 6, 21, 8, 27, 20, 11, 106, 33, 6, 25, 30, 26, 24, 31, 20, 46, 6, 113, 64, 45, 36, 21, 64, 11, 20, 3, 24, 19, 128, 35, 68, 8, 6, 53, 50, 21, 120, 83, 26, 135, 128, 27, 82, 104, 20 (list; graph; listen)
OFFSET

1,2

COMMENT

Conjecture: For every n there exists a nonzero k such that a(n) = k.

EXAMPLE

a(4)= 2 as 12 is divisible by 4. a(7) = 11 as 7 divides 1234567891011 and 7 does not divide any smaller concatenations.

CROSSREFS

Sequence in context: A029662 A077913 A069862 this_sequence A061311 A115253 A076737

Adjacent sequences: A074999 A075000 A075001 this_sequence A075003 A075004 A075005

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 01 2002

EXTENSIONS

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 19 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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