

A079206


Numbers n in which the first K digits of n form an integer divisible by the Kth prime, for K = 1, 2, ..., M, where M is the number of digits in n.


4



2, 4, 6, 8, 21, 24, 27, 42, 45, 48, 60, 63, 66, 69, 81, 84, 87, 210, 215, 240, 245, 270, 275, 420, 425, 450, 455, 480, 485, 600, 605, 630, 635, 660, 665, 690, 695, 810, 815, 840, 845, 870, 875, 2100, 2107, 2156, 2401, 2408, 2450, 2457, 2702, 2709, 2751, 2758
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OFFSET

1,1


COMMENTS

There are 200 terms in the sequence and 10digit number 8757193191 is the largest number to satisfy the requirements.  Shyam Sunder Gupta, Aug 04 2013


LINKS

Shyam Sunder Gupta, Table of n, a(n) for n = 1..200
Divisible by Primes (missing)


EXAMPLE

a(88)=21076 because 2 is divisible by the first prime 2, 21 by the second prime 3, 210 by the third prime 5, 2107 by the fourth prime 7, 21076 by the fifth prime 11.


MATHEMATICA

a = Table[j, {j, 2, 8, 2}]; r = 2; t = a; While[! a == {}, n = Length[a]; k = 1; b = {}; While[! k > n, z0 = a[[k]]; Do[z = 10*z0 + j; If[Mod[z, Prime[r]] == 0, b = Append[b, z]; t = Append[t, z]], {j, 0, 9}]; k++]; a = b; r++]; t (* Shyam Sunder Gupta, Aug 04 2013 *)


CROSSREFS

Sequence in context: A131122 A119261 A062285 * A265342 A230105 A045926
Adjacent sequences: A079203 A079204 A079205 * A079207 A079208 A079209


KEYWORD

base,fini,full,nonn


AUTHOR

Sudipta Das (juitech(AT)vsnl.net), Feb 03 2003


STATUS

approved



