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 A079206 Numbers n in which the first K digits of n form an integer divisible by the K-th 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS There are 200 terms in the sequence and 10-digit 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

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Last modified May 23 12:38 EDT 2019. Contains 323514 sequences. (Running on oeis4.)