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 A273402 Squarefree numbers n such that n is divisible by the product of digits of prime(n). 1
 5, 6, 7, 21, 30, 105, 190, 318, 462, 1974, 1995, 3390, 10546, 26886, 86618, 733533, 3624222, 6363183, 13767810, 17334030, 37290610, 56196114, 56196174, 56198055, 56225085, 56388130, 56676030, 60985974, 84686126 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..29. EXAMPLE 30 is in the sequence because 30 = 2*3*5 that is squarefree; prime(30) = 113; 1*1*3 = 3 that divides 30. 105 is in the sequence because 105 = 3*5*7 that is squarefree; prime(105) = 571; 5*7*1 = 35 that divides 105. MATHEMATICA A273402 = {}; Do[p = Prime[n]; k = Times @@ IntegerDigits[p]; If[k > 0 && Divisible[n, k] && SquareFreeQ[n], AppendTo[A273402, n]], {n, 1, 10^8}]; A273402 CROSSREFS Cf. A005117, A005349, A007602, A038186, A053666, A013929. Sequence in context: A078694 A221175 A048007 * A217295 A272676 A066876 Adjacent sequences: A273399 A273400 A273401 * A273403 A273404 A273405 KEYWORD nonn,base AUTHOR K. D. Bajpai, May 21 2016 STATUS approved

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Last modified September 13 17:58 EDT 2024. Contains 375910 sequences. (Running on oeis4.)