cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A062667 Every divisor (except 1) contains the digit 3.

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%I A062667 #15 Oct 04 2024 16:33:47
%S A062667 3,13,23,31,37,39,43,53,73,83,93,103,113,131,137,139,163,173,193,223,
%T A062667 233,239,263,283,293,307,309,311,313,317,331,337,339,347,349,353,359,
%U A062667 367,373,379,383,389,393,397,403,431,433,439,443,463,503,523,563,593
%N A062667 Every divisor (except 1) contains the digit 3.
%H A062667 Amiram Eldar, <a href="/A062667/b062667.txt">Table of n, a(n) for n = 1..10000</a>
%e A062667 93 has divisors 1, 3, 31 and 93, all of which contain the digit 3.
%t A062667 fQ[n_, dgt_] := Union[ MemberQ[#, dgt] & /@ IntegerDigits@ Rest@ Divisors@ n][[1]]; Select[ Range[2, 600], fQ[#, 3] &]  (* _Robert G. Wilson v_, Jun 11 2014 *)
%t A062667 Select[Range[2,600],AllTrue[Flatten[DigitCount[#,10,3]&/@Rest[Divisors[#]]],#>0&]&] (* _Harvey P. Dale_, Oct 04 2024 *)
%Y A062667 Cf. A062653, A062664, A062668, A062669, A062670, A062671, A062672, A062673, A062674, A062675, A062676, A062677, A062678, A062679, A062680.
%K A062667 base,easy,nonn
%O A062667 1,1
%A A062667 _Erich Friedman_, Jul 04 2001
%E A062667 Offset corrected by _Amiram Eldar_, Nov 07 2019