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.

A379137 Numbers k such that a nonzero proper substring of the concatenation, in decreasing order, of the prime factors of k (without multiplicity) is divisible by k.

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%I A379137 #36 Dec 20 2024 13:15:01
%S A379137 66,95,132,995,9995,18733,85713,93115,131131,197591,316406,380627,
%T A379137 632812,999995,2897105,4285713,7231913,8691315,58730137,99999995,
%U A379137 169035711,507107133,3005755566,4870313015,6011511132,9023163631,9091190911
%N A379137 Numbers k such that a nonzero proper substring of the concatenation, in decreasing order, of the prime factors of k (without multiplicity) is divisible by k.
%C A379137 507107133, 4870313015, and all numbers of the form 5*A055558(k), k>=1, are terms (cf. A378950). - _Michael S. Branicky_, Dec 16 2024
%e A379137 66 is a term as 66 = 2 * 3 * 11 -> 1132 contains the substring 132, which is equal to 2 * 66 and is divisible by 66.
%Y A379137 Cf. A055558, A085307, A378950.
%K A379137 nonn,base,more
%O A379137 1,1
%A A379137 _Jean-Marc Rebert_, Dec 15 2024
%E A379137 a(19)-a(20) from _Michael S. Branicky_, Dec 16 2024
%E A379137 a(21)-a(22) from _Jean-Marc Rebert_, Dec 16 2024