cp's OEIS Frontend

A324257 Conceited Numbers: Composite numbers that are a concatenation of their distinct prime factors with multiplicity in some order allowing overlap.

%I A324257 #31 Oct 27 2023 19:52:54
%S A324257 735,3792,13377,21372,51375,67335,119911,229912,290912,537975,1341275,
%T A324257 1713192,2317312,2333772,2971137,3719193,4773132,5117695,7237755,
%U A324257 7747292,11973192,13115375,13731373,16749933,19853575,22940075,29090912,29373375
%N A324257 Conceited Numbers: Composite numbers that are a concatenation of their distinct prime factors with multiplicity in some order allowing overlap.
%C A324257 "Conceited Numbers" (they are full of themselves).
%C A324257 The decimal representation of these numbers can be formed typographically from their prime factors. Every distinct prime factor must appear at least once. Generalization of the sequence A083359.
%C A324257 Subsequences:
%C A324257 --No overlap: A324258
%C A324257 --Every prime factor appears in number (not just distinct prime factors): A324259
%C A324257 --No multiplicity: A324260
%C A324257 --Multiplicity only up to the exponent of the distinct prime factor: A083359
%C A324257 Other subsequences are formed by more than one constraint; e.g., A121342 is the intersection of A324258 and A324260, terms with no overlap and no multiplicity.
%H A324257 Giovanni Resta, <a href="/A324257/b324257.txt">Table of n, a(n) for n = 1..302</a> (first 103 terms from Deron Stewart)
%H A324257 Deron Stewart, <a href="/A324257/a324257.txt">C# method to evaluate candidate terms given the distinct prime factors</a>.
%e A324257 67335 = 3*5*67^2 formed by 67||3|||3||5 (this term is not in A083359 because two 3's are required in the concatenation).
%e A324257 3719193 = 3*19*71*919 formed by 3||71||9(19)||3 where 19 and 919 overlap.
%Y A324257 Cf. A324258, A324259, A324260, A083359, A083360, A083361, A121342.
%K A324257 nonn,base
%O A324257 1,1
%A A324257 _Deron Stewart_, Feb 19 2019