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.

A358973 Numbers of the form m + omega(m) with m a positive integer.

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%I A358973 #4 Dec 07 2022 17:16:54
%S A358973 1,3,4,5,6,8,9,10,12,14,16,17,18,20,22,23,24,26,28,30,32,33,35,36,37,
%T A358973 38,40,41,42,44,45,46,47,48,50,52,53,54,56,57,58,59,60,62,63,64,65,67,
%U A358973 68,69,70,71,72,73,74,76,77,78,79,80,81,82
%N A358973 Numbers of the form m + omega(m) with m a positive integer.
%H A358973 Petr Kucheriaviy, <a href="https://arxiv.org/abs/2203.12006">On numbers not representable as n + ω(n)</a>, arXiv preprint (2022). arXiv:2203.12006 [math.NT]
%F A358973 Kucheriaviy proves that a(n) << n log log n and conjectures that a(n) ≍ n, that is, these numbers have positive lower density.
%o A358973 (PARI) list(lim)=my(v=List()); forfactored(n=1,lim\1-1, my(t=n[1]+omega(n)); if(t<=lim, listput(v,t))); Set(v)
%Y A358973 Cf. A337455.
%K A358973 nonn
%O A358973 1,2
%A A358973 _Charles R Greathouse IV_, Dec 07 2022