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.

A343156 Starting at n, a(n) = number of iterations of the map x -> A084317(x) (concatenate distinct prime factors of x) required to reach a prime, or -1 if no prime is ever reached.

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%I A343156 #32 Dec 31 2023 12:35:25
%S A343156 0,0,1,0,1,0,1,1,2,0,1,0,2,4,1,0,1,0,2,1,1,0,1,1,4,1,2,0,2,0,1,1,5,3,
%T A343156 1,0,2,1,2,0,2,0,1,4,1,0,1,1,2,1,4,0,1,2,2,2,1,0,2,0,3,1,1,3,1,0,5,3,
%U A343156 1,0,1,0,2,4,2,2,2,0,2,1,1,0,2,3,2,3,1,0,2,64,1,1,2,4,1,0,2,1,2
%N A343156 Starting at n, a(n) = number of iterations of the map x -> A084317(x) (concatenate distinct prime factors of x) required to reach a prime, or -1 if no prime is ever reached.
%C A343156 Judging by the behavior of similar sequences, it is likely that almost all values of a(n) are -1. n = 407 (see A343157) seems to be the first open case.
%D A343156 Eric Angelini, W. Edwin Clark, Hans Havermann, Frank Stevenson, Allan C. Wechsler, and others, Postings to Math Fun mailing list, April 2021.
%H A343156 Hans Havermann, <a href="/A343156/b343156.txt">Table of n, a(n) for n = 2..406</a>
%e A343156 10 = 2*5 -> 25 = 5^2 -> 5, prime, taking two steps, so a(10)=2.
%e A343156 a(91) = 64: see A084319.
%Y A343156 Cf. A084317, A037274, A037276, A084319, A195264, A343157.
%Y A343156 See A343158 for when k first appears.
%K A343156 nonn,base
%O A343156 2,9
%A A343156 _N. J. A. Sloane_, Apr 07 2021