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.

A270265 Numbers that are values of the totient function (A002202) but not of the reduced totient function (A002174).

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%I A270265 #18 Dec 01 2024 04:08:40
%S A270265 1936,3872,6348,7744,9196,15004,15488,18392,20812,21160,22264,30008,
%T A270265 35332,36784,38416,41624,42320,44528,51304,58564,63916,65596,70664,
%U A270265 73084,73568,76832,79420,81796,82668,83248,84100,84640,86152,96040,102124,102608,109384,110836
%N A270265 Numbers that are values of the totient function (A002202) but not of the reduced totient function (A002174).
%H A270265 Amiram Eldar, <a href="/A270265/b270265.txt">Table of n, a(n) for n = 1..10000</a>
%H A270265 William D. Banks, John B. Friedlander, Florian Luca, Francesco Pappalardi, and Igor E. Shparlinski, <a href="http://dx.doi.org/10.4064/aa122-3-1">Coincidences in the values of the Euler and Carmichael functions</a>, Acta Arithmetica 122 (2006), 207-234.
%o A270265 (PARI) isA002174(n) = if(n%2, return(n==1)); my(f=factor(n), pe); for(i=1, #f~, if(n%(f[i, 1]-1)==0, next); pe=f[i, 1]^f[i, 2]; forstep(q=2*pe+1, n+1, 2*pe, if(n%(q-1)==0 && isprime(q), next(2))); return(0)); 1 \\ _Charles R Greathouse IV_ at A002174
%o A270265 is(n) = istotient(n) && !isA002174(n); \\ _Amiram Eldar_, Nov 30 2024
%Y A270265 Cf. A000010, A002202.
%Y A270265 Cf. A002322, A002174.
%Y A270265 Cf. A270266.
%K A270265 nonn
%O A270265 1,1
%A A270265 _Michel Marcus_, Mar 14 2016
%E A270265 More terms from _Jinyuan Wang_, Feb 13 2020