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A143407 Largest number k such that the reduced totient function psi(k) = A002174(n). 10

%I #6 Mar 19 2016 14:38:29

%S 2,24,240,504,480,264,65520,16320,28728,13200,552,131040,6960,171864,

%T 32640,138181680,1082400,151704,5520,1128,4455360,12720,86184,13920,

%U 1416,6814407600,65280,776664,18744,20174525280,39816,36801600,1992

%N Largest number k such that the reduced totient function psi(k) = A002174(n).

%C For each of the values in A002174, there are only a finite number of numbers k such that psi(k)=A002174(n). This sequence gives the largest such k. Sequence A002396 gives the least k. The number of such k is given in A143408. When A002174(n) is twice a Sophie Germain prime, then a(n) is particularly small.

%H T. D. Noe, <a href="/A143407/b143407.txt">Table of n, a(n) for n=1..1000</a>

%F a(n) = A006863(A002174(n)/2) for n>1.

%Y Cf. A002322 (reduced totient function), A002174, A002396, A143408.

%K nonn

%O 1,1

%A _T. D. Noe_, Aug 13 2008

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)