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A118700 Odd n such that 2*phi(n) < n, but there does not exist an even k < n with phi(k) = phi(n). 5

%I #11 Aug 16 2012 23:16:24

%S 9075,11985,19965,21165,22515,22815,34935,35445,44505,45315,59415,

%T 67431,67545,108927,135945,143451,180999,286425,295659,359499,360315,

%U 372945,449445,463845,521157,563295,576045,606879,607905,684411,736695,753225,762105,780549,800565

%N Odd n such that 2*phi(n) < n, but there does not exist an even k < n with phi(k) = phi(n).

%H Donovan Johnson, <a href="/A118700/b118700.txt">Table of n, a(n) for n = 1..1000</a>

%e 105 is the smallest odd number such that 2*phi(n) < n, but phi(105) = 48 = phi(104), so 105 is not in the sequence.

%o (PARI) evenphimatch(n)=local(ph,i,r);ph=eulerphi(n);r=0;forstep(i=2*ph,n-1,2,if(eulerphi(i)==ph,r=i;break));r

%o nextoddlowphi(n)=while(2*eulerphi(n)>n,n+=2);n

%o i=1;while(i<1000000,i=nextoddlowphi(i+2);if(evenphimatch(i)==0,print(i)))

%Y Members of A119434 not in A036798.

%K nonn

%O 1,1

%A _Franklin T. Adams-Watters_, May 20 2006

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