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A067739 Integers x such that for some integer y we have uphi(x) = uphi(y) = x-y, where uphi(n) = A047994(n) is the unitary totient function: If n = Product p_i^e_i, uphi(n) = Product (p_i^e_i - 1). 5

%I #10 Apr 19 2016 01:07:33

%S 2,60,390,840,2310,2910,4386,6090,10374,11220,13860,21882,33654,51090,

%T 82680,114294,140910,157080,159530,168630,203190,272514,282170,318318,

%U 332010,362670,367080,393414,403130,411990,434070,492882,499590,585390

%N Integers x such that for some integer y we have uphi(x) = uphi(y) = x-y, where uphi(n) = A047994(n) is the unitary totient function: If n = Product p_i^e_i, uphi(n) = Product (p_i^e_i - 1).

%H Donovan Johnson, <a href="/A067739/b067739.txt">Table of n, a(n) for n = 1..300</a>

%t uphi[n_] := Times@@(Power@@#-1&/@FactorInteger[n]); For[x=1, True, x++, If[uphi[y=x-(u=uphi[x])]==u, Print[{x, y}]]]

%Y Cf. A047994, A067741.

%K nonn

%O 1,1

%A _Yasutoshi Kohmoto_

%E Edited by _Dean Hickerson_, Mar 07 2002

%E Offset corrected by _Donovan Johnson_, May 04 2013

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Last modified April 23 02:53 EDT 2024. Contains 371906 sequences. (Running on oeis4.)