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A363371 a(n) is the least prime p for which (p-1)*phi(p^n) is a nontotient, where phi is the Euler totient function (A000010). 1

%I #9 May 29 2023 11:55:45

%S 23,11,23,11,23,11,47,11,11,23,47,23,23,23,47,47,103,103,103,103,103,

%T 103,167,103,103,103,103,103,103,103,103,103,103,179,103,103,103,103,

%U 103,103,103,103,127,103,103,103,103,103,103,103,103,103,103,127,127,103,127,127,127

%N a(n) is the least prime p for which (p-1)*phi(p^n) is a nontotient, where phi is the Euler totient function (A000010).

%C Thus a(n) is the least prime p for which p-1=phi(p), a totient value, multiplied by phi(p^n), another totient value, gives a nontotient. There are several instances of these numbers in A361058.

%H Michel Marcus, <a href="/A363371/b363371.txt">Table of n, a(n) for n = 1..160</a>

%o (PARI) a(n) = my(p=2); while (istotient((p-1)*eulerphi(p^n)), p = nextprime(p+1)); p;

%Y Cf. A000010, A002202 (totient values) A005277 (nontotients), A361058.

%K nonn

%O 1,1

%A _Michel Marcus_, May 29 2023

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