%I
%S 2,29,37,43,71,103,109,113,131,181,191,211,257,263,269,283,349,353,
%T 359,367,373,397,439,449,461,487,509,563,599,617,619,631,641,647,653,
%U 701,739,743,773,797,839,857,863,883,887,907,919,947,971,983,1019,1031
%N Primes p that have a primitive root between 0 and p that is not a primitive root of p^2.
%C The smallest primitive roots of p that is not a primitive root of p^2 are in A060504.
%C Except for the initial term 2, this is a subset of A134307.  _Jeppe Stig Nielsen_, Jul 31 2015
%H Robert Israel, <a href="/A060503/b060503.txt">Table of n, a(n) for n = 1..1000</a>
%F filter:= proc(p) local x;
%F if not isprime(p) then return false fi;
%F x:= 0;
%F do
%F x:= numtheory:primroot(x,p);
%F if x = FAIL then return false fi;
%F if x &^ (p1) mod p^2 = 1 then return true fi;
%F od
%F end proc:
%F select(filter, [2, seq(i,i=3..2000,2)]); # _Robert Israel_, Dec 01 2016
%e 14 is a primitive root of 29 but not of 29^2.
%o (PARI) forprime(p=2,,for(a=1,p1,if(znorder(Mod(a,p))==p1&Mod(a,p^2)^(p1)==1,print1(p,", ");break()))) \\ _Jeppe Stig Nielsen_, Jul 31 2015
%Y Cf. A055578, A060504, A134307.
%K nonn,changed
%O 1,1
%A _Jud McCranie_, Mar 22 2001
