Search: id:A055578
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%I A055578
%S A055578 2,40487,6692367337
%N A055578 "Non-generous primes": primes p whose least positive primitive root is 
               not a primitive root of p^2.
%C A055578 For r a primitive root of a prime p, r + qp is a primitive root of p: 
               but r + qp is also a primitive root of p^2, except for q in some 
               unique residue class modulo p. In the exceptional case, r + qp has 
               order p-1 modulo p^2 (Burton, section 8.3). The sequence has no other 
               terms p < 2^36.
%D A055578 David Burton, Elementary Number Theory, Allyn and Bacon, Boston, 1976, 
               first edition (cf. Section 8.3).
%D A055578 Stephen Glasby (Stephen.Glasby(AT)cwu.EDU), Posting to Number Theory 
               List (NMBRTHRY(AT)LISTSERV.NODAK.EDU), Apr 22, 2001 [found third 
               term].
%H A055578 Joerg Arndt, <a href="http://www.jjj.de/fxt/#fxtbook">Fxtbook</a>
%Y A055578 Cf. A060503, A060504.
%Y A055578 Sequence in context: A047076 A030462 A001377 this_sequence A106025 A157959 
               A094213
%Y A055578 Adjacent sequences: A055575 A055576 A055577 this_sequence A055579 A055580 
               A055581
%K A055578 hard,nonn,bref
%O A055578 0,1
%A A055578 Bernard Leak (bernard(AT)brenda-arkle.demon.co.uk), Aug 24 2000

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