

A196511


Primes q for which there are primes b < c < p such that b^p == c^p == 1 (mod q^2).


4



555383, 1767407, 2103107, 2452757, 7400567, 12836987, 14668163, 15404867, 16238303, 19572647, 22796069, 25003799, 26978663, 27370727
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

Computed mainly by M. Oakes and D. Broadhurst, cf. link.
For all the listed terms, except for a(4)=2452757 and a(11)=22796069, p=(q1)/2, which implies that they are "safe primes", cf. A005385. For a(4) and a(11), p=(q1)/4.
The subsequence of terms of the form q=2p+1 is A196733. As of today it is complete up to its 51st term, ~2e8.  M. F. Hasler, Oct 05 2011


LINKS

David Broadhurst and others, Square factors of b^p1, digest of 81 messages in primenumbers Yahoo group, Sep 22  Nov 29, 2011.


CROSSREFS



KEYWORD

nonn,more


AUTHOR



STATUS

approved



