

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

Table of n, a(n) for n=1..14.
D. J. Broadhurst et al., Re: Square factors of b^p1 on yahoo group "primenumbers", Sept.Oct. 2011
David Broadhurst and others, Square factors of b^p1, digest of 81 messages in primenumbers Yahoo group, Sep 22  Nov 29, 2011.


CROSSREFS

Cf. A196733, A124121, A124122, A005384, A005385.
Sequence in context: A267600 A345639 A346352 * A196733 A178554 A272133
Adjacent sequences: A196508 A196509 A196510 * A196512 A196513 A196514


KEYWORD

nonn,more


AUTHOR

M. F. Hasler, Oct 03 2011


STATUS

approved



