

A191054


Primes p such that Jacobi(p,91) = 1.


3



5, 19, 23, 29, 31, 41, 43, 47, 53, 59, 73, 79, 83, 89, 97, 107, 113, 127, 167, 179, 191, 211, 223, 227, 229, 233, 241, 263, 271, 277, 293, 307, 337, 347, 349, 353, 373, 383, 389, 397, 409, 443, 461, 479, 491, 509, 547, 569, 571, 577, 587, 593, 599, 619, 641
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OFFSET

1,1


COMMENTS

Originally incorrectly named "Primes that are squares mod 91", which is sequence A106989, and a subsequence of this one, because these primes have (p7) = (p13) = 1. The present sequence includes also primes with (p7) = (p13) = 1.  David Broadhurst and M. F. Hasler, Jan 15 2016


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000


MATHEMATICA

Select[Prime[Range[200]], JacobiSymbol[#, 91]==1&]


PROG

(MAGMA) [p: p in PrimesUpTo(641)  JacobiSymbol(p, 91) eq 1]; // Vincenzo Librandi, Sep 10 2012
(PARI) is(p)=kronecker(p, 91)==1&&isprime(p) \\ M. F. Hasler, Jan 15 2016


CROSSREFS

Sequence in context: A087840 A074229 A152912 * A097934 A191609 A191084
Adjacent sequences: A191051 A191052 A191053 * A191055 A191056 A191057


KEYWORD

nonn,easy


AUTHOR

T. D. Noe, May 25 2011


EXTENSIONS

Definition corrected, following a suggestion from David Broadhurst, by M. F. Hasler, Jan 15 2016


STATUS

approved



