

A191036


Primes p that have Jacobi symbol (p55) = 1.


11



2, 7, 13, 17, 31, 43, 59, 71, 73, 83, 89, 107, 127, 167, 173, 179, 181, 191, 193, 197, 199, 227, 229, 233, 251, 263, 269, 277, 283, 293, 307, 311, 331, 337, 347, 373, 379, 389, 401, 419, 421, 449, 457, 499, 503, 509, 521, 523, 547, 557, 563, 593, 599, 607
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

Originally incorrectly named "primes which are squares mod 55", which is sequence A267478, a subsequence whose terms have (p5) = (p11) = 1 except for the two initial terms 5 and 11.  M. F. Hasler, Jan 15 2016


LINKS



MATHEMATICA

Select[Prime[Range[200]], JacobiSymbol[#, 55]==1&]


PROG

(Magma) [p: p in PrimesUpTo(607)  JacobiSymbol(p, 55) eq 1]; // Vincenzo Librandi, Sep 10 2012
(PARI) select(p>kronecker(p, 55)==1&&isprime(p), [1..1500]) \\ M. F. Hasler, Jan 15 2016


CROSSREFS

Cf. A191017, A191018, A191020, A191023, A191025, A191026, A191028, A191029,A191032, A191034, A191037.


KEYWORD

nonn,easy


AUTHOR



EXTENSIONS

Definition corrected (following an observation by David Broadhurst) by M. F. Hasler, Jan 15 2016


STATUS

approved



