A267455 -id:A267455 - cp's OEIS frontend

A191029 Primes p with Jacobi symbol (p|39) = 1.

2, 5, 11, 41, 43, 47, 59, 61, 71, 79, 83, 89, 103, 127, 137, 139, 149, 157, 167, 181, 197, 199, 211, 227, 239, 277, 281, 283, 293, 313, 317, 337, 353, 359, 367, 373, 383, 401, 431, 433, 439, 449, 461, 479, 509, 523, 547, 557, 571, 587, 593, 601, 607, 617

Offset: 1

T. D. Noe, May 24 2011

Originally incorrectly named "primes which are squares (mod 39)", which is subsequence A267455 \ {3, 13}. - M. F. Hasler, Jan 15 2016

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

Cf. A191017, A191018, A191020, A191023, A191025, A191026, A191028.

[p: p in PrimesUpTo(617) | JacobiSymbol(p, 39) eq 1]; // Vincenzo Librandi, Sep 10 2012

Select[Prime[Range[200]], JacobiSymbol[#,39]==1&]

select(p->kronecker(p,39)==1&&isprime(p),[1..1000]) \\ M. F. Hasler, Jan 15 2016

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

A191047 Primes p that have Kronecker symbol (p|78) = 1.

Original entry on oeis.org

19, 29, 37, 41, 47, 53, 67, 71, 79, 89, 101, 103, 107, 109, 127, 131, 137, 163, 167, 173, 179, 199, 229, 239, 251, 269, 281, 307, 313, 331, 337, 347, 349, 353, 359, 367, 379, 383, 389, 397, 401, 419, 421, 431, 433, 439, 443, 449, 467, 479, 491, 499, 541, 563

Offset: 1

T. D. Noe, May 25 2011

Originally erroneously named "Primes that are squares mod 78", which would be A267455. - M. F. Hasler, Jan 18 2016

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

[p: p in PrimesUpTo(563) | KroneckerSymbol(p, 78) eq 1]; // Vincenzo Librandi, Sep 11 2012

Select[Prime[Range[200]], JacobiSymbol[#,78]==1&]

is_A191047(p)=kronecker(p, 78)==1&&isprime(p) \\ M. F. Hasler, Jan 18 2016

Definition corrected, following a suggestion from David Broadhurst, by M. F. Hasler, Jan 18 2016

cp's OEIS Frontend

A191029 Primes p with Jacobi symbol (p|39) = 1.

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