A191026 Primes p that have Jacobi symbol (p|35) = 1.

3, 11, 13, 17, 29, 47, 71, 73, 79, 83, 97, 103, 109, 149, 151, 157, 167, 173, 179, 191, 211, 223, 227, 239, 257, 281, 283, 293, 307, 313, 331, 353, 359, 367, 379, 383, 389, 397, 401, 421, 431, 433, 449, 467, 491, 499, 503, 523, 541, 563, 569, 571, 577, 587

Offset: 1

Author

T. D. Noe, May 24 2011

Keywords

• nonn
• easy

Comments

Originally incorrectly named "Primes which are squares (mod 35)", which is subsequence A106881. - M. F. Hasler, Jan 15 2016

Links

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

Crossrefs

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

Programs

Magma

[p: p in PrimesUpTo(587) | JacobiSymbol(p,35) eq 1]; // Vincenzo Librandi, Sep 10 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,35]==1&]

PARI

is(p)=kronecker(p, 35)==1&&isprime(p) \\ M. F. Hasler, Jan 15 2016

Extensions

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