A191040 Primes p that have Kronecker symbol (p|62) = 1.

3, 7, 11, 13, 29, 37, 41, 43, 47, 53, 61, 71, 83, 97, 103, 113, 139, 179, 181, 191, 193, 197, 229, 233, 251, 257, 269, 277, 281, 311, 331, 347, 359, 389, 431, 439, 461, 479, 491, 499, 503, 509, 521, 523, 557, 571, 577, 587, 593, 599, 607, 613, 617, 619, 643

Offset: 1

Author

T. D. Noe, May 25 2011

Keywords

• nonn
• easy

Comments

Originally incorrectly named "primes which are squares (mod 62)", which is sequence A267481. - 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, A191026, A191028, A191029, A191032, A191034, A191036, A191037.

Programs

Magma

[p: p in PrimesUpTo(643) | KroneckerSymbol(p, 62) eq 1]; // Vincenzo Librandi, Sep 11 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,62]==1&]

PARI

select(p->kronecker(p, 62)==1&&isprime(p), [1..1000]) \\ This is to provide a generic characteristic function ("is_A191040") as 1st arg of select(), there are other ways to produce the sequence more efficiently. - M. F. Hasler, Jan 15 2016

Extensions

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