A191043 - OEIS

A191043

Primes p that have Kronecker symbol (p|70) = 1.

17, 19, 37, 43, 47, 53, 59, 61, 67, 71, 73, 79, 97, 101, 103, 107, 131, 139, 151, 163, 167, 181, 191, 197, 223, 229, 239, 251, 257, 269, 277, 281, 313, 317, 347, 349, 353, 359, 367, 373, 383, 401, 419, 431, 433, 443, 449, 461, 503, 509, 547, 557, 569, 577

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OFFSET

1,1

COMMENTS

Originally incorrectly named "primes which are squares mod 70", which is sequence A106881. - M. F. Hasler, Jan 15 2016

LINKS

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

MATHEMATICA

Select[Prime[Range[200]], JacobiSymbol[#, 70]==1&]

PROG

(Magma) [p: p in PrimesUpTo(577) | KroneckerSymbol(p, 70) eq 1]; // Vincenzo Librandi, Sep 11 2012

(PARI) select(p->kronecker(p, 70)==1&&isprime(p), [1..1000]) \\ This is to provide a generic characteristic function ("is_A191043") as 1st arg of select(), there are other ways to produce the sequence more efficiently. - M. F. Hasler, Jan 15 2016

CROSSREFS

Cf. A191017, A191018, A191020, A191023, A191025, A191026, A191028, A191029, A191032, A191034, A191036, A191037, A191040, A191042.

Sequence in context: A318940 A289355 A144214 * A306510 A129805 A289492

Adjacent sequences: A191040 A191041 A191042 * A191044 A191045 A191046

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 25 2011

EXTENSIONS

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

STATUS

approved