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Primes p with Kronecker symbol (p|2*11) = 1.
19

%I #20 Sep 08 2022 08:45:57

%S 13,19,23,29,31,43,47,61,71,83,89,97,101,103,107,109,113,131,137,139,

%T 149,173,191,197,199,211,223,227,257,277,283,293,307,311,313,347,349,

%U 353,367,373,383,401,433,449,461,463,487,491,521,523,541,547,557,563

%N Primes p with Kronecker symbol (p|2*11) = 1.

%C Originally incorrectly named "primes which are squares (mod 22)", which is sequence A056874. - _M. F. Hasler_, Jan 15 2016

%H Iain Fox, <a href="/A191020/b191020.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from Vincenzo Librandi)

%t Select[Prime[Range[200]], JacobiSymbol[#,22]==1&]

%o (Magma) [p: p in PrimesUpTo(563) | KroneckerSymbol(p, 22) eq 1]; // _Vincenzo Librandi_, Sep 11 2012

%o (PARI) lista(nn) = forprime(p=13, nn, if(kronecker(p, 22)==1, print1(p, ", "))) \\ _Iain Fox_, Mar 05 2018

%Y Cf. A191017, A191018, A191023.

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 24 2011

%E Definition corrected (following an observation by _David Broadhurst_) by _M. F. Hasler_, Jan 15 2016