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Primes p which have Kronecker symbol (p|34) = 1.
16

%I #15 Sep 08 2022 08:45:57

%S 3,5,11,29,37,47,61,89,103,107,109,127,131,137,139,151,163,173,181,

%T 191,197,211,223,227,239,257,263,269,271,277,281,283,317,347,353,359,

%U 379,383,397,409,419,433,457,463,499,541,547,569,571,577,593,599,619,631

%N Primes p which have Kronecker symbol (p|34) = 1.

%C Originally incorrectly named "primes which are squares (mod 34)", which is sequence A038889. - M. F. Hasler, Jan 15 2016

%H Vincenzo Librandi, <a href="/A191025/b191025.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Prime[Range[200]], JacobiSymbol[#,34]==1&]

%o (Magma) [p: p in PrimesUpTo(631) | KroneckerSymbol(p, 34) eq 1]; // _Vincenzo Librandi_, Sep 11 2012

%Y Cf. A191017, A191018, A191020, 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