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A191019
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Rational primes that decompose in the quadratic field Q(sqrt(-19)).
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4
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5, 7, 11, 17, 23, 43, 47, 61, 73, 83, 101, 131, 137, 139, 149, 157, 163, 191, 197, 199, 229, 233, 239, 251, 263, 271, 277, 283, 311, 313, 347, 349, 353, 359, 367, 389, 397, 419, 443, 457, 461, 463, 467, 479, 491, 499, 503, 541, 557, 571, 577, 587, 593, 613
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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MATHEMATICA
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Select[Prime[Range[200]], JacobiSymbol[#, 19]==1&]
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PROG
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(Magma) [p: p in PrimesUpTo(613) | IsOne(JacobiSymbol(p, 19))]; // Bruno Berselli, Sep 10 2012
(PARI) list(lim)=my(v=List()); forprime(p=5, lim, if(kronecker(-19, p)==1, listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Mar 18 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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