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#20 by Michael De Vlieger at Sun May 22 09:49:28 EDT 2022
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#19 by Jon E. Schoenfield at Sun May 22 09:25:02 EDT 2022
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#18 by Jon E. Schoenfield at Sun May 22 09:25:00 EDT 2022
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| LINKS
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<a href="https://oeis.org/wikiindex/Index_to_OEIS:_Section_Pri#primes_decomp_of">Index to sequences related to decomposition of primes in quadratic fields</a>
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| PROG
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(MAGMAMagma) [p: p in PrimesUpTo(613) | IsOne(JacobiSymbol(p, 19))]; // Bruno Berselli, Sep 10 2012
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| STATUS
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approved
editing
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#17 by Charles R Greathouse IV at Sun Mar 18 15:46:05 EDT 2018
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#16 by Charles R Greathouse IV at Sun Mar 18 15:46:02 EDT 2018
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| COMMENTS
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Primes which are 1, 5, 7, 9, 11, 17, 23, 25, or 35 mod 38. - Charles R Greathouse IV, Mar 18 2018
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| FORMULA
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a(n) ~ 2n log n. - Charles R Greathouse IV, Mar 18 2018
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| PROG
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(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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| STATUS
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approved
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#15 by Susanna Cuyler at Sun Dec 31 16:52:06 EST 2017
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#14 by Susanna Cuyler at Sun Dec 31 16:52:03 EST 2017
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| LINKS
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<a href="https://oeis.org/wiki/Index_to_OEIS:_Section_Pri#primes_decomp_of">Index to sequences related to decomposition of primes in quadratic fields</a>
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| STATUS
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approved
editing
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#13 by N. J. A. Sloane at Mon Dec 25 20:07:42 EST 2017
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#12 by N. J. A. Sloane at Mon Dec 25 20:07:39 EST 2017
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| NAME
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Rational primes that decompose in the quadratic field Q(sqrt(-19)).
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#11 by N. J. A. Sloane at Mon Dec 25 20:07:04 EST 2017
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| NAME
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PrimesRational primes that decompose arein squaresthe modfield Q(sqrt(-19.)).
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| EXTENSIONS
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Definition corrected by N. J. A. Sloane, Dec 25 2017
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| STATUS
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approved
editing
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