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A038889
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Primes p such that 17 is a square mod p.
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44
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2, 13, 17, 19, 43, 47, 53, 59, 67, 83, 89, 101, 103, 127, 137, 149, 151, 157, 179, 191, 223, 229, 239, 251, 257, 263, 271, 281, 293, 307, 331, 349, 353, 359, 373, 383, 389, 409, 421, 433, 443, 457, 461, 463, 467, 491, 509, 523, 557, 563, 569, 577, 587, 593
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Also primes of the form 2*x^2+x*y-2*y^2 (as well as of the form 2*x^2+5*x*y+y^2). Discriminant = 17. Class = 1. This was originally a separate entry, submitted by Laura Caballero Fernandez, Lourdes Calvo Moguer, Maria Josefa Cano Marquez, Oscar Jesus Falcon Ganfornina and Sergio Garrido Morales (oscfalgan(AT)yahoo.es), Jun 06 2008. R. J. Mathar proved that this coincides with the present sequence, Jul 22 2008
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REFERENCES
| Borevich and Shafaewich, Number Theory.
D. B. Zagier, Zetafunktionen und quadratische Koerper
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MATHEMATICA
| Select[Prime[Range[200]], JacobiSymbol[17, #]!=-1&] (* From Harvey P. Dale, Sep 20 2011 *)
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CROSSREFS
| Cf. A038889 (17 is a square mod p) A141111, A141112 (d=65).
Sequence in context: A163786 A153507 A124277 * A152652 A142339 A105913
Adjacent sequences: A038886 A038887 A038888 * A038890 A038891 A038892
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 28 2008 at the suggestion of R. J. Mathar
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