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A296915
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Primes that are not squares mod 163.
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1
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2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 59, 67, 73, 79, 89, 101, 103, 107, 109, 127, 137, 139, 149, 157, 181, 191, 193, 211, 229, 233, 239, 241, 257, 269, 271, 277, 283, 293, 311, 317, 331, 337, 349, 353, 389, 401, 431, 433, 443, 449, 463, 467, 479, 491, 509, 521, 541
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OFFSET
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1,1
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COMMENTS
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Inert rational primes in Q(sqrt -163). (Note that 41 is not inert in this field, it decomposes - see A296921.)
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REFERENCES
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Helmut Hasse, Number Theory, Grundlehren 229, Springer, 1980, page 498.
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LINKS
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Table of n, a(n) for n=1..59.
Index to sequences related to decomposition of primes in quadratic fields
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MAPLE
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Load the Maple program HH given in A296920. Then run HH(-163, 200); - N. J. A. Sloane, Dec 26 2017
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PROG
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(PARI) lista(nn) = forprime(p=2, nn, if (!issquare(Mod(p, 163)), print1(p, ", ")); ); \\ Michel Marcus, Dec 24 2017
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CROSSREFS
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Sequence in context: A211654 A038612 A012883 * A171032 A171045 A222566
Adjacent sequences: A296912 A296913 A296914 * A296916 A296917 A296918
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KEYWORD
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nonn
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AUTHOR
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Ed Pegg Jr, Dec 22 2017
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EXTENSIONS
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Corrected by N. J. A. Sloane, Dec 25 2017 (including deletion of incorrect comments in CROSS-REFERENCES)
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STATUS
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approved
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