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Search: id:A033203
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| A033203 |
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Primes congruent to {1, 2, 3} mod 8; or primes of form x^2+2*y^2; or primes p such that x^2 = -2 has a solution mod p. |
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+0
14
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| 2, 3, 11, 17, 19, 41, 43, 59, 67, 73, 83, 89, 97, 107, 113, 131, 137, 139, 163, 179, 193, 211, 227, 233, 241, 251, 257, 281, 283, 307, 313, 331, 337, 347, 353, 379, 401, 409, 419, 433, 443, 449, 457, 467, 491, 499, 521, 523
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Sequence naturally partitions into two sequences: *all* primes p with ord_p(-2) odd (A163183)[ = the primes dividing 2^j +1 for some odd j] and certain primes p with ord_p(-2) even (A163185). [From Chris Smyth (c.smyth(AT)ed.ac.uk), Jul 23 2009]
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REFERENCES
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D. Cox, "Primes of Form x^2 + n y^2", Wiley, 1989.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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MATHEMATICA
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QuadPrimes[1, 0, 2, 10000] (* see A106856 *)
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CROSSREFS
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Cf. A033200.
Sequence in context: A091734 A038902 A019355 this_sequence A051100 A051088 A051092
Adjacent sequences: A033200 A033201 A033202 this_sequence A033204 A033205 A033206
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KEYWORD
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nonn,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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