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Search: id:A055026
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| A055026 |
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Number of Gaussian primes of successive norms (indexed by A055025). |
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+0
4
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| 4, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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These are the primes in the ring of integers a+bi, a and b rational integers, i = sqrt(-1).
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REFERENCES
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R. K. Guy, Unsolved Problems in Number Theory, A16.
L. W. Reid, The Elements of the Theory of Algebraic Numbers, MacMillan, NY, 1910, see Chap. V.
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LINKS
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Index entries for Gaussian integers and primes
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EXAMPLE
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There are 8 Gaussian primes of norm 5, +-1+-2i and +-2+-i, but only two inequivalent ones (2+-i).
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CROSSREFS
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Cf. A055025-A055029, A055664-...
Sequence in context: A010713 A105398 A005883 this_sequence A059163 A091198 A092159
Adjacent sequences: A055023 A055024 A055025 this_sequence A055027 A055028 A055029
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KEYWORD
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nonn,easy,nice
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AUTHOR
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njas, Jun 09 2000
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EXTENSIONS
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More terms from Reiner Martin (reinermartin(AT)hotmail.com), Jul 20 2001
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