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Search: id:A091729
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| A091729 |
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Norms of prime elements of Z[sqrt(-5)]. |
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+0
3
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| 5, 29, 41, 61, 89, 101, 109, 121, 149, 169, 181, 229, 241, 269, 281, 289, 349, 361, 389, 401, 409, 421, 449, 461, 509, 521, 541, 569, 601, 641, 661, 701, 709, 761, 769, 809, 821, 829, 881, 929, 941, 961, 991
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Consists of those primes congruent to 1, 5, 9 (mod 20) together with the squares of those primes congruent to -1, -3, -7, -9 (mod 20). Suppose n appears in this sequence. Then the number of prime elements of norm n is 2 if n is 5 or a square and 4 otherwise.
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REFERENCES
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D. Cox, Primes of the form x^2+ny^2, Wiley, 1989.
A. Frohlich and M. J. Taylor, Algebraic number theory, Cambridge university press, 1991.
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CROSSREFS
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Sequence in context: A096696 A115279 A087879 this_sequence A033205 A167742 A107151
Adjacent sequences: A091726 A091727 A091728 this_sequence A091730 A091731 A091732
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Boddington (psb(AT)maths.warwick.ac.uk), Feb 02 2004
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EXTENSIONS
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I would also like to get the sequence of norms of prime ideals in the ring Z[sqrt(-5)]. - N. J. A. Sloane (njas(AT)research.att.com), Feb 24 2007
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