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Search: id:A002972
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| A002972 |
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a(n) is the odd member of {x,y}, where x^2+y^2 is the n-th prime of the form 4i+1.
(Formerly M2221)
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+0
4
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| 1, 3, 1, 5, 1, 5, 7, 5, 3, 5, 9, 1, 3, 7, 11, 7, 11, 13, 9, 7, 1, 15, 13, 15, 1, 13, 9, 5, 17, 13, 11, 9, 5, 17, 7, 17, 19, 1, 3, 15, 17, 7, 21, 19, 5, 11, 21, 19, 13, 1, 23, 5, 17, 19, 25, 13, 25, 23, 1, 5, 15, 27, 9, 19, 25, 17, 11, 5, 25, 27, 23, 29, 29, 25, 23, 19, 29, 13, 31, 31
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
E. Kogbetliantz and A. Krikorian, Handbook of First Complex Prime Numbers, Gordon and Breach, NY, 1971, p. 243.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
S. R. Finch, Powers of Euler's q-Series, (arXiv:math.NT/0701251).
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EXAMPLE
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The 2nd prime of the form 4i+1 is 13=2^2+3^2, so a(2)=3.
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CROSSREFS
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Cf. A002144, A002973.
Sequence in context: A114567 A001051 A046730 this_sequence A029652 A129510 A087913
Adjacent sequences: A002969 A002970 A002971 this_sequence A002973 A002974 A002975
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Better description from Jud McCranie (j.mccranie(AT)comcast.net), Mar 05 2003
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