Search: id:A002972
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%I A002972 M2221
%S A002972 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,
%T A002972 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,
%U A002972 25,23,1,5,15,27,9,19,25,17,11,5,25,27,23,29,29,25,23,19,29,13,31,31
%N A002972 a(n) is the odd member of {x,y}, where x^2+y^2 is the n-th prime of the 
               form 4i+1.
%D A002972 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002972 E. Kogbetliantz and A. Krikorian, Handbook of First Complex Prime Numbers, 
               Gordon and Breach, NY, 1971, p. 243.
%H A002972 T. D. Noe, <a href="b002972.txt">Table of n, a(n) for n=1..1000</a>
%H A002972 S. R. Finch, <a href="http://arXiv.org/abs/math.NT/0701251">Powers of 
               Euler's q-Series</a>, (arXiv:math.NT/0701251).
%e A002972 The 2nd prime of the form 4i+1 is 13=2^2+3^2, so a(2)=3.
%Y A002972 Cf. A002144, A002973.
%Y A002972 Sequence in context: A114567 A001051 A046730 this_sequence A029652 A129510 
               A087913
%Y A002972 Adjacent sequences: A002969 A002970 A002971 this_sequence A002973 A002974 
               A002975
%K A002972 nonn
%O A002972 1,2
%A A002972 N. J. A. Sloane (njas(AT)research.att.com).
%E A002972 Better description from Jud McCranie (j.mccranie(AT)comcast.net), Mar 
               05 2003

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