Search: id:A089295
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%I A089295
%S A089295 0,643,1172,2013,2974,4343,6024,7873,10082,12891,16372,20093,24582,
%T A089295 29623,34952,41193,48082,56003,65412,75613,86222,97671,109552,122321,
%U A089295 138450,155611,174380,193701,215902,238703,263352,289921,317810,347739
%N A089295 Positions of the records in A089294. First integer requiring a larger 
               prime in its representation by (signed) sums of squares of distinct 
               primes than all preceding integers.
%C A089295 a(2)=643 was first given by Robert B. Israel (israel(AT)math.ubc.edu).
%H A089295 Robert B. Israel, <a href="http://mathforum.org/discuss/sci.math/m/547283/
               547586">Sum of unique prime squares?</a> Posting in NG sci.math.
%e A089295 a(1)=0=19^2-17^2-11^2+7^2 (0 already requires 19)
%e A089295 a(2)=643=23^2+19^2-13^2-7^2-5^2-2^2 (requires 23)
%e A089295 a(3)=1172=29^2+23^2-13^2-5^2-2^2
%e A089295 a(4)=2013=31^2+29^2+17^2-7^2-5^2-2^2
%e A089295 a(5)=2974=37^2+29^2+23^2+17^2-7^2-3^2+2^2=37^2+31^2+23^2+13^2-7^2-3^2+2^2
%e A089295 (two representations with the same maximum term)
%Y A089295 Cf. A089294.
%Y A089295 Sequence in context: A106488 A135384 A061324 this_sequence A100873 A063844 
               A067845
%Y A089295 Adjacent sequences: A089292 A089293 A089294 this_sequence A089296 A089297 
               A089298
%K A089295 nonn
%O A089295 1,2
%A A089295 W. Edwin Clark (eclark(AT)math.usf.edu) Nov 06 2003
%E A089295 More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Aug 31 
               2005

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