|
%I #5 Mar 31 2012 23:01:23
%S 0,643,1172,2013,2974,4343,6024,7873,10082,12891,16372,20093,24582,
%T 29623,34952,41193,48082,56003,65412,75613,86222,97671,109552,122321,
%U 138450,155611,174380,193701,215902,238703,263352,289921,317810,347739
%N 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 a(2)=643 was first given by _Robert Israel_.
%H 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 a(1)=0=19^2-17^2-11^2+7^2 (0 already requires 19)
%e a(2)=643=23^2+19^2-13^2-7^2-5^2-2^2 (requires 23)
%e a(3)=1172=29^2+23^2-13^2-5^2-2^2
%e a(4)=2013=31^2+29^2+17^2-7^2-5^2-2^2
%e 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 (two representations with the same maximum term)
%Y Cf. A089294.
%K nonn
%O 1,2
%A _W. Edwin Clark_ Nov 06 2003
%E More terms from _David Wasserman_, Aug 31 2005
|
