I intend to maintain here a site dedicated to solutions of the diophantine equations
(4,2,2) a4+b4=c4+d4
and
(***) A4-B4=C4-D4=E4-F4
Before I can make the site reader friendly, you can have a look at the following files:
June 24, 2006
414.txt exhaustive list of 1009 solutions to (4,1,4) below 222,000
January 25, 2006
422-10m.txt exhaustive list of 1420 solutions to (4,2,2) below 10,000,000
January 8, 2006
mul175.txt 175 solutions to (***) below 10100 in multiplicative form, i.e.
by giving x1, y1, x2, y2, x3, y3
as described in
magic.pdf January 4, 2006
422.zip (251 KB) 11089 solutions below 1014 to (4,2,2)
add40.txt or
mul40.txt 40 solutions to (***) in additive or multiplicative form
high30.txt 30 more solutions to (***) in multiplicative form
magic.pdf some observations about solutions to (***)
solutions.pdf 40 solutions to (***) with many details
gaussian.pdf my personal notes (rather than clear presentation at the moment ;-(
about some conclusions from unique factorization of Gaussian integers
Jaroslaw Wroblewski
jwr@math.uni.wroc.pl