Giovanni Resta wrote a very interesting article on his search for (6,2,5) (Giovanni Resta's article in PostScript format)
His source code is included !
    Lists all distributed computing projects (George Woltman)
    Greg Childers page containing his Integer Relation program.
    Greg Childers is the discoverer of the application of Integer Relation to the sum of powers problem.
    He is also one of the main contributors to the equation (k,1,n) with k > 12 and he hosts the EulerNet server.
    Joe McLean's page. Independent search of equal sums of like powers.
    Very interesting generalisations of the problem.
    Definitely the page to start with if you want to have more explanations !
    The definite link for all multigrade equations ! (Chen Shuwen)
    You can find a mirror of his page here.
    Joe Crump's page
    He and his brother (John Michael Crump) were the pioneers on high power search.
    Giovanni Resta's page.
    He wrote an interesting article about (6,2,5) which is the basis of EulerNet's search.
    James Wanless page, containing some Euler conjectures.
    Interesting work on (5,1,4) and some other diophantine equations.
    Roger Frye's article on how he found 958004+2175194+4145604=4224814 on the Connection Machine !
    Interesting work on (4,1,3) and (3,2,2) (D.J. Bernstein)
    Noam Elkies article how he computed |x^3+y^3-z^3| < M
    Yasutoshi Kohmoto's parametrical equations on third power.
    Lists some work on computing Equal Sums of Like Power
    Massive computing effort on the problem
    Another massive computing effort on the problem (Rizos Sakellariou)
    The fabulous Eric's Treasure Trove site which contains references to almost any mathematical problem
    Describes conditions on c so that the generalized Fermat-Wiles equation x^n+y^n=c*z^n has nontrivial integer solutions
    Very interesting links !
    Some articles on the discovery of (4,1,3).
    More informations on Waring's problem (dead links)
    Has some more references on the problem
    Computing exploration of a^5+b^5+c^5+d^5=e^5
    The link is now dead. Can anybody send me a duplicate of this page ?

This site has been designated a Cool Site in the Netscape Open Directory:
category at
(Thank you Warut Roonguthai !)
    Warut Roonguthai's huge bookmark
    All solutions to x3+y3+z3 < 1000 and x3+y3+2*z3 < 1000
    Various results about sums of powers.
    Excellent for searching documents !
    Lists of other distributed projects

    A huge list of Windows freeware sorted by category !
    how much tickets are necessary to win on the english and french lotteries.
    Harvey Heinz's collection of magic squares.
   A strange collection of organisms.
    A huge list of free Internet services.
    Carlos Rivera's site about puzzles with primes.
    All the Frequently Asked Questions.
    An impressive demonstration of Mac System.
    Bridge Builder is an EXCELLENT optimization game, try it out !
    Impressive 64K demo (yes, 65,536 bytes !!!)
    Demos in 256 bytes (yes, bytes !)


L.J. Lander, T.R. Parkin, J.L. Selfridge, A Survey of Equal Sums of Like Powers, Math. Comput. 21 (1967), pages 446-459.
R. Ekl, Equal Sums of Four Seventh Powers, Mathematics of Computation 65, number 216 (1996), pages 1755-1756.
Bob Scher, General Perfect Sums.

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