LINKS


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 !

http://www.mersenne.org
    Lists all distributed computing projects (George Woltman)

http://www.pa.uky.edu/~childers/sums.html
    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.

http://www.glasgowg43.freeserve.co.uk/sumintro.htm
    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 !

http://www.nease.net/~chin/eslp/
http://member.netease.com/~chin/eslp/eslp.htm
    The definite link for all multigrade equations ! (Chen Shuwen)
    You can find a mirror of his page here.

http://www.spacefire.com/numbertheory/EqualSums.htm
    Joe Crump's page
    He and his brother (John Michael Crump) were the pioneers on high power search.

http://www.imc.pi.cnr.it/~resta/unlike.html
    Giovanni Resta's page.
    He wrote an interesting article about (6,2,5) which is the basis of EulerNet's search.

http://www.bearnol.pwp.blueyonder.co.uk/Math/index.html
    James Wanless page, containing some Euler conjectures.

http://Tom.Womack.net/maths/maths.htm
    Interesting work on (5,1,4) and some other diophantine equations.

http://www.rt66.com/~frye/euler88.ps
http://www.cybermesa.com/~rfrye/collab.htm
    Roger Frye's article on how he found 958004+2175194+4145604=4224814 on the Connection Machine !

http://pobox.com/~djb/sortedsums.html
http://cr.yp.to/sortedsums.html
    Interesting work on (4,1,3) and (3,2,2) (D.J. Bernstein)

http://arxiv.org/abs/math/0005139
    Noam Elkies article how he computed |x^3+y^3-z^3| < M

http://boat.zero.ad.jp/~zbi74583/four.htm
    Yasutoshi Kohmoto's parametrical equations on third power.

http://www.ams.org/jourcgi/amsjournal?fn=120&pg1=pii&s1=S002557189800979X
http://www.ams.org/jourcgi/amsjournal?fn=120&pg1=pii&s1=S0025571896007685
    Lists some work on computing Equal Sums of Like Power

http://gutenberg.llnl.gov/~colvin/euler/
    Massive computing effort on the problem

http://www.cs.man.ac.uk/cnc/EqualSums/
    Another massive computing effort on the problem (Rizos Sakellariou)

http://mathworld.wolfram.com/EulerQuarticConjecture.html
http://mathworld.wolfram.com/EulersSumofPowersConjecture.html
http://mathworld.wolfram.com/DiophantineEquation.html
http://mathworld.wolfram.com/DiophantineEquation2ndPowers.html
http://mathworld.wolfram.com/DiophantineEquation3rdPowers.html
http://mathworld.wolfram.com/DiophantineEquation4thPowers.html
http://mathworld.wolfram.com/DiophantineEquation5thPowers.html
http://mathworld.wolfram.com/DiophantineEquation6thPowers.html
http://mathworld.wolfram.com/DiophantineEquation7thPowers.html
http://mathworld.wolfram.com/DiophantineEquation8thPowers.html
http://mathworld.wolfram.com/DiophantineEquation9thPowers.html
http://mathworld.wolfram.com/DiophantineEquation10thPowers.html
http://mathworld.wolfram.com/DiophantineEquationnthPowers.html
http://mathworld.wolfram.com/BealsConjecture.html
http://mathworld.wolfram.com/MultigradeEquation.html
http://mathworld.wolfram.com/Prouhet-Tarry-EscottProblem.html
    The fabulous Eric's Treasure Trove site which contains references to almost any mathematical problem

http://www.mathsoft.com/asolve/fermat/fermat.html
    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 !

http://listserv.nodak.edu/scripts/wa.exe?A2=ind9709&L=nmbrthry&D=0&P=1132
http://listserv.nodak.edu/scripts/wa.exe?A2=ind9709&L=nmbrthry&D=0&P=1037
http://listserv.nodak.edu/scripts/wa.exe?A2=ind9709&L=nmbrthry&P=R496
    Some articles on the discovery of (4,1,3).

http://www.mathsoft.com/asolve/pwrs32/pwrs32.html
http://www.mathsoft.com/asolve/pwrs32/waring.html
    More informations on Waring's problem (dead links)

http://www.math.niu.edu/~rusin/known-math/index/11PXX.html
    Has some more references on the problem

http://users.ox.ac.uk/~mert0236/s253/
    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:
    Science/Math/Number_Theory/Diophantine_Equations/Equal_Sums_of_Like_Powers
category at
http://dmoz.org/Science/Math/Number_Theory/Diophantine_Equations/Equal_Sums_of_Like_Powers/
(Thank you Warut Roonguthai !)

http://ksc9.th.com/warut/bookmarks.html
    Warut Roonguthai's huge bookmark

http://www.asahi-net.or.jp/~KC2H-MSM/mathland/overview.htm
    All solutions to x3+y3+z3 < 1000 and x3+y3+2*z3 < 1000

http://gbms01.uwgb.edu/~dutchs/recmath/rmpowers.htm
    Various results about sums of powers.

http://arxiv.org/
http://www.researchindex.com/
http://searchpdf.adobe.com/
    Excellent for searching documents !

http://www.bottomquark.com/sections.php?op=viewarticle&artid=1
http://www.rechenkraft.net/
http://www.distributedprojects.com/
http://www.aspenleaf.com/distributed/
http://www.lycos.co.uk/dir/Science_Technology_and_Computers/Computers/Computer_Science_and_Study/Distributed_Computing/
http://www.jc-news.com/pc/parse.cgi?distributed/start
http://www.mcn.org/2/ehahn/netforce/links.html
http://distcomp.rynok.org/dcprojects.htm
http://pcmagazine.zdnet.be/help.cfm?id=10199
http://dmoz.org/Computers/Computer_Science/Distributed_Computing/Projects/
http://www.cnl.pl/Projekty/
http://directory.google.com/Top/Computers/Computer_Science/Distributed_Computing/Projects/
http://www.slider.com/Computers/Parallel_Computing/Internet_Based.htm
http://search.aol.co.uk/cat.adp?id=5800084
    Lists of other distributed projects

http://www.geocities.com/CapeCanaveral/Hangar/4577/elkahhar.htm
http://membres.lycos.fr/villemingerard/Addition/ThWaring.htm
http://www2.pourlascience.com/rendez-vous/questions/fermat.htm


UNRELATED LINKS

http://www.nonags.com/nonags/index.html
    A huge list of Windows freeware sorted by category !

http://lottery.merseyworld.com/Wheel/
    how much tickets are necessary to win on the english and french lotteries.

http://www.geocities.com/~harveyh
    Harvey Heinz's collection of magic squares.

http://sodaplay.com/constructor/index.htm
   A strange collection of organisms.

http://www.freewebspace.net
    A huge list of free Internet services.

http://www.primepuzzles.net
    Carlos Rivera's site about puzzles with primes.

http://www.faqs.org
    All the Frequently Asked Questions.

http://www.yaromat.com/macos8/index.htm
    An impressive demonstration of Mac System.

http://bridgebuilder.8m.com/
http://www.bridgebuilder.de/
    Bridge Builder is an EXCELLENT optimization game, try it out !

http://www.theproduct.de/
    Impressive 64K demo (yes, 65,536 bytes !!!)

http://www.256b.com/
    Demos in 256 bytes (yes, bytes !)


REFERENCES


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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