Euler 625 Details

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Re: Euler 625 Details

Unread postby jcmeyrignac » 03.06.2010 23:27

The project is accelerating.
Three new solutions:

(6,2,5) 98395+28723=94633+75712+33642+16089+594
by Death and Jeff17

(6,2,5) 112741+59519=113106+35721+33722+27384+25475
by Laurent Evrard and Jeff17

(6,2,5) 115819+72481=107516+100170+39036+24269+10647
by Jeff17 and Laurent Evrard

154/175
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Re: Euler 625 Details

Unread postby rebirther » 04.06.2010 17:38

Any chance of other euler searches or end up in some weeks?
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Re: Euler 625 Details

Unread postby yoyo » 04.06.2010 19:58

At least nothing which can be announced now.
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Re: Euler 625 Details

Unread postby jcmeyrignac » 06.06.2010 22:27

Three new solutions:

(6,2,5) 95699+80957=91905+81991+71302+47754+618
by Jeff17 and [AF>HFR>RR] julien76100

(6,2,5) 96977+1382=93583+71994+50820+39158+10308
by Michael H.W. Weber and proteino.de

(6,2,5) 97057+30026=97062+26369+22698+10650+4354
by MX-6 and Rebirther

166/178 solutions.
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Re: Euler 625 Details

Unread postby jcmeyrignac » 07.06.2010 20:24

Three new solutions:

(6,2,5) 97243+32386=85211+80616+75738+29400+18368
by proteino.de and Fire$torm

(6,2,5) 103211+7033=97496+81795+60687+27086+22302
by Jean-Charles Meyrignac and Laurent Evrard

(6,2,5) 106055+15685=103992+72723+40274+39066+36785
by sqweeser and Jeff17

175/181 solutions.

Yes, only 6 remain to be double-checked !
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Re: Euler 625 Details

Unread postby jcmeyrignac » 08.06.2010 19:01

Congratulations !!!
The project is complete !

There are 181 solutions to (6,2,5) below 117649 !

We discovered 32 new solutions during this computation, and double-checked all the existing solutions.

The only sad news is that we didn't find a solution to (6,2,4).
Let's hope that the next project will discover one.
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Re: Euler 625 Details

Unread postby Robert Gerbicz » 08.06.2010 20:00

Thanks for your effort! (I'm the author of the euler625.c code that boinc used)
I also plan to write an article about the search.
We have found 32 new solutions of the euler(6,2,5) system, these are:
Code: Select all
92711^6+47567^6=83027^6+80556^6+59802^6+14700^6+14029^6
94082^6+46435^6=89166^6+75390^6+49746^6+35581^6+23206^6
94196^6+66781^6=95517^6+54714^6+31584^6+5306^6+140^6
95699^6+80957^6=91905^6+81991^6+71302^6+47754^6+618^6
95713^6+63016^6=91080^6+79423^6+46074^6+9646^6+3402^6
96373^6+84914^6=95340^6+78741^6+72870^6+57550^6+29288^6
96977^6+1382^6=93583^6+71994^6+50820^6+39158^6+10308^6
97057^6+30026^6=97062^6+26369^6+22698^6+10650^6+4354^6
97136^6+66217^6=94674^6+76300^6+42882^6+29673^6+13516^6
97159^6+64893^6=89222^6+83967^6+57141^6+54474^6+5490^6
97243^6+32386^6=85211^6+80616^6+75738^6+29400^6+18368^6
97973^6+68227^6=87048^6+80031^6+69281^6+67494^6+65954^6
98395^6+28723^6=94633^6+75712^6+33642^6+16089^6+594^6
100755^6+63397^6=93338^6+82068^6+66612^6+62019^6+20469^6
100789^6+5599^6=98115^6+72793^6+42896^6+30786^6+26244^6
101159^6+42058^6=97678^6+74046^6+59367^6+6760^6+6534^6
101183^6+77824^6=104102^6+49153^6+45024^6+19824^6+12390^6
103211^6+7033^6=97496^6+81795^6+60687^6+27086^6+22302^6
104869^6+85444^6=103131^6+88634^6+53130^6+45342^6+10054^6
104989^6+46293^6=95487^6+90626^6+56865^6+38472^6+18396^6
106055^6+15685^6=103992^6+72723^6+40274^6+39066^6+36785^6
107035^6+52081^6=105847^6+65112^6+58758^6+9555^6+2482^6
107726^6+84205^6=110358^6+59872^6+59437^6+48342^6+46410^6
107876^6+78145^6=100737^6+92698^6+70632^6+7490^6+1428^6
108007^6+54189^6=104013^6+83352^6+47257^6+19278^6+13488^6
108211^6+895^6=107211^6+65366^6+45465^6+23240^6+5388^6
108333^6+84905^6=106947^6+88935^6+11080^6+10122^6+4914^6
112741^6+59519^6=113106^6+35721^6+33722^6+27384^6+25475^6
114109^6+6709^6=105306^6+97209^6+20734^6+15817^6+10920^6
114361^6+12374^6=102552^6+98658^6+65977^6+64036^6+24528^6
114658^6+77545^6=112184^6+88382^6+47292^6+44919^6+22578^6
115819^6+72481^6=107516^6+100170^6+39036^6+24269^6+10647^6
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Re: Euler 625 Details

Unread postby Robert Gerbicz » 24.06.2010 23:53

Today the new Euler project has found its first two new primitive solutions of the Euler(6,2,5) system:

237836^6+144025^6=193860^6+175588^6+18228^6+185703^6+201292^6 (Deltanuss and Jeff17)
240197^6+22891^6=129414^6+64601^6+43953^6+128772^6+238210^6 (Jeff17 and dusti)

Interesting that both of them are close to our current Range=250,000.
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Re: Euler 625 Details

Unread postby Robert Gerbicz » 25.06.2010 23:26

Today the project found one new primitive solution:

153775^6+77367^6=23181^6+14760^6+53018^6+57330^6+154077^6
(PSL and proteino.de)

Note that due to the algorithmic improvement on the new Euler code it finds much less non-primitive solutions. That is the reason why the stat is not flooded by non-primitive solutions. (We are interested in primitive solutions.)
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Re: Euler 625 Details

Unread postby yoyo » 26.06.2010 16:44

The participating operating systems in the last 7 days.
Code: Select all
OS          Total Results
Darwin   418
Linux           6082
Windows   8426
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Re: Euler 625 Details

Unread postby Robert Gerbicz » 28.06.2010 00:32

This day one new primitive solution:

194947^6+109491^6=193218^6+47073^6+42777^6+109662^6+118888^6
(Laurent Evrard and Jeff17)
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Re: Euler 625 Details

Unread postby Robert Gerbicz » 29.06.2010 00:25

One new primitive solution:

166925^6+43514^6=72720^6+57070^6+9408^6+120589^6+162456^6
(Jeff17 and Clay)
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