17237429490^4+200142244666^4+1521*47568730255^4=311311240291^4
where 1521=39^2
#math #numbertheory #DiophantineEquation
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Hashtag
#DiophantineEquation
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497080^4+3455480^4+1681*303331^4=3539001^4
5096867688476800^4+14257173103200801^4+1681*1789104792189360^4=15599428217440801^4
where 1681=41^2
#math #numbertheory #DiophantineEquation
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11475640570064014413825810819808^4+80865391456403496507160628667048^4+1089*16674246016934080904607776040767^4=106149067411741143003982433136721^4
where 1089=33^3
#math #numbertheory #DiophantineEquation
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78^4+145^4+676*30^4=179^4
52^4+695^4+676*220^4=1161^4
595835126588^4+686953332505^4+676*44911322720^4=769974199641^4
190426108490655^4+195784922482162^4+676*24564470521530^4=234625355917859^4
where 676=26^2
#math #numbertheory #DiophantineEquation
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6280735446535783465716379065509331^4+7103383804092920409518912914898446^4+9*1262651367305458261366328205557212^4=8014126548716432378253054109270807^4
where 9=3^2
#math #numbertheory #DiophantineEquation
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2^4+3^4+9*4^4=7^4
1775^4+6816^4+9*3160^4=7441^4
108412317^4+672902398^4+9*232811124^4=693723367^4
832300618761600^4+1025279419767361^4+9*2662094131504720^4=4614918884727361^4
where 9=3^2
#math #numbertheory #DiophantineEquation
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792364302175888775536999329638162112230825453628^4+1439165285983781889298120954858657225965028160283^4+484*127385338497725848185790232059083854431886512762^4=1481050256150957795728346644306832406920048906357^4
where 484=22^2
#math #numbertheory #DiophantineEquation
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78^4+145^4+676*30^4=179^4
3162796581836906074692882829165^4+34402977171221514810234591588342^4+676*3742574462243633035518968479950^4=35190432797773050492757030498631^4
where 676=26^2
#math #numbertheory #DiophantineEquation
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1246^4+6675^4+441*860^4=6871^4
1784277123260881^4+1880480424631200^4+441*528805927935080^4=2749199517500881^4
#math #numbertheory #DiophantineEquation
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5^4+30^4+441*4^4=31^4
7584^4+13825^4+441*4840^4=23041^4
1382617890^4+1465701115^4+441*5340708876^4=24474343711^4
240874158397962239^4+517055854162108800^4+441*146783092013024720^4=727136250777077761^4
where 441=21^2
#math #numbertheory #DiophantineEquation
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13722056017275701170^4+37013936592799727757^4+441*7264768810083614380^4=42097870261292471351^4
where 441=21^2
#math #numbertheory #DiophantineEquation
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16^4+272^4+289*23^4=273^4
35968^4+42993^4+289*12624^4=59377^4
292083647^4+1346969088^4+289*233383392^4=1427843137^4
269838035092530625^4+29626708017074950656^4+289*967632685260784800^4=29629143501262841281^4
where 289=17^2
#math #numbertheory #DiophantineEquation
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19314864672530907480^4+22636975012203276971^4+225*884953780761671852^4=25178510126626217621^4
#math #numbertheory #DiophantineEquation
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5^4+6^4+225*8^4=31^4
21^4+70^4+225*16^4=79^4
255^4+544^4+225*184^4=769^4
3296^4+13905^4+225*2712^4=14929^4
217679^4+3454080^4+225*322256^4=3468721^4
1995770^4+18585099^4+225*2297568^4=18825199^4
where 225=15^2
#math #numbertheory #DiophantineEquation
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10^4+35^4+196*8^4=39^4
417536^4+471825^4+196*984240^4=3683089^4
321282225159805^4+723278108687030^4+196*238881666673432^4=980052549504519^4
where 196=14^2
#math #numbertheory #DiophantineEquation
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56515950111040^4+67132229970048^4+49*5154030776061^4=74343486863585^4
where 49=7^2
#math #numbertheory #DiophantineEquation
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44372076633894^4+77909041151165^4+25*27822312777444^4=86389766182919^4
30349437574529245745495626^4+36014980717504479405951385^4+25*17645361618177086600446936^4=47178953833727608086876507^4
where 25=5^2
#math #numbertheory #DiophantineEquation
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330462240^4+19681883985^4+100020001*35918408^4=19687340881^4
where 100020001=10001^2
#math #numbertheory #DiophantineEquation
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55767104238040297905030795528797259692320^4+78288207658424185701166253432632252031345^4+100020001*2151936072079396316504082533214740160856^4=216379572768075663238210104489857530586481^4
where 100020001=10001^2
#math #numbertheory #DiophantineEquation
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23152861938570498145556012585^4+60557786474818557302419806760^4+1002001*2300985448491296510751662356^4=80418687693374836495491173481^4
where 1002001=1001^2
#math #numbertheory #DiophantineEquation
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45753469462771034827239514345^4+288007382726315607908039217320^4+1002001*12829889461880851503612137492^4=429515445597075781190277496617^4
where 1002001=1001^2
#math #numbertheory #DiophantineEquation
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836907656806^4+39936310566075^4+1002001*257114651520^4=39953488862431^4
where 1002001=1001^2
#math #numberthoery #DiophantineEquation
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40^4+65^4+1002001*4^4=129^4
650^4+3150^4+1002001*69^4=3319^4
2950^4+16874^4+1002001*335^4=17499^4
4726575^4+13732576^4+1002001*426120^4=16213201^4
3267550^4+4102946^4+1002001*532985^4=16883571^4
where 1002001=1001^2
#math #numbertheory #DiophantineEquation
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40^4+65^4+1002001*4^4=129^4
23152861938570498145556012585^4+60557786474818557302419806760^4+1002001*2300985448491296510751662356^4=80418687693374836495491173481^4
where 1002001=1001^2
#math #numbertheory #DiophantineEquation
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2244245832556529139840729853871648637561346631^4+3508215556851756699561473381020206073920559590^4+900*740145036742509923447447610590786527546533770^4=4597916620082610865987161213094480097627506283^4
where 900=30^2
#math #numbertheory #DiophantineEquation
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10273306668320686311812656725^4+21672525695420775656916403894^4+25*24603748441277284283090649300^4=55360346418742274771588669519^4
where 25=5^2
#math #numbertheory #DiophantineEquation
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6317639^4+41597960^4+121*72383300^4=240122361^4
4561002278236940^4+9623234663831655^4+121*9716792562424596^4=32294034739143193^4
5071663784268480400570^4+5652307923955737796025^4+121*1980104717474122784036^4=7714810978574017601787^4
where 121=11^2
#math #numbertheory #DiophantineEquation
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1386708684717704417415447676110381747329961746744061035855^4+1660548304227062143062429432325644367480550303188718390718^4+841*268651482245552449240991791970051552029926577500275067480^4=1989985754636187095263645026424660343744176930218543583843^4
where 841=29^2
#numbertheory #DiophantineEquation
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170006954123030184542447668195^4+229056236830248164066404223600^4+841*53461279335894866928179432392^4=319788414125749287078267357213^4
where 841=29^2
#math #numbertheory #DiophantineEquation
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529342994422784252^4+1113189054592962532^4+529*356143066543690741^4=1783792077677461137^4
where 529=23^2
#math #numbertheory #DiophantineEquation
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