H.Nakao
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H.Nakao
@his-271828.bsky.social
An amateur mathematician interested in finding rational points on various elliptic curves.

The answer to my profile picture problem : https://bsky.app/profile/his-271828.bsky.social/post/3ll6z47e5kk25
I have written a math paper "Complete Parametrization of the Quartic Diophantine Equation $x^4+y^4+z^4=2n^2w^4$ via Elliptic Curve Rational Points".

www.kaynet.or.jp/~kay/misc/pa...

#math #numbertheory
www.kaynet.or.jp
December 8, 2025 at 11:24 AM
24574653502948757745404^4+98778234488177851314697^4+101516509859021233400459^4=2052338*3148857129793207750683^4

where 2052338=2*1013^2

#math #numbertheory
December 6, 2025 at 11:19 AM
4295871272152466746761976654307690460850681558116960^4+5169308675927745227653369081559493536138890498803277^4+18709046623091823208347464671193295234961314573378103^4=20402*1568787235259872750692717840566404947094690664091313^4

#math #numbertheory
December 5, 2025 at 10:33 PM
11566524698278008178175494709128636544635230699^4+55533467549319684604321403836601861318197410455^4+96201694481007146665176733936502346101197249772^4=20402*8264519317562045735851914877899065409532634189^4

#math #numbertheory
December 5, 2025 at 8:08 AM
1178108651169045260577235^4+1449300748795887082597506^4+7193126398093605364125817^4=28322*554808959893225555073413^4

#math #numbertheory
November 30, 2025 at 9:21 PM
30287965481668073^4+434289126261707635^4+996472927107738074^4=28322*77496631489680909^4

#math #numbertheory
November 30, 2025 at 9:55 AM
24258321330732962355999686867846^4+27118524650354270173210889778205^4+110405582064650932468485560587553^4=28322*8523272615206458085091781325017^4

#math #numbertheory
November 30, 2025 at 9:04 AM
1769734229756854046587^4+3486915123989859025021^4+3603245131844079955822^4=30258*322228288985434432803^4

1605232846552988693663083^4+15310099221323106323333974^4+26726559230962098999185413^4=30258*2078920906714410479312607^4

#math #numbertheory
November 30, 2025 at 4:54 AM
1789593826857255365614174677935284171989209^4+2343693210096538533301328445173189339231361^4+12023829549911322916600523038119315221710948^4=37538*864240945034066821733693498274385569012041^4

#math #numbertheory
November 29, 2025 at 1:48 AM
179575340272352935286791443376808237^4+693374228497742807146599186733506816^4+1432007864134215199985174254412224867^4=37538*104270779175513165867177769821189591^4

#math #numbertheory
November 29, 2025 at 1:47 AM
320762821264902967606018336856584424178349^4+366434686652852590433874156232909522349467^4+493061733231379399354157067716099987948752^4=37538*39098000568305059658490815053459012764501^4

#math #numbertheory
November 28, 2025 at 11:45 AM
149889^4+882044^4+1072631^4=37538*84673^4

#math #numbertheory
November 28, 2025 at 3:53 AM
82328049398867^4+291184239876041^4+489955827284800^4=39762*35738052954763^4

3975344168057762730641673660022153^4+6847542807301913144693534544533419^4+9894323059504607540624837744117200^4=39762*741685359160800331690351444620767^4

#math #numbertheory
November 27, 2025 at 10:31 AM
72211175^4+446853184^4+1030134149^4=39762*73587999^4

#math #numbertheory
November 27, 2025 at 6:36 AM
113673592703906266918011232020168859681057910791277561^4+113842233207094792857984665377573390700903783012025320^4+143221987283507308136629917020039329960318682039634917^4=39762*11741400243796499604922280011733785396199267990932801^4

#math #numbertheory
November 26, 2025 at 10:12 PM
271715^4+1450633^4+2637136^4=44402*185697^4

8840735^4+15713293^4+18373504^4=44402*1420989^4

48812433096104192280585980425^4+87270532322511977645478103096^4+97807937999541679167816208957^4=44402*7689025592239101688492416561^4

#math #numbertheory
November 23, 2025 at 7:04 AM
1785158941^4+5869197116^4+6815346585^4=44402*524263337^4

#math #numbertheory
November 23, 2025 at 5:48 AM
2385615476550139572205^4+3415396128861355429097^4+4888027499437979748478^4=50562*347738676504223369799^4

13234717789541574542377558675^4+22807097970157185063684442369^4+41979121241903358238053558086^4=50562*2865031763270811629442013507^4

#math #numbertheory
November 23, 2025 at 12:43 AM
262692^4+641495^4+842767^4=51842*60149^4

331913320561044^4+928880285751419^4+1311823766263315^4=51842*92025390542207^4

9019433662370909748^4+20557474549673188723^4+24891537678758974955^4=51842*1820237411441634919^4

#math #numbertheory
November 21, 2025 at 3:54 AM
84031440653299^4+124447038425085^4+126853114541444^4=51842*10142715081589^4

#math #numbertheory
November 21, 2025 at 12:54 AM
34027731244176857693424923689^4+49679350265336908412421547867^4+93664253000779810569232111096^4=59858*6127757850984675358794326967^4

#math #numbertheory
November 20, 2025 at 6:28 AM
204435412070026^4+818976253406815^4+2621584723264119^4=64082*165163107938533^4

17537137653148550^4+89277051858664349^4+296019323791884621^4=64082*18643692946777843^4

59097058255223912105^4+115934795785905848678^4+323171332455293862417^4=64082*20401011204988180909^4

#math #numbertheory
November 19, 2025 at 11:59 AM
586876415^4+2789777249^4+4823616902^4=64082*311333271^4

29092425519825072553393^4+30531669588515263454575^4+44316257411869674667046^4=64082*3035723354029701765543^4

#math #numbertheory
November 19, 2025 at 8:48 AM
14903569185521164040330^4+126910697431999536321289^4+176061730686227662152879^4=64082*11747207496659243430019^4

#math #numbertheory
November 19, 2025 at 1:35 AM
4458803169104689069822434682090^4+7945715715665061208795528967507^4+14738000323174715042781369545851^4=64082*947100144500472880024381059063^4

#math #numbertheory
November 18, 2025 at 1:00 PM