Τρίτη 22 Μαρτίου 2011

▪ Διοφαντική εξίσωση - Εις την τετάρτη

Πόσες λύσεις έχει η εξίσωση A^4+B^4+C^4+D^4=E^4 , στο σύνολο των φυσικών αριθμών?
Η απάντηση είναι: Άπειρες.
Δείτε μερικές:
30^4+120^4+272^4+315^4=353^4
(11)
240^4+340^4+430^4+599^4=651^4
(12)
435^4+710^4+1384^4+2420^4=2487^4
(13)
1130^4+1190^4+1432^4+2365^4=2501^4
(14)
850^4+1010^4+1546^4+2745^4=2829^4
(15)
2270^4+2345^4+2460^4+3152^4=3723^4
(16)
350^4+1652^4+3230^4+3395^4=3973^4
(17)
205^4+1060^4+2650^4+4094^4=4267^4
(18)
1394^4+1750^4+3545^4+3670^4=4333^4
(19)
699^4+700^4+2840^4+4250^4=4449^4
(20)
380^4+1660^4+1880^4+4907^4=4949^4
(21)
1000^4+1120^4+3233^4+5080^4=5281^4
(22)
410^4+1412^4+3910^4+5055^4=5463^4
(23)
955^4+1770^4+2634^4+5400^4=5491^4
(24)
30^4+1680^4+3043^4+5400^4=5543^4
(25)
1354^4+1810^4+4355^4+5150^4=5729^4
(26)
542^4+2770^4+4280^4+5695^4=6167^4
(27)
50^4+885^4+5000^4+5984^4=6609^4
(28)
1490^4+3468^4+4790^4+6185^4=6801^4
(29)
1390^4+2850^4+5365^4+6368^4=7101^4
(30)
160^4+1345^4+2790^4+7166^4=7209^4
(31)
800^4+3052^4+5440^4+6635^4=7339^4
(32)
2230^4+3196^4+5620^4+6995^4=7703^4
(33)
4450^4+5500^4+5670^4+7123^4=8373^4
(34)
4730^4+4806^4+5230^4+7565^4=8433^4
(35)
524^4+4910^4+5925^4+7630^4=8493^4
(36)
1642^4+3440^4+6100^4+7815^4=8517^4
(37)
1050^4+2905^4+5236^4+8230^4=8577^4
(38)
3450^4+3695^4+5780^4+8012^4=8637^4
(39)
816^4+3285^4+6180^4+8570^4=9137^4
(40)
680^4+2870^4+6435^4+8618^4=9243^4
(41)
5192^4+5800^4+6935^4+7820^4=9431^4
(42)
1394^4+1490^4+6935^4+8760^4=9519^4
(43)
305^4+5264^4+7050^4+8570^4=9639^4
(44)
2922^4+5490^4+6800^4+8835^4=9797^4
(45)
4840^4+5660^4+6485^4+8864^4=9877^4
(46)
1620^4+2294^4+8635^4+8870^4=10419^4
(47)
5300^4+5936^4+8530^4+9145^4=10939^4
(48)
3556^4+5300^4+8635^4+10490^4=11681^4
(49)
1476^4+4490^4+6200^4+11455^4=11757^4
(50)
1180^4+8170^4+8735^4+10144^4=12019^4
(51)
2833^4+3710^4+7270^4+11720^4=12167^4
(52)
7480^4+8655^4+8862^4+9360^4=12259^4
(53)
3450^4+4410^4+8925^4+11234^4=12287^4
(54)
320^4+7352^4+8045^4+11390^4=12439^4
(55)
1616^4+5780^4+6190^4+12435^4=12759^4
(56)
2935^4+6870^4+10310^4+10678^4=12771^4
(57)
2870^4+5934^4+5950^4+12845^4=13137^4
(58)
7025^4+7590^4+9712^4+11210^4=13209^4
(59)
1700^4+4975^4+7896^4+13040^4=13521^4
(60)
3440^4+3610^4+10738^4+12035^4=13637^4
(61)
1275^4+6420^4+8278^4+13410^4=14029^4
(62)
3929^4+6660^4+7920^4+13740^4=14297^4
(63)
34^4+210^4+2630^4+14405^4=14409^4
(64)
1530^4+8010^4+9498^4+13355^4=14489^4
(65)
1920^4+2040^4+9219^4+13900^4=14531^4
(66)
800^4+4682^4+10245^4+13760^4=14751^4
(67)
2512^4+4250^4+8940^4+14815^4=15309^4
(68)
3890^4+6800^4+11110^4+14579^4=15829^4
(69)
2880^4+5640^4+11815^4+14598^4=16027^4
(70)
4140^4+4790^4+7701^4+15780^4=16049^4
(71)
137^4+5430^4+6670^4+15940^4=16113^4
(72)
1088^4+2275^4+13110^4+14320^4=16359^4
(73)
1220^4+8830^4+12107^4+14890^4=16643^4
(74)
412^4+10850^4+11015^4+15160^4=16891^4
(75)
1845^4+2350^4+11810^4+15776^4=16893^4
(76)
6690^4+11050^4+11658^4+15375^4=17381^4
(77)
1220^4+8495^4+13060^4+15644^4=17519^4
(78)
950^4+6500^4+11896^4+16405^4=17521^4
(79)
1802^4+5450^4+12850^4+16215^4=17661^4
(80)
3220^4+3235^4+10660^4+17068^4=17693^4
(81)
1945^4+7256^4+9860^4+17320^4=17881^4
(82)
2760^4+8340^4+9423^4+17510^4=18077^4
(83)
5270^4+5898^4+13660^4+16805^4=18477^4
(84)
11410^4+12430^4+12668^4+15365^4=18701^4
(85)
610^4+8355^4+15906^4+16560^4=19483^4
(86)
4460^4+9305^4+13940^4+17726^4=19493^4
(87)
5370^4+12772^4+13440^4+17595^4=19871^4
(88)
780^4+3090^4+12702^4+19255^4=20111^4
(89)
1090^4+8975^4+11980^4+19244^4=20131^4
(90)
1880^4+9579^4+10030^4+19670^4=20253^4
(91)
1660^4+7550^4+12969^4+19480^4=20469^4
(92)
11801^4+12140^4+13690^4+18100^4=20699^4
(93)
8720^4+8855^4+13970^4+19142^4=20719^4
(94)
3362^4+12070^4+16525^4+17740^4=21013^4
(95)
5420^4+5950^4+13915^4+24802^4=25427^4
(96)
8545^4+12860^4+16260^4+34178^4=34803^4
(97)
1840^4+30690^4+41000^4+89929^4=91179^4
(98)

Αναρτήθηκε από στις 22.3.11
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