帐号 自动登录 找回密码 密码 欢迎注册
 搜索

[讨论] 求x^2+1=y^2+z^2互异的正整数解，且满足

马上注册，结交更多好友，享用更多功能，让你轻松玩转社区。

x

\(x^2+1=y^2+z^2 \)移项，\((x+z)(x-z)=y^2-1  \)。

楼主| 发表于 2022-5-8 09:23:13 | 显示全部楼层
 程序写错了个地方。找到了(1068,1000,375)(13320,10000,8799)满足。大家当无事发生好了

 1 [1380, 1000, 951] 2 [1280, 1000, 799] 3 [1068, 1000, 375] 4 [1032, 1000, 255] 5 [1020, 1000, 201] 6 [13320, 10000, 8799] 7 [10532, 10000, 3305] 8 [10468, 10000, 3095] 9 [102020, 100000, 20201] 10 [310860, 300000, 81449] 11 [1362180, 1000000, 924951] 12 [1202840, 1000000, 668449] 13 [1113468, 1000000, 489705] 14 [1061068, 1000000, 354775] 15 [1037032, 1000000, 274655] 16 [1010832, 1000000, 147585] 17 [1005440, 1000000, 104449] 18 [1004460, 1000000, 94551] 19 [1000200, 1000000, 20001] 20 [10202020, 10000000, 2020201] 21 [122816400, 100000000, 71301249] 22 [120915032, 100000000, 67973855] 23 [109625668, 100000000, 44919785] 24 [1380952380, 1000000000, 952380951] 25 [1379050380, 1000000000, 949620951] 26 [1337308968, 1000000000, 887916255] 27 [1292397660, 1000000000, 818713449] 28 [1280800280, 1000000000, 800280799] 29 [1279202280, 1000000000, 797720799] 30 [1268342620, 1000000000, 780187799] 31 [1230440968, 1000000000, 716927455] 32 [1206991680, 1000000000, 675891201] 33 [1165932832, 1000000000, 599499265] 34 [1155141068, 1000000000, 578230825] 35 [1154260680, 1000000000, 576470049] 36 [1125498932, 1000000000, 516476375] 37 [1110464532, 1000000000, 482836905] 38 [1073653968, 1000000000, 390810495] 39 [1068376068, 1000000000, 376068375] 40 [1067626068, 1000000000, 373932375] 41 [1062378168, 1000000000, 358674465] 42 [1044959940, 1000000000, 303218199] 43 [1032256032, 1000000000, 256032255] 44 [1031746032, 1000000000, 253968255] 45 [1020202020, 1000000000, 202020201] 46 [1019800020, 1000000000, 199980201] 47 [1016392332, 1000000000, 181805865] 48 [1006783340, 1000000000, 116673449] 49 [1004814040, 1000000000, 98240801] 50 [1001282668, 1000000000, 50665385] 51 [1000002000, 1000000000, 2000001] 52 [10703064980, 10000000000, 3815180201] 53 [10194799968, 10000000000, 1983417855] 54 [10154815668, 10000000000, 1766431785] 55 [10148545040, 10000000000, 1730019199] 56 [10093343600, 10000000000, 1369519999] 57 [10008540940, 10000000000, 413390551] 58 [10003103568, 10000000000, 249160575] 59 [10002000200, 10000000000, 200020001] 60 [21207506468, 20000000000, 7053958505] 61 [20346557468, 20000000000, 3739304855]

 y=2******, [21207506468, 20000000000, 7053958505] [20346557468, 20000000000, 3739304855] y=3*****, [310860, 300000, 81449]

 您需要登录后才可以回帖 登录 | 欢迎注册 本版积分规则 回帖后跳转到最后一页

GMT+8, 2023-6-4 19:11 , Processed in 0.047668 second(s), 16 queries .