Celočíselné Diofantové rovnice


Rovnica je lineárna Diofantova rovnica s kladnými koeficientami
Počet nájdených riešení je príliš veľký - zobrazujem prvých 500.
x1 = 1   y1 = 3295  
x2 = 4   y2 = 3293  
x3 = 7   y3 = 3291  
x4 = 10   y4 = 3289  
x5 = 13   y5 = 3287  
x6 = 16   y6 = 3285  
x7 = 19   y7 = 3283  
x8 = 22   y8 = 3281  
x9 = 25   y9 = 3279  
x10 = 28   y10 = 3277  
x11 = 31   y11 = 3275  
x12 = 34   y12 = 3273  
x13 = 37   y13 = 3271  
x14 = 40   y14 = 3269  
x15 = 43   y15 = 3267  
x16 = 46   y16 = 3265  
x17 = 49   y17 = 3263  
x18 = 52   y18 = 3261  
x19 = 55   y19 = 3259  
x20 = 58   y20 = 3257  
x21 = 61   y21 = 3255  
x22 = 64   y22 = 3253  
x23 = 67   y23 = 3251  
x24 = 70   y24 = 3249  
x25 = 73   y25 = 3247  
x26 = 76   y26 = 3245  
x27 = 79   y27 = 3243  
x28 = 82   y28 = 3241  
x29 = 85   y29 = 3239  
x30 = 88   y30 = 3237  
x31 = 91   y31 = 3235  
x32 = 94   y32 = 3233  
x33 = 97   y33 = 3231  
x34 = 100   y34 = 3229  
x35 = 103   y35 = 3227  
x36 = 106   y36 = 3225  
x37 = 109   y37 = 3223  
x38 = 112   y38 = 3221  
x39 = 115   y39 = 3219  
x40 = 118   y40 = 3217  
x41 = 121   y41 = 3215  
x42 = 124   y42 = 3213  
x43 = 127   y43 = 3211  
x44 = 130   y44 = 3209  
x45 = 133   y45 = 3207  
x46 = 136   y46 = 3205  
x47 = 139   y47 = 3203  
x48 = 142   y48 = 3201  
x49 = 145   y49 = 3199  
x50 = 148   y50 = 3197  
x51 = 151   y51 = 3195  
x52 = 154   y52 = 3193  
x53 = 157   y53 = 3191  
x54 = 160   y54 = 3189  
x55 = 163   y55 = 3187  
x56 = 166   y56 = 3185  
x57 = 169   y57 = 3183  
x58 = 172   y58 = 3181  
x59 = 175   y59 = 3179  
x60 = 178   y60 = 3177  
x61 = 181   y61 = 3175  
x62 = 184   y62 = 3173  
x63 = 187   y63 = 3171  
x64 = 190   y64 = 3169  
x65 = 193   y65 = 3167  
x66 = 196   y66 = 3165  
x67 = 199   y67 = 3163  
x68 = 202   y68 = 3161  
x69 = 205   y69 = 3159  
x70 = 208   y70 = 3157  
x71 = 211   y71 = 3155  
x72 = 214   y72 = 3153  
x73 = 217   y73 = 3151  
x74 = 220   y74 = 3149  
x75 = 223   y75 = 3147  
x76 = 226   y76 = 3145  
x77 = 229   y77 = 3143  
x78 = 232   y78 = 3141  
x79 = 235   y79 = 3139  
x80 = 238   y80 = 3137  
x81 = 241   y81 = 3135  
x82 = 244   y82 = 3133  
x83 = 247   y83 = 3131  
x84 = 250   y84 = 3129  
x85 = 253   y85 = 3127  
x86 = 256   y86 = 3125  
x87 = 259   y87 = 3123  
x88 = 262   y88 = 3121  
x89 = 265   y89 = 3119  
x90 = 268   y90 = 3117  
x91 = 271   y91 = 3115  
x92 = 274   y92 = 3113  
x93 = 277   y93 = 3111  
x94 = 280   y94 = 3109  
x95 = 283   y95 = 3107  
x96 = 286   y96 = 3105  
x97 = 289   y97 = 3103  
x98 = 292   y98 = 3101  
x99 = 295   y99 = 3099  
x100 = 298   y100 = 3097  
x101 = 301   y101 = 3095  
x102 = 304   y102 = 3093  
x103 = 307   y103 = 3091  
x104 = 310   y104 = 3089  
x105 = 313   y105 = 3087  
x106 = 316   y106 = 3085  
x107 = 319   y107 = 3083  
x108 = 322   y108 = 3081  
x109 = 325   y109 = 3079  
x110 = 328   y110 = 3077  
x111 = 331   y111 = 3075  
x112 = 334   y112 = 3073  
x113 = 337   y113 = 3071  
x114 = 340   y114 = 3069  
x115 = 343   y115 = 3067  
x116 = 346   y116 = 3065  
x117 = 349   y117 = 3063  
x118 = 352   y118 = 3061  
x119 = 355   y119 = 3059  
x120 = 358   y120 = 3057  
x121 = 361   y121 = 3055  
x122 = 364   y122 = 3053  
x123 = 367   y123 = 3051  
x124 = 370   y124 = 3049  
x125 = 373   y125 = 3047  
x126 = 376   y126 = 3045  
x127 = 379   y127 = 3043  
x128 = 382   y128 = 3041  
x129 = 385   y129 = 3039  
x130 = 388   y130 = 3037  
x131 = 391   y131 = 3035  
x132 = 394   y132 = 3033  
x133 = 397   y133 = 3031  
x134 = 400   y134 = 3029  
x135 = 403   y135 = 3027  
x136 = 406   y136 = 3025  
x137 = 409   y137 = 3023  
x138 = 412   y138 = 3021  
x139 = 415   y139 = 3019  
x140 = 418   y140 = 3017  
x141 = 421   y141 = 3015  
x142 = 424   y142 = 3013  
x143 = 427   y143 = 3011  
x144 = 430   y144 = 3009  
x145 = 433   y145 = 3007  
x146 = 436   y146 = 3005  
x147 = 439   y147 = 3003  
x148 = 442   y148 = 3001  
x149 = 445   y149 = 2999  
x150 = 448   y150 = 2997  
x151 = 451   y151 = 2995  
x152 = 454   y152 = 2993  
x153 = 457   y153 = 2991  
x154 = 460   y154 = 2989  
x155 = 463   y155 = 2987  
x156 = 466   y156 = 2985  
x157 = 469   y157 = 2983  
x158 = 472   y158 = 2981  
x159 = 475   y159 = 2979  
x160 = 478   y160 = 2977  
x161 = 481   y161 = 2975  
x162 = 484   y162 = 2973  
x163 = 487   y163 = 2971  
x164 = 490   y164 = 2969  
x165 = 493   y165 = 2967  
x166 = 496   y166 = 2965  
x167 = 499   y167 = 2963  
x168 = 502   y168 = 2961  
x169 = 505   y169 = 2959  
x170 = 508   y170 = 2957  
x171 = 511   y171 = 2955  
x172 = 514   y172 = 2953  
x173 = 517   y173 = 2951  
x174 = 520   y174 = 2949  
x175 = 523   y175 = 2947  
x176 = 526   y176 = 2945  
x177 = 529   y177 = 2943  
x178 = 532   y178 = 2941  
x179 = 535   y179 = 2939  
x180 = 538   y180 = 2937  
x181 = 541   y181 = 2935  
x182 = 544   y182 = 2933  
x183 = 547   y183 = 2931  
x184 = 550   y184 = 2929  
x185 = 553   y185 = 2927  
x186 = 556   y186 = 2925  
x187 = 559   y187 = 2923  
x188 = 562   y188 = 2921  
x189 = 565   y189 = 2919  
x190 = 568   y190 = 2917  
x191 = 571   y191 = 2915  
x192 = 574   y192 = 2913  
x193 = 577   y193 = 2911  
x194 = 580   y194 = 2909  
x195 = 583   y195 = 2907  
x196 = 586   y196 = 2905  
x197 = 589   y197 = 2903  
x198 = 592   y198 = 2901  
x199 = 595   y199 = 2899  
x200 = 598   y200 = 2897  
x201 = 601   y201 = 2895  
x202 = 604   y202 = 2893  
x203 = 607   y203 = 2891  
x204 = 610   y204 = 2889  
x205 = 613   y205 = 2887  
x206 = 616   y206 = 2885  
x207 = 619   y207 = 2883  
x208 = 622   y208 = 2881  
x209 = 625   y209 = 2879  
x210 = 628   y210 = 2877  
x211 = 631   y211 = 2875  
x212 = 634   y212 = 2873  
x213 = 637   y213 = 2871  
x214 = 640   y214 = 2869  
x215 = 643   y215 = 2867  
x216 = 646   y216 = 2865  
x217 = 649   y217 = 2863  
x218 = 652   y218 = 2861  
x219 = 655   y219 = 2859  
x220 = 658   y220 = 2857  
x221 = 661   y221 = 2855  
x222 = 664   y222 = 2853  
x223 = 667   y223 = 2851  
x224 = 670   y224 = 2849  
x225 = 673   y225 = 2847  
x226 = 676   y226 = 2845  
x227 = 679   y227 = 2843  
x228 = 682   y228 = 2841  
x229 = 685   y229 = 2839  
x230 = 688   y230 = 2837  
x231 = 691   y231 = 2835  
x232 = 694   y232 = 2833  
x233 = 697   y233 = 2831  
x234 = 700   y234 = 2829  
x235 = 703   y235 = 2827  
x236 = 706   y236 = 2825  
x237 = 709   y237 = 2823  
x238 = 712   y238 = 2821  
x239 = 715   y239 = 2819  
x240 = 718   y240 = 2817  
x241 = 721   y241 = 2815  
x242 = 724   y242 = 2813  
x243 = 727   y243 = 2811  
x244 = 730   y244 = 2809  
x245 = 733   y245 = 2807  
x246 = 736   y246 = 2805  
x247 = 739   y247 = 2803  
x248 = 742   y248 = 2801  
x249 = 745   y249 = 2799  
x250 = 748   y250 = 2797  
x251 = 751   y251 = 2795  
x252 = 754   y252 = 2793  
x253 = 757   y253 = 2791  
x254 = 760   y254 = 2789  
x255 = 763   y255 = 2787  
x256 = 766   y256 = 2785  
x257 = 769   y257 = 2783  
x258 = 772   y258 = 2781  
x259 = 775   y259 = 2779  
x260 = 778   y260 = 2777  
x261 = 781   y261 = 2775  
x262 = 784   y262 = 2773  
x263 = 787   y263 = 2771  
x264 = 790   y264 = 2769  
x265 = 793   y265 = 2767  
x266 = 796   y266 = 2765  
x267 = 799   y267 = 2763  
x268 = 802   y268 = 2761  
x269 = 805   y269 = 2759  
x270 = 808   y270 = 2757  
x271 = 811   y271 = 2755  
x272 = 814   y272 = 2753  
x273 = 817   y273 = 2751  
x274 = 820   y274 = 2749  
x275 = 823   y275 = 2747  
x276 = 826   y276 = 2745  
x277 = 829   y277 = 2743  
x278 = 832   y278 = 2741  
x279 = 835   y279 = 2739  
x280 = 838   y280 = 2737  
x281 = 841   y281 = 2735  
x282 = 844   y282 = 2733  
x283 = 847   y283 = 2731  
x284 = 850   y284 = 2729  
x285 = 853   y285 = 2727  
x286 = 856   y286 = 2725  
x287 = 859   y287 = 2723  
x288 = 862   y288 = 2721  
x289 = 865   y289 = 2719  
x290 = 868   y290 = 2717  
x291 = 871   y291 = 2715  
x292 = 874   y292 = 2713  
x293 = 877   y293 = 2711  
x294 = 880   y294 = 2709  
x295 = 883   y295 = 2707  
x296 = 886   y296 = 2705  
x297 = 889   y297 = 2703  
x298 = 892   y298 = 2701  
x299 = 895   y299 = 2699  
x300 = 898   y300 = 2697  
x301 = 901   y301 = 2695  
x302 = 904   y302 = 2693  
x303 = 907   y303 = 2691  
x304 = 910   y304 = 2689  
x305 = 913   y305 = 2687  
x306 = 916   y306 = 2685  
x307 = 919   y307 = 2683  
x308 = 922   y308 = 2681  
x309 = 925   y309 = 2679  
x310 = 928   y310 = 2677  
x311 = 931   y311 = 2675  
x312 = 934   y312 = 2673  
x313 = 937   y313 = 2671  
x314 = 940   y314 = 2669  
x315 = 943   y315 = 2667  
x316 = 946   y316 = 2665  
x317 = 949   y317 = 2663  
x318 = 952   y318 = 2661  
x319 = 955   y319 = 2659  
x320 = 958   y320 = 2657  
x321 = 961   y321 = 2655  
x322 = 964   y322 = 2653  
x323 = 967   y323 = 2651  
x324 = 970   y324 = 2649  
x325 = 973   y325 = 2647  
x326 = 976   y326 = 2645  
x327 = 979   y327 = 2643  
x328 = 982   y328 = 2641  
x329 = 985   y329 = 2639  
x330 = 988   y330 = 2637  
x331 = 991   y331 = 2635  
x332 = 994   y332 = 2633  
x333 = 997   y333 = 2631  
x334 = 1000   y334 = 2629  
x335 = 1003   y335 = 2627  
x336 = 1006   y336 = 2625  
x337 = 1009   y337 = 2623  
x338 = 1012   y338 = 2621  
x339 = 1015   y339 = 2619  
x340 = 1018   y340 = 2617  
x341 = 1021   y341 = 2615  
x342 = 1024   y342 = 2613  
x343 = 1027   y343 = 2611  
x344 = 1030   y344 = 2609  
x345 = 1033   y345 = 2607  
x346 = 1036   y346 = 2605  
x347 = 1039   y347 = 2603  
x348 = 1042   y348 = 2601  
x349 = 1045   y349 = 2599  
x350 = 1048   y350 = 2597  
x351 = 1051   y351 = 2595  
x352 = 1054   y352 = 2593  
x353 = 1057   y353 = 2591  
x354 = 1060   y354 = 2589  
x355 = 1063   y355 = 2587  
x356 = 1066   y356 = 2585  
x357 = 1069   y357 = 2583  
x358 = 1072   y358 = 2581  
x359 = 1075   y359 = 2579  
x360 = 1078   y360 = 2577  
x361 = 1081   y361 = 2575  
x362 = 1084   y362 = 2573  
x363 = 1087   y363 = 2571  
x364 = 1090   y364 = 2569  
x365 = 1093   y365 = 2567  
x366 = 1096   y366 = 2565  
x367 = 1099   y367 = 2563  
x368 = 1102   y368 = 2561  
x369 = 1105   y369 = 2559  
x370 = 1108   y370 = 2557  
x371 = 1111   y371 = 2555  
x372 = 1114   y372 = 2553  
x373 = 1117   y373 = 2551  
x374 = 1120   y374 = 2549  
x375 = 1123   y375 = 2547  
x376 = 1126   y376 = 2545  
x377 = 1129   y377 = 2543  
x378 = 1132   y378 = 2541  
x379 = 1135   y379 = 2539  
x380 = 1138   y380 = 2537  
x381 = 1141   y381 = 2535  
x382 = 1144   y382 = 2533  
x383 = 1147   y383 = 2531  
x384 = 1150   y384 = 2529  
x385 = 1153   y385 = 2527  
x386 = 1156   y386 = 2525  
x387 = 1159   y387 = 2523  
x388 = 1162   y388 = 2521  
x389 = 1165   y389 = 2519  
x390 = 1168   y390 = 2517  
x391 = 1171   y391 = 2515  
x392 = 1174   y392 = 2513  
x393 = 1177   y393 = 2511  
x394 = 1180   y394 = 2509  
x395 = 1183   y395 = 2507  
x396 = 1186   y396 = 2505  
x397 = 1189   y397 = 2503  
x398 = 1192   y398 = 2501  
x399 = 1195   y399 = 2499  
x400 = 1198   y400 = 2497  
x401 = 1201   y401 = 2495  
x402 = 1204   y402 = 2493  
x403 = 1207   y403 = 2491  
x404 = 1210   y404 = 2489  
x405 = 1213   y405 = 2487  
x406 = 1216   y406 = 2485  
x407 = 1219   y407 = 2483  
x408 = 1222   y408 = 2481  
x409 = 1225   y409 = 2479  
x410 = 1228   y410 = 2477  
x411 = 1231   y411 = 2475  
x412 = 1234   y412 = 2473  
x413 = 1237   y413 = 2471  
x414 = 1240   y414 = 2469  
x415 = 1243   y415 = 2467  
x416 = 1246   y416 = 2465  
x417 = 1249   y417 = 2463  
x418 = 1252   y418 = 2461  
x419 = 1255   y419 = 2459  
x420 = 1258   y420 = 2457  
x421 = 1261   y421 = 2455  
x422 = 1264   y422 = 2453  
x423 = 1267   y423 = 2451  
x424 = 1270   y424 = 2449  
x425 = 1273   y425 = 2447  
x426 = 1276   y426 = 2445  
x427 = 1279   y427 = 2443  
x428 = 1282   y428 = 2441  
x429 = 1285   y429 = 2439  
x430 = 1288   y430 = 2437  
x431 = 1291   y431 = 2435  
x432 = 1294   y432 = 2433  
x433 = 1297   y433 = 2431  
x434 = 1300   y434 = 2429  
x435 = 1303   y435 = 2427  
x436 = 1306   y436 = 2425  
x437 = 1309   y437 = 2423  
x438 = 1312   y438 = 2421  
x439 = 1315   y439 = 2419  
x440 = 1318   y440 = 2417  
x441 = 1321   y441 = 2415  
x442 = 1324   y442 = 2413  
x443 = 1327   y443 = 2411  
x444 = 1330   y444 = 2409  
x445 = 1333   y445 = 2407  
x446 = 1336   y446 = 2405  
x447 = 1339   y447 = 2403  
x448 = 1342   y448 = 2401  
x449 = 1345   y449 = 2399  
x450 = 1348   y450 = 2397  
x451 = 1351   y451 = 2395  
x452 = 1354   y452 = 2393  
x453 = 1357   y453 = 2391  
x454 = 1360   y454 = 2389  
x455 = 1363   y455 = 2387  
x456 = 1366   y456 = 2385  
x457 = 1369   y457 = 2383  
x458 = 1372   y458 = 2381  
x459 = 1375   y459 = 2379  
x460 = 1378   y460 = 2377  
x461 = 1381   y461 = 2375  
x462 = 1384   y462 = 2373  
x463 = 1387   y463 = 2371  
x464 = 1390   y464 = 2369  
x465 = 1393   y465 = 2367  
x466 = 1396   y466 = 2365  
x467 = 1399   y467 = 2363  
x468 = 1402   y468 = 2361  
x469 = 1405   y469 = 2359  
x470 = 1408   y470 = 2357  
x471 = 1411   y471 = 2355  
x472 = 1414   y472 = 2353  
x473 = 1417   y473 = 2351  
x474 = 1420   y474 = 2349  
x475 = 1423   y475 = 2347  
x476 = 1426   y476 = 2345  
x477 = 1429   y477 = 2343  
x478 = 1432   y478 = 2341  
x479 = 1435   y479 = 2339  
x480 = 1438   y480 = 2337  
x481 = 1441   y481 = 2335  
x482 = 1444   y482 = 2333  
x483 = 1447   y483 = 2331  
x484 = 1450   y484 = 2329  
x485 = 1453   y485 = 2327  
x486 = 1456   y486 = 2325  
x487 = 1459   y487 = 2323  
x488 = 1462   y488 = 2321  
x489 = 1465   y489 = 2319  
x490 = 1468   y490 = 2317  
x491 = 1471   y491 = 2315  
x492 = 1474   y492 = 2313  
x493 = 1477   y493 = 2311  
x494 = 1480   y494 = 2309  
x495 = 1483   y495 = 2307  
x496 = 1486   y496 = 2305  
x497 = 1489   y497 = 2303  
x498 = 1492   y498 = 2301  
x499 = 1495   y499 = 2299  
x500 = 1498   y500 = 2297  

Rovnice píšte každú na nový riadok alebo oddelujte bodkočiarkou. Neznáme (premenné) označte jedným písmenom a-z napr. a,b alebo x,y,z apod. Diofantická rovnice (niekedy tiež diofantovská) v matematike je neurčitá polynomiálnej rovnica, ktorá dovoľuje premenlivým mať len hodnoty z odboru celých čísel. Diofantovské problémy majú menej rovníc než neznámych premenných a zahŕňajú nájdenie celých čísel, ktoré sú riešením pre všetky rovnice sústavy.

Príklady diofantových rovníc a problémov:

 ab=12
 5x+7y=144
8x=27y+38
54=ab
90=bc
(((x-1)*2/3-1)*2/3-1)*2/3=y