Sihirli Sayılar - Tip 1

1-1001 Arasında ve şu özelliğe sahip sayılar buldum.
(Yazdığım bilgisayar kodu en alttadır.)

x çarpma operatörü, a, b, c, d, e, f rakamlar ve Y sihirli bir sayı olmak üzere:
abc x def = Y = cba x fed

****************************************
 12 x 42 = 504 = 21 x 24
 12 x 63 = 756 = 21 x 36
 12 x 84 = 1008 = 21 x 48
 12 x 231 = 2772 = 21 x 132
 12 x 462 = 5544 = 21 x 264
 12 x 693 = 8316 = 21 x 396
 13 x 62 = 806 = 31 x 26
 13 x 93 = 1209 = 31 x 39
 13 x 341 = 4433 = 31 x 143
 13 x 682 = 8866 = 31 x 286
 14 x 82 = 1148 = 41 x 28
 14 x 451 = 6314 = 41 x 154
 15 x 561 = 8415 = 51 x 165
 16 x 671 = 10736 = 61 x 176
 17 x 781 = 13277 = 71 x 187
 18 x 891 = 16038 = 81 x 198
 21 x 24 = 504 = 12 x 42
 21 x 36 = 756 = 12 x 63
 21 x 48 = 1008 = 12 x 84
 21 x 132 = 2772 = 12 x 231
 21 x 264 = 5544 = 12 x 462
 21 x 396 = 8316 = 12 x 693
 23 x 64 = 1472 = 32 x 46
 23 x 96 = 2208 = 32 x 69
 23 x 352 = 8096 = 32 x 253
 24 x 21 = 504 = 42 x 12
 24 x 63 = 1512 = 42 x 36
 24 x 84 = 2016 = 42 x 48
 24 x 231 = 5544 = 42 x 132
 24 x 462 = 11088 = 42 x 264
 24 x 693 = 16632 = 42 x 396
 25 x 572 = 14300 = 52 x 275
 26 x 31 = 806 = 62 x 13
 26 x 93 = 2418 = 62 x 39
 26 x 341 = 8866 = 62 x 143
 26 x 682 = 17732 = 62 x 286
 27 x 792 = 21384 = 72 x 297
 28 x 41 = 1148 = 82 x 14
 28 x 451 = 12628 = 82 x 154
 31 x 26 = 806 = 13 x 62
 31 x 39 = 1209 = 13 x 93
 31 x 143 = 4433 = 13 x 341
 31 x 286 = 8866 = 13 x 682
 32 x 46 = 1472 = 23 x 64
 32 x 69 = 2208 = 23 x 96
 32 x 253 = 8096 = 23 x 352
 34 x 86 = 2924 = 43 x 68
 34 x 473 = 16082 = 43 x 374
 35 x 583 = 20405 = 53 x 385
 36 x 21 = 756 = 63 x 12
 36 x 42 = 1512 = 63 x 24
 36 x 84 = 3024 = 63 x 48
 36 x 231 = 8316 = 63 x 132
 36 x 462 = 16632 = 63 x 264
 36 x 693 = 24948 = 63 x 396
 39 x 31 = 1209 = 93 x 13
 39 x 62 = 2418 = 93 x 26
 39 x 341 = 13299 = 93 x 143
 39 x 682 = 26598 = 93 x 286
 41 x 28 = 1148 = 14 x 82
 41 x 154 = 6314 = 14 x 451
 42 x 12 = 504 = 24 x 21
 42 x 36 = 1512 = 24 x 63
 42 x 48 = 2016 = 24 x 84
 42 x 132 = 5544 = 24 x 231
 42 x 264 = 11088 = 24 x 462
 42 x 396 = 16632 = 24 x 693
 43 x 68 = 2924 = 34 x 86
 43 x 374 = 16082 = 34 x 473
 45 x 594 = 26730 = 54 x 495
 46 x 32 = 1472 = 64 x 23
 46 x 96 = 4416 = 64 x 69
 46 x 352 = 16192 = 64 x 253
 48 x 21 = 1008 = 84 x 12
 48 x 42 = 2016 = 84 x 24
 48 x 63 = 3024 = 84 x 36
 48 x 231 = 11088 = 84 x 132
 48 x 462 = 22176 = 84 x 264
 48 x 693 = 33264 = 84 x 396
 51 x 165 = 8415 = 15 x 561
 52 x 275 = 14300 = 25 x 572
 53 x 385 = 20405 = 35 x 583
 54 x 495 = 26730 = 45 x 594
 61 x 176 = 10736 = 16 x 671
 62 x 13 = 806 = 26 x 31
 62 x 39 = 2418 = 26 x 93
 62 x 143 = 8866 = 26 x 341
 62 x 286 = 17732 = 26 x 682
 63 x 12 = 756 = 36 x 21
 63 x 24 = 1512 = 36 x 42
 63 x 48 = 3024 = 36 x 84
 63 x 132 = 8316 = 36 x 231
 63 x 264 = 16632 = 36 x 462
 63 x 396 = 24948 = 36 x 693
 64 x 23 = 1472 = 46 x 32
 64 x 69 = 4416 = 46 x 96
 64 x 253 = 16192 = 46 x 352
 68 x 43 = 2924 = 86 x 34
 68 x 473 = 32164 = 86 x 374
 69 x 32 = 2208 = 96 x 23
 69 x 64 = 4416 = 96 x 46
 69 x 352 = 24288 = 96 x 253
 71 x 187 = 13277 = 17 x 781
 72 x 297 = 21384 = 27 x 792
 81 x 198 = 16038 = 18 x 891
 82 x 14 = 1148 = 28 x 41
 82 x 154 = 12628 = 28 x 451
 84 x 12 = 1008 = 48 x 21
 84 x 24 = 2016 = 48 x 42
 84 x 36 = 3024 = 48 x 63
 84 x 132 = 11088 = 48 x 231
 84 x 264 = 22176 = 48 x 462
 84 x 396 = 33264 = 48 x 693
 86 x 34 = 2924 = 68 x 43
 86 x 374 = 32164 = 68 x 473
 93 x 13 = 1209 = 39 x 31
 93 x 26 = 2418 = 39 x 62
 93 x 143 = 13299 = 39 x 341
 93 x 286 = 26598 = 39 x 682
 96 x 23 = 2208 = 69 x 32
 96 x 46 = 4416 = 69 x 64
 96 x 253 = 24288 = 69 x 352
 102 x 402 = 41004 = 201 x 204
 102 x 603 = 61506 = 201 x 306
 102 x 804 = 82008 = 201 x 408
 103 x 602 = 62006 = 301 x 206
 103 x 903 = 93009 = 301 x 309
 104 x 802 = 83408 = 401 x 208
 112 x 422 = 47264 = 211 x 224
 112 x 633 = 70896 = 211 x 336
 112 x 844 = 94528 = 211 x 448
 113 x 622 = 70286 = 311 x 226
 113 x 933 = 105429 = 311 x 339
 114 x 822 = 93708 = 411 x 228
 122 x 442 = 53924 = 221 x 244
 122 x 663 = 80886 = 221 x 366
 122 x 884 = 107848 = 221 x 488
 123 x 642 = 78966 = 321 x 246
 123 x 963 = 118449 = 321 x 369
 124 x 842 = 104408 = 421 x 248
 132 x 21 = 2772 = 231 x 12
 132 x 42 = 5544 = 231 x 24
 132 x 63 = 8316 = 231 x 36
 132 x 84 = 11088 = 231 x 48
 132 x 462 = 60984 = 231 x 264
 132 x 693 = 91476 = 231 x 396
 133 x 662 = 88046 = 331 x 266
 133 x 993 = 132069 = 331 x 399
 134 x 862 = 115508 = 431 x 268
 142 x 482 = 68444 = 241 x 284
 143 x 31 = 4433 = 341 x 13
 143 x 62 = 8866 = 341 x 26
 143 x 93 = 13299 = 341 x 39
 143 x 682 = 97526 = 341 x 286
 144 x 882 = 127008 = 441 x 288
 154 x 41 = 6314 = 451 x 14
 154 x 82 = 12628 = 451 x 28
 165 x 51 = 8415 = 561 x 15
 176 x 61 = 10736 = 671 x 16
 187 x 71 = 13277 = 781 x 17
 198 x 81 = 16038 = 891 x 18
 201 x 204 = 41004 = 102 x 402
 201 x 306 = 61506 = 102 x 603
 201 x 408 = 82008 = 102 x 804
 203 x 604 = 122612 = 302 x 406
 203 x 906 = 183918 = 302 x 609
 204 x 201 = 41004 = 402 x 102
 204 x 603 = 123012 = 402 x 306
 204 x 804 = 164016 = 402 x 408
 206 x 301 = 62006 = 602 x 103
 206 x 903 = 186018 = 602 x 309
 208 x 401 = 83408 = 802 x 104
 211 x 224 = 47264 = 112 x 422
 211 x 336 = 70896 = 112 x 633
 211 x 448 = 94528 = 112 x 844
 213 x 624 = 132912 = 312 x 426
 213 x 936 = 199368 = 312 x 639
 214 x 824 = 176336 = 412 x 428
 221 x 244 = 53924 = 122 x 442
 221 x 366 = 80886 = 122 x 663
 221 x 488 = 107848 = 122 x 884
 223 x 644 = 143612 = 322 x 446
 223 x 966 = 215418 = 322 x 669
 224 x 211 = 47264 = 422 x 112
 224 x 633 = 141792 = 422 x 336
 224 x 844 = 189056 = 422 x 448
 226 x 311 = 70286 = 622 x 113
 226 x 933 = 210858 = 622 x 339
 228 x 411 = 93708 = 822 x 114
 231 x 12 = 2772 = 132 x 21
 231 x 24 = 5544 = 132 x 42
 231 x 36 = 8316 = 132 x 63
 231 x 48 = 11088 = 132 x 84
 231 x 264 = 60984 = 132 x 462
 231 x 396 = 91476 = 132 x 693
 233 x 664 = 154712 = 332 x 466
 233 x 996 = 232068 = 332 x 699
 234 x 864 = 202176 = 432 x 468
 241 x 284 = 68444 = 142 x 482
 243 x 684 = 166212 = 342 x 486
 244 x 221 = 53924 = 442 x 122
 244 x 663 = 161772 = 442 x 366
 244 x 884 = 215696 = 442 x 488
 246 x 321 = 78966 = 642 x 123
 246 x 963 = 236898 = 642 x 369
 248 x 421 = 104408 = 842 x 124
 253 x 32 = 8096 = 352 x 23
 253 x 64 = 16192 = 352 x 46
 253 x 96 = 24288 = 352 x 69
 264 x 21 = 5544 = 462 x 12
 264 x 42 = 11088 = 462 x 24
 264 x 63 = 16632 = 462 x 36
 264 x 84 = 22176 = 462 x 48
 264 x 231 = 60984 = 462 x 132
 264 x 693 = 182952 = 462 x 396
 266 x 331 = 88046 = 662 x 133
 266 x 993 = 264138 = 662 x 399
 268 x 431 = 115508 = 862 x 134
 275 x 52 = 14300 = 572 x 25
 284 x 241 = 68444 = 482 x 142
 286 x 31 = 8866 = 682 x 13
 286 x 62 = 17732 = 682 x 26
 286 x 93 = 26598 = 682 x 39
 286 x 341 = 97526 = 682 x 143
 288 x 441 = 127008 = 882 x 144
 297 x 72 = 21384 = 792 x 27
 301 x 206 = 62006 = 103 x 602
 301 x 309 = 93009 = 103 x 903
 302 x 406 = 122612 = 203 x 604
 302 x 609 = 183918 = 203 x 906
 304 x 806 = 245024 = 403 x 608
 306 x 201 = 61506 = 603 x 102
 306 x 402 = 123012 = 603 x 204
 306 x 804 = 246024 = 603 x 408
 309 x 301 = 93009 = 903 x 103
 309 x 602 = 186018 = 903 x 206
 311 x 226 = 70286 = 113 x 622
 311 x 339 = 105429 = 113 x 933
 312 x 426 = 132912 = 213 x 624
 312 x 639 = 199368 = 213 x 936
 314 x 826 = 259364 = 413 x 628
 321 x 246 = 78966 = 123 x 642
 321 x 369 = 118449 = 123 x 963
 322 x 446 = 143612 = 223 x 644
 322 x 669 = 215418 = 223 x 966
 324 x 846 = 274104 = 423 x 648
 331 x 266 = 88046 = 133 x 662
 331 x 399 = 132069 = 133 x 993
 332 x 466 = 154712 = 233 x 664
 332 x 699 = 232068 = 233 x 996
 334 x 866 = 289244 = 433 x 668
 336 x 211 = 70896 = 633 x 112
 336 x 422 = 141792 = 633 x 224
 336 x 844 = 283584 = 633 x 448
 339 x 311 = 105429 = 933 x 113
 339 x 622 = 210858 = 933 x 226
 341 x 13 = 4433 = 143 x 31
 341 x 26 = 8866 = 143 x 62
 341 x 39 = 13299 = 143 x 93
 341 x 286 = 97526 = 143 x 682
 342 x 486 = 166212 = 243 x 684
 344 x 886 = 304784 = 443 x 688
 352 x 23 = 8096 = 253 x 32
 352 x 46 = 16192 = 253 x 64
 352 x 69 = 24288 = 253 x 96
 366 x 221 = 80886 = 663 x 122
 366 x 442 = 161772 = 663 x 244
 366 x 884 = 323544 = 663 x 488
 369 x 321 = 118449 = 963 x 123
 369 x 642 = 236898 = 963 x 246
 374 x 43 = 16082 = 473 x 34
 374 x 86 = 32164 = 473 x 68
 385 x 53 = 20405 = 583 x 35
 396 x 21 = 8316 = 693 x 12
 396 x 42 = 16632 = 693 x 24
 396 x 63 = 24948 = 693 x 36
 396 x 84 = 33264 = 693 x 48
 396 x 231 = 91476 = 693 x 132
 396 x 462 = 182952 = 693 x 264
 399 x 331 = 132069 = 993 x 133
 399 x 662 = 264138 = 993 x 266
 401 x 208 = 83408 = 104 x 802
 402 x 102 = 41004 = 204 x 201
 402 x 306 = 123012 = 204 x 603
 402 x 408 = 164016 = 204 x 804
 403 x 608 = 245024 = 304 x 806
 406 x 302 = 122612 = 604 x 203
 406 x 906 = 367836 = 604 x 609
 408 x 201 = 82008 = 804 x 102
 408 x 402 = 164016 = 804 x 204
 408 x 603 = 246024 = 804 x 306
 411 x 228 = 93708 = 114 x 822
 412 x 428 = 176336 = 214 x 824
 413 x 628 = 259364 = 314 x 826
 421 x 248 = 104408 = 124 x 842
 422 x 112 = 47264 = 224 x 211
 422 x 336 = 141792 = 224 x 633
 422 x 448 = 189056 = 224 x 844
 423 x 648 = 274104 = 324 x 846
 426 x 312 = 132912 = 624 x 213
 426 x 936 = 398736 = 624 x 639
 428 x 412 = 176336 = 824 x 214
 431 x 268 = 115508 = 134 x 862
 432 x 468 = 202176 = 234 x 864
 433 x 668 = 289244 = 334 x 866
 441 x 288 = 127008 = 144 x 882
 442 x 122 = 53924 = 244 x 221
 442 x 366 = 161772 = 244 x 663
 442 x 488 = 215696 = 244 x 884
 443 x 688 = 304784 = 344 x 886
 446 x 322 = 143612 = 644 x 223
 446 x 966 = 430836 = 644 x 669
 448 x 211 = 94528 = 844 x 112
 448 x 422 = 189056 = 844 x 224
 448 x 633 = 283584 = 844 x 336
 451 x 14 = 6314 = 154 x 41
 451 x 28 = 12628 = 154 x 82
 462 x 12 = 5544 = 264 x 21
 462 x 24 = 11088 = 264 x 42
 462 x 36 = 16632 = 264 x 63
 462 x 48 = 22176 = 264 x 84
 462 x 132 = 60984 = 264 x 231
 462 x 396 = 182952 = 264 x 693
 466 x 332 = 154712 = 664 x 233
 466 x 996 = 464136 = 664 x 699
 468 x 432 = 202176 = 864 x 234
 473 x 34 = 16082 = 374 x 43
 473 x 68 = 32164 = 374 x 86
 482 x 142 = 68444 = 284 x 241
 486 x 342 = 166212 = 684 x 243
 488 x 221 = 107848 = 884 x 122
 488 x 442 = 215696 = 884 x 244
 488 x 663 = 323544 = 884 x 366
 495 x 54 = 26730 = 594 x 45
 561 x 15 = 8415 = 165 x 51
 572 x 25 = 14300 = 275 x 52
 583 x 35 = 20405 = 385 x 53
 594 x 45 = 26730 = 495 x 54
 602 x 103 = 62006 = 206 x 301
 602 x 309 = 186018 = 206 x 903
 603 x 102 = 61506 = 306 x 201
 603 x 204 = 123012 = 306 x 402
 603 x 408 = 246024 = 306 x 804
 604 x 203 = 122612 = 406 x 302
 604 x 609 = 367836 = 406 x 906
 608 x 403 = 245024 = 806 x 304
 609 x 302 = 183918 = 906 x 203
 609 x 604 = 367836 = 906 x 406
 622 x 113 = 70286 = 226 x 311
 622 x 339 = 210858 = 226 x 933
 624 x 213 = 132912 = 426 x 312
 624 x 639 = 398736 = 426 x 936
 628 x 413 = 259364 = 826 x 314
 633 x 112 = 70896 = 336 x 211
 633 x 224 = 141792 = 336 x 422
 633 x 448 = 283584 = 336 x 844
 639 x 312 = 199368 = 936 x 213
 639 x 624 = 398736 = 936 x 426
 642 x 123 = 78966 = 246 x 321
 642 x 369 = 236898 = 246 x 963
 644 x 223 = 143612 = 446 x 322
 644 x 669 = 430836 = 446 x 966
 648 x 423 = 274104 = 846 x 324
 662 x 133 = 88046 = 266 x 331
 662 x 399 = 264138 = 266 x 993
 663 x 122 = 80886 = 366 x 221
 663 x 244 = 161772 = 366 x 442
 663 x 488 = 323544 = 366 x 884
 664 x 233 = 154712 = 466 x 332
 664 x 699 = 464136 = 466 x 996
 668 x 433 = 289244 = 866 x 334
 669 x 322 = 215418 = 966 x 223
 669 x 644 = 430836 = 966 x 446
 671 x 16 = 10736 = 176 x 61
 682 x 13 = 8866 = 286 x 31
 682 x 26 = 17732 = 286 x 62
 682 x 39 = 26598 = 286 x 93
 682 x 143 = 97526 = 286 x 341
 684 x 243 = 166212 = 486 x 342
 688 x 443 = 304784 = 886 x 344
 693 x 12 = 8316 = 396 x 21
 693 x 24 = 16632 = 396 x 42
 693 x 36 = 24948 = 396 x 63
 693 x 48 = 33264 = 396 x 84
 693 x 132 = 91476 = 396 x 231
 693 x 264 = 182952 = 396 x 462
 699 x 332 = 232068 = 996 x 233
 699 x 664 = 464136 = 996 x 466
 781 x 17 = 13277 = 187 x 71
 792 x 27 = 21384 = 297 x 72
 802 x 104 = 83408 = 208 x 401
 804 x 102 = 82008 = 408 x 201
 804 x 204 = 164016 = 408 x 402
 804 x 306 = 246024 = 408 x 603
 806 x 304 = 245024 = 608 x 403
 822 x 114 = 93708 = 228 x 411
 824 x 214 = 176336 = 428 x 412
 826 x 314 = 259364 = 628 x 413
 842 x 124 = 104408 = 248 x 421
 844 x 112 = 94528 = 448 x 211
 844 x 224 = 189056 = 448 x 422
 844 x 336 = 283584 = 448 x 633
 846 x 324 = 274104 = 648 x 423
 862 x 134 = 115508 = 268 x 431
 864 x 234 = 202176 = 468 x 432
 866 x 334 = 289244 = 668 x 433
 882 x 144 = 127008 = 288 x 441
 884 x 122 = 107848 = 488 x 221
 884 x 244 = 215696 = 488 x 442
 884 x 366 = 323544 = 488 x 663
 886 x 344 = 304784 = 688 x 443
 891 x 18 = 16038 = 198 x 81
 903 x 103 = 93009 = 309 x 301
 903 x 206 = 186018 = 309 x 602
 906 x 203 = 183918 = 609 x 302
 906 x 406 = 367836 = 609 x 604
 933 x 113 = 105429 = 339 x 311
 933 x 226 = 210858 = 339 x 622
 936 x 213 = 199368 = 639 x 312
 936 x 426 = 398736 = 639 x 624
 963 x 123 = 118449 = 369 x 321
 963 x 246 = 236898 = 369 x 642
 966 x 223 = 215418 = 669 x 322
 966 x 446 = 430836 = 669 x 644
 993 x 133 = 132069 = 399 x 331
 993 x 266 = 264138 = 399 x 662
 996 x 233 = 232068 = 699 x 332
 996 x 466 = 464136 = 699 x 664
 
 
 ****************************************
 Tüm sayıları bilgisayar ~15 dakikada buldu.
 Bu hesaplamayı yapan C# kodu:

 private string terscevir(string met)
         {
             string met1 = "";
             for (int i = 1; i < = met.Length; i++)
             {
                 met1 += met.Substring(met.Length - i, 1);
             }
 
             return met1;
         }
 
         private void button1_Click(object sender, EventArgs e)
         {
             string c1 = "";
             string c2 = "";
             Single s1 = 0;
             Single s2 = 0;
             Single carpim = 0;
             string sonuc = "";
 
             for (int i = 1; i < 1001; i++)
             {
                 for (int j = 1; j < 1001; j++)
                 {
                     carpim = i * j;
                     c1 = i.ToString();
                     c2 = j.ToString();
 
                     c1 = terscevir(c1);
                     c2 = terscevir(c2);
 
                     s1 = Convert.ToSingle(c1);
                     s2 = Convert.ToSingle(c2);
 
                     if ((i != s1 || j != s2) && (i != s2 || j != s1))
                     {
                        if (s1 * s2 == carpim)
                         {
                             sonuc += i.ToString() + " x " + j.ToString() + " = " + carpim.ToString() + " = " + c1 + " x " + c2 + Environment.NewLine;
                         }
                     }
 
                 }
             }
 
             textBox1.Text = sonuc;
         }
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