Sayılarla ilgili sonsuz sayıda özellik vardır. Buradaki amaçlarımız; hem bunu hem de nasıl bulduğumuzu göstererek özellikle matematiksel programlama konusunda katkı sağlamaktır.
Bu defa; 100-1000 arasında ve şu özelliğe sahip sayılar buldum. (Yazdığım bilgisayar kodu en alttadır.)
x çarpma operatörü, a, b, c, d, e, f rakamlar ve (y1) (y2) (y3) bir sayı olmak üzere:
abc x def = (y1) (y2) (y3) iken cba x fed = (y3) (y2) (y1) olmaktadır.
102 x 103 = 10506 ; 201 x 301 = 60501 102 x 104 = 10608 ; 201 x 401 = 80601 102 x 112 = 11424 ; 201 x 211 = 42411 102 x 113 = 11526 ; 201 x 311 = 62511 102 x 114 = 11628 ; 201 x 411 = 82611 102 x 122 = 12444 ; 201 x 221 = 44421 102 x 123 = 12546 ; 201 x 321 = 64521 102 x 124 = 12648 ; 201 x 421 = 84621 102 x 132 = 13464 ; 201 x 231 = 46431 102 x 133 = 13566 ; 201 x 331 = 66531 102 x 134 = 13668 ; 201 x 431 = 86631 102 x 142 = 14484 ; 201 x 241 = 48441 102 x 143 = 14586 ; 201 x 341 = 68541 102 x 144 = 14688 ; 201 x 441 = 88641 102 x 201 = 20502 ; 201 x 102 = 20502 102 x 203 = 20706 ; 201 x 302 = 60702 102 x 204 = 20808 ; 201 x 402 = 80802 102 x 211 = 21522 ; 201 x 112 = 22512 102 x 213 = 21726 ; 201 x 312 = 62712 102 x 214 = 21828 ; 201 x 412 = 82812 102 x 221 = 22542 ; 201 x 122 = 24522 102 x 223 = 22746 ; 201 x 322 = 64722 102 x 224 = 22848 ; 201 x 422 = 84822 102 x 231 = 23562 ; 201 x 132 = 26532 102 x 233 = 23766 ; 201 x 332 = 66732 102 x 234 = 23868 ; 201 x 432 = 86832 102 x 241 = 24582 ; 201 x 142 = 28542 102 x 243 = 24786 ; 201 x 342 = 68742 102 x 244 = 24888 ; 201 x 442 = 88842 102 x 301 = 30702 ; 201 x 103 = 20703 102 x 302 = 30804 ; 201 x 203 = 40803 102 x 311 = 31722 ; 201 x 113 = 22713 102 x 312 = 31824 ; 201 x 213 = 42813 102 x 321 = 32742 ; 201 x 123 = 24723 102 x 322 = 32844 ; 201 x 223 = 44823 102 x 331 = 33762 ; 201 x 133 = 26733 102 x 332 = 33864 ; 201 x 233 = 46833 102 x 341 = 34782 ; 201 x 143 = 28743 102 x 342 = 34884 ; 201 x 243 = 48843 102 x 401 = 40902 ; 201 x 104 = 20904 102 x 411 = 41922 ; 201 x 114 = 22914 102 x 421 = 42942 ; 201 x 124 = 24924 102 x 431 = 43962 ; 201 x 134 = 26934 102 x 441 = 44982 ; 201 x 144 = 28944 103 x 102 = 10506 ; 301 x 201 = 60501 103 x 112 = 11536 ; 301 x 211 = 63511 103 x 113 = 11639 ; 301 x 311 = 93611 103 x 122 = 12566 ; 301 x 221 = 66521 103 x 123 = 12669 ; 301 x 321 = 96621 103 x 132 = 13596 ; 301 x 231 = 69531 103 x 133 = 13699 ; 301 x 331 = 99631 103 x 201 = 20703 ; 301 x 102 = 30702 103 x 203 = 20909 ; 301 x 302 = 90902 103 x 211 = 21733 ; 301 x 112 = 33712 103 x 213 = 21939 ; 301 x 312 = 93912 103 x 221 = 22763 ; 301 x 122 = 36722 103 x 223 = 22969 ; 301 x 322 = 96922 103 x 231 = 23793 ; 301 x 132 = 39732 103 x 233 = 23999 ; 301 x 332 = 99932 104 x 102 = 10608 ; 401 x 201 = 80601 104 x 112 = 11648 ; 401 x 211 = 84611 104 x 122 = 12688 ; 401 x 221 = 88621 104 x 201 = 20904 ; 401 x 102 = 40902 104 x 211 = 21944 ; 401 x 112 = 44912 104 x 221 = 22984 ; 401 x 122 = 48922 112 x 102 = 11424 ; 211 x 201 = 42411 112 x 103 = 11536 ; 211 x 301 = 63511 112 x 104 = 11648 ; 211 x 401 = 84611 112 x 113 = 12656 ; 211 x 311 = 65621 112 x 114 = 12768 ; 211 x 411 = 86721 112 x 122 = 13664 ; 211 x 221 = 46631 112 x 123 = 13776 ; 211 x 321 = 67731 112 x 124 = 13888 ; 211 x 421 = 88831 112 x 132 = 14784 ; 211 x 231 = 48741 112 x 133 = 14896 ; 211 x 331 = 69841 112 x 201 = 22512 ; 211 x 102 = 21522 112 x 203 = 22736 ; 211 x 302 = 63722 112 x 204 = 22848 ; 211 x 402 = 84822 112 x 211 = 23632 ; 211 x 112 = 23632 112 x 213 = 23856 ; 211 x 312 = 65832 112 x 214 = 23968 ; 211 x 412 = 86932 112 x 221 = 24752 ; 211 x 122 = 25742 112 x 223 = 24976 ; 211 x 322 = 67942 112 x 231 = 25872 ; 211 x 132 = 27852 112 x 241 = 26992 ; 211 x 142 = 29962 112 x 301 = 33712 ; 211 x 103 = 21733 112 x 302 = 33824 ; 211 x 203 = 42833 112 x 311 = 34832 ; 211 x 113 = 23843 112 x 312 = 34944 ; 211 x 213 = 44943 112 x 321 = 35952 ; 211 x 123 = 25953 112 x 401 = 44912 ; 211 x 104 = 21944 113 x 102 = 11526 ; 311 x 201 = 62511 113 x 103 = 11639 ; 311 x 301 = 93611 113 x 112 = 12656 ; 311 x 211 = 65621 113 x 122 = 13786 ; 311 x 221 = 68731 113 x 123 = 13899 ; 311 x 321 = 99831 113 x 201 = 22713 ; 311 x 102 = 31722 113 x 203 = 22939 ; 311 x 302 = 93922 113 x 211 = 23843 ; 311 x 112 = 34832 113 x 221 = 24973 ; 311 x 122 = 37942 114 x 102 = 11628 ; 411 x 201 = 82611 114 x 112 = 12768 ; 411 x 211 = 86721 114 x 201 = 22914 ; 411 x 102 = 41922 122 x 102 = 12444 ; 221 x 201 = 44421 122 x 103 = 12566 ; 221 x 301 = 66521 122 x 104 = 12688 ; 221 x 401 = 88621 122 x 112 = 13664 ; 221 x 211 = 46631 122 x 113 = 13786 ; 221 x 311 = 68731 122 x 201 = 24522 ; 221 x 102 = 22542 122 x 203 = 24766 ; 221 x 302 = 66742 122 x 204 = 24888 ; 221 x 402 = 88842 122 x 211 = 25742 ; 221 x 112 = 24752 122 x 213 = 25986 ; 221 x 312 = 68952 122 x 221 = 26962 ; 221 x 122 = 26962 122 x 301 = 36722 ; 221 x 103 = 22763 122 x 302 = 36844 ; 221 x 203 = 44863 122 x 311 = 37942 ; 221 x 113 = 24973 122 x 401 = 48922 ; 221 x 104 = 22984 123 x 102 = 12546 ; 321 x 201 = 64521 123 x 103 = 12669 ; 321 x 301 = 96621 123 x 112 = 13776 ; 321 x 211 = 67731 123 x 113 = 13899 ; 321 x 311 = 99831 123 x 201 = 24723 ; 321 x 102 = 32742 123 x 203 = 24969 ; 321 x 302 = 96942 123 x 211 = 25953 ; 321 x 112 = 35952 124 x 102 = 12648 ; 421 x 201 = 84621 124 x 112 = 13888 ; 421 x 211 = 88831 124 x 201 = 24924 ; 421 x 102 = 42942 132 x 102 = 13464 ; 231 x 201 = 46431 132 x 103 = 13596 ; 231 x 301 = 69531 132 x 112 = 14784 ; 231 x 211 = 48741 132 x 201 = 26532 ; 231 x 102 = 23562 132 x 203 = 26796 ; 231 x 302 = 69762 132 x 211 = 27852 ; 231 x 112 = 25872 132 x 301 = 39732 ; 231 x 103 = 23793 132 x 302 = 39864 ; 231 x 203 = 46893 133 x 102 = 13566 ; 331 x 201 = 66531 133 x 103 = 13699 ; 331 x 301 = 99631 133 x 112 = 14896 ; 331 x 211 = 69841 133 x 201 = 26733 ; 331 x 102 = 33762 133 x 203 = 26999 ; 331 x 302 = 99962 134 x 102 = 13668 ; 431 x 201 = 86631 134 x 201 = 26934 ; 431 x 102 = 43962 142 x 102 = 14484 ; 241 x 201 = 48441 142 x 201 = 28542 ; 241 x 102 = 24582 142 x 211 = 29962 ; 241 x 112 = 26992 143 x 102 = 14586 ; 341 x 201 = 68541 143 x 201 = 28743 ; 341 x 102 = 34782 144 x 102 = 14688 ; 441 x 201 = 88641 144 x 201 = 28944 ; 441 x 102 = 44982 201 x 102 = 20502 ; 102 x 201 = 20502 201 x 103 = 20703 ; 102 x 301 = 30702 201 x 104 = 20904 ; 102 x 401 = 40902 201 x 112 = 22512 ; 102 x 211 = 21522 201 x 113 = 22713 ; 102 x 311 = 31722 201 x 114 = 22914 ; 102 x 411 = 41922 201 x 122 = 24522 ; 102 x 221 = 22542 201 x 123 = 24723 ; 102 x 321 = 32742 201 x 124 = 24924 ; 102 x 421 = 42942 201 x 132 = 26532 ; 102 x 231 = 23562 201 x 133 = 26733 ; 102 x 331 = 33762 201 x 134 = 26934 ; 102 x 431 = 43962 201 x 142 = 28542 ; 102 x 241 = 24582 201 x 143 = 28743 ; 102 x 341 = 34782 201 x 144 = 28944 ; 102 x 441 = 44982 201 x 203 = 40803 ; 102 x 302 = 30804 201 x 211 = 42411 ; 102 x 112 = 11424 201 x 213 = 42813 ; 102 x 312 = 31824 201 x 221 = 44421 ; 102 x 122 = 12444 201 x 223 = 44823 ; 102 x 322 = 32844 201 x 231 = 46431 ; 102 x 132 = 13464 201 x 233 = 46833 ; 102 x 332 = 33864 201 x 241 = 48441 ; 102 x 142 = 14484 201 x 243 = 48843 ; 102 x 342 = 34884 201 x 301 = 60501 ; 102 x 103 = 10506 201 x 302 = 60702 ; 102 x 203 = 20706 201 x 311 = 62511 ; 102 x 113 = 11526 201 x 312 = 62712 ; 102 x 213 = 21726 201 x 321 = 64521 ; 102 x 123 = 12546 201 x 322 = 64722 ; 102 x 223 = 22746 201 x 331 = 66531 ; 102 x 133 = 13566 201 x 332 = 66732 ; 102 x 233 = 23766 201 x 341 = 68541 ; 102 x 143 = 14586 201 x 342 = 68742 ; 102 x 243 = 24786 201 x 401 = 80601 ; 102 x 104 = 10608 201 x 402 = 80802 ; 102 x 204 = 20808 201 x 411 = 82611 ; 102 x 114 = 11628 201 x 412 = 82812 ; 102 x 214 = 21828 201 x 421 = 84621 ; 102 x 124 = 12648 201 x 422 = 84822 ; 102 x 224 = 22848 201 x 431 = 86631 ; 102 x 134 = 13668 201 x 432 = 86832 ; 102 x 234 = 23868 201 x 441 = 88641 ; 102 x 144 = 14688 201 x 442 = 88842 ; 102 x 244 = 24888 203 x 102 = 20706 ; 302 x 201 = 60702 203 x 103 = 20909 ; 302 x 301 = 90902 203 x 112 = 22736 ; 302 x 211 = 63722 203 x 113 = 22939 ; 302 x 311 = 93922 203 x 122 = 24766 ; 302 x 221 = 66742 203 x 123 = 24969 ; 302 x 321 = 96942 203 x 132 = 26796 ; 302 x 231 = 69762 203 x 133 = 26999 ; 302 x 331 = 99962 203 x 201 = 40803 ; 302 x 102 = 30804 203 x 211 = 42833 ; 302 x 112 = 33824 203 x 221 = 44863 ; 302 x 122 = 36844 203 x 231 = 46893 ; 302 x 132 = 39864 204 x 102 = 20808 ; 402 x 201 = 80802 204 x 112 = 22848 ; 402 x 211 = 84822 204 x 122 = 24888 ; 402 x 221 = 88842 211 x 102 = 21522 ; 112 x 201 = 22512 211 x 103 = 21733 ; 112 x 301 = 33712 211 x 104 = 21944 ; 112 x 401 = 44912 211 x 112 = 23632 ; 112 x 211 = 23632 211 x 113 = 23843 ; 112 x 311 = 34832 211 x 122 = 25742 ; 112 x 221 = 24752 211 x 123 = 25953 ; 112 x 321 = 35952 211 x 132 = 27852 ; 112 x 231 = 25872 211 x 142 = 29962 ; 112 x 241 = 26992 211 x 201 = 42411 ; 112 x 102 = 11424 211 x 203 = 42833 ; 112 x 302 = 33824 211 x 213 = 44943 ; 112 x 312 = 34944 211 x 221 = 46631 ; 112 x 122 = 13664 211 x 231 = 48741 ; 112 x 132 = 14784 211 x 301 = 63511 ; 112 x 103 = 11536 211 x 302 = 63722 ; 112 x 203 = 22736 211 x 311 = 65621 ; 112 x 113 = 12656 211 x 312 = 65832 ; 112 x 213 = 23856 211 x 321 = 67731 ; 112 x 123 = 13776 211 x 322 = 67942 ; 112 x 223 = 24976 211 x 331 = 69841 ; 112 x 133 = 14896 211 x 401 = 84611 ; 112 x 104 = 11648 211 x 402 = 84822 ; 112 x 204 = 22848 211 x 411 = 86721 ; 112 x 114 = 12768 211 x 412 = 86932 ; 112 x 214 = 23968 211 x 421 = 88831 ; 112 x 124 = 13888 213 x 102 = 21726 ; 312 x 201 = 62712 213 x 103 = 21939 ; 312 x 301 = 93912 213 x 112 = 23856 ; 312 x 211 = 65832 213 x 122 = 25986 ; 312 x 221 = 68952 213 x 201 = 42813 ; 312 x 102 = 31824 213 x 211 = 44943 ; 312 x 112 = 34944 214 x 102 = 21828 ; 412 x 201 = 82812 214 x 112 = 23968 ; 412 x 211 = 86932 221 x 102 = 22542 ; 122 x 201 = 24522 221 x 103 = 22763 ; 122 x 301 = 36722 221 x 104 = 22984 ; 122 x 401 = 48922 221 x 112 = 24752 ; 122 x 211 = 25742 221 x 113 = 24973 ; 122 x 311 = 37942 221 x 122 = 26962 ; 122 x 221 = 26962 221 x 201 = 44421 ; 122 x 102 = 12444 221 x 203 = 44863 ; 122 x 302 = 36844 221 x 211 = 46631 ; 122 x 112 = 13664 221 x 301 = 66521 ; 122 x 103 = 12566 221 x 302 = 66742 ; 122 x 203 = 24766 221 x 311 = 68731 ; 122 x 113 = 13786 221 x 312 = 68952 ; 122 x 213 = 25986 221 x 401 = 88621 ; 122 x 104 = 12688 221 x 402 = 88842 ; 122 x 204 = 24888 223 x 102 = 22746 ; 322 x 201 = 64722 223 x 103 = 22969 ; 322 x 301 = 96922 223 x 112 = 24976 ; 322 x 211 = 67942 223 x 201 = 44823 ; 322 x 102 = 32844 224 x 102 = 22848 ; 422 x 201 = 84822 231 x 102 = 23562 ; 132 x 201 = 26532 231 x 103 = 23793 ; 132 x 301 = 39732 231 x 112 = 25872 ; 132 x 211 = 27852 231 x 201 = 46431 ; 132 x 102 = 13464 231 x 203 = 46893 ; 132 x 302 = 39864 231 x 211 = 48741 ; 132 x 112 = 14784 231 x 301 = 69531 ; 132 x 103 = 13596 231 x 302 = 69762 ; 132 x 203 = 26796 233 x 102 = 23766 ; 332 x 201 = 66732 233 x 103 = 23999 ; 332 x 301 = 99932 233 x 201 = 46833 ; 332 x 102 = 33864 234 x 102 = 23868 ; 432 x 201 = 86832 241 x 102 = 24582 ; 142 x 201 = 28542 241 x 112 = 26992 ; 142 x 211 = 29962 241 x 201 = 48441 ; 142 x 102 = 14484 243 x 102 = 24786 ; 342 x 201 = 68742 243 x 201 = 48843 ; 342 x 102 = 34884 244 x 102 = 24888 ; 442 x 201 = 88842 301 x 102 = 30702 ; 103 x 201 = 20703 301 x 112 = 33712 ; 103 x 211 = 21733 301 x 122 = 36722 ; 103 x 221 = 22763 301 x 132 = 39732 ; 103 x 231 = 23793 301 x 201 = 60501 ; 103 x 102 = 10506 301 x 211 = 63511 ; 103 x 112 = 11536 301 x 221 = 66521 ; 103 x 122 = 12566 301 x 231 = 69531 ; 103 x 132 = 13596 301 x 302 = 90902 ; 103 x 203 = 20909 301 x 311 = 93611 ; 103 x 113 = 11639 301 x 312 = 93912 ; 103 x 213 = 21939 301 x 321 = 96621 ; 103 x 123 = 12669 301 x 322 = 96922 ; 103 x 223 = 22969 301 x 331 = 99631 ; 103 x 133 = 13699 301 x 332 = 99932 ; 103 x 233 = 23999 302 x 102 = 30804 ; 203 x 201 = 40803 302 x 112 = 33824 ; 203 x 211 = 42833 302 x 122 = 36844 ; 203 x 221 = 44863 302 x 132 = 39864 ; 203 x 231 = 46893 302 x 201 = 60702 ; 203 x 102 = 20706 302 x 211 = 63722 ; 203 x 112 = 22736 302 x 221 = 66742 ; 203 x 122 = 24766 302 x 231 = 69762 ; 203 x 132 = 26796 302 x 301 = 90902 ; 203 x 103 = 20909 302 x 311 = 93922 ; 203 x 113 = 22939 302 x 321 = 96942 ; 203 x 123 = 24969 302 x 331 = 99962 ; 203 x 133 = 26999 311 x 102 = 31722 ; 113 x 201 = 22713 311 x 112 = 34832 ; 113 x 211 = 23843 311 x 122 = 37942 ; 113 x 221 = 24973 311 x 201 = 62511 ; 113 x 102 = 11526 311 x 211 = 65621 ; 113 x 112 = 12656 311 x 221 = 68731 ; 113 x 122 = 13786 311 x 301 = 93611 ; 113 x 103 = 11639 311 x 302 = 93922 ; 113 x 203 = 22939 311 x 321 = 99831 ; 113 x 123 = 13899 312 x 102 = 31824 ; 213 x 201 = 42813 312 x 112 = 34944 ; 213 x 211 = 44943 312 x 201 = 62712 ; 213 x 102 = 21726 312 x 211 = 65832 ; 213 x 112 = 23856 312 x 221 = 68952 ; 213 x 122 = 25986 312 x 301 = 93912 ; 213 x 103 = 21939 321 x 102 = 32742 ; 123 x 201 = 24723 321 x 112 = 35952 ; 123 x 211 = 25953 321 x 201 = 64521 ; 123 x 102 = 12546 321 x 211 = 67731 ; 123 x 112 = 13776 321 x 301 = 96621 ; 123 x 103 = 12669 321 x 302 = 96942 ; 123 x 203 = 24969 321 x 311 = 99831 ; 123 x 113 = 13899 322 x 102 = 32844 ; 223 x 201 = 44823 322 x 201 = 64722 ; 223 x 102 = 22746 322 x 211 = 67942 ; 223 x 112 = 24976 322 x 301 = 96922 ; 223 x 103 = 22969 331 x 102 = 33762 ; 133 x 201 = 26733 331 x 201 = 66531 ; 133 x 102 = 13566 331 x 211 = 69841 ; 133 x 112 = 14896 331 x 301 = 99631 ; 133 x 103 = 13699 331 x 302 = 99962 ; 133 x 203 = 26999 332 x 102 = 33864 ; 233 x 201 = 46833 332 x 201 = 66732 ; 233 x 102 = 23766 332 x 301 = 99932 ; 233 x 103 = 23999 341 x 102 = 34782 ; 143 x 201 = 28743 341 x 201 = 68541 ; 143 x 102 = 14586 342 x 102 = 34884 ; 243 x 201 = 48843 342 x 201 = 68742 ; 243 x 102 = 24786 401 x 102 = 40902 ; 104 x 201 = 20904 401 x 112 = 44912 ; 104 x 211 = 21944 401 x 122 = 48922 ; 104 x 221 = 22984 401 x 201 = 80601 ; 104 x 102 = 10608 401 x 211 = 84611 ; 104 x 112 = 11648 401 x 221 = 88621 ; 104 x 122 = 12688 402 x 201 = 80802 ; 204 x 102 = 20808 402 x 211 = 84822 ; 204 x 112 = 22848 402 x 221 = 88842 ; 204 x 122 = 24888 411 x 102 = 41922 ; 114 x 201 = 22914 411 x 201 = 82611 ; 114 x 102 = 11628 411 x 211 = 86721 ; 114 x 112 = 12768 412 x 201 = 82812 ; 214 x 102 = 21828 412 x 211 = 86932 ; 214 x 112 = 23968 421 x 102 = 42942 ; 124 x 201 = 24924 421 x 201 = 84621 ; 124 x 102 = 12648 421 x 211 = 88831 ; 124 x 112 = 13888 422 x 201 = 84822 ; 224 x 102 = 22848 431 x 102 = 43962 ; 134 x 201 = 26934 431 x 201 = 86631 ; 134 x 102 = 13668 432 x 201 = 86832 ; 234 x 102 = 23868 441 x 102 = 44982 ; 144 x 201 = 28944 441 x 201 = 88641 ; 144 x 102 = 14688 442 x 201 = 88842 ; 244 x 102 = 24888
Tüm sayılar bilgisayar tarafından 2 dakikada bulunmuştur. Bu hesaplamayı yapan yazdığım C# kodu:
[snippet id="539"] Ali Eskici
