Recently, Tian Chenggong, a mathematics enthusiast, used his self-created sh algorithm and the periodic table of numbers to calculate the factor 2 200022203-x of large numbers, of which 200022203 is a prime number. It is still very difficult to decompose large numbers using computers. Tian Chenggong said that if a large odd number of 60 million digits can find a single digit, it is difficult to find a two-digit factor, and it is impossible without the help of a mainframe computer. I use a regular home computer, and the key is to innovate. If the trial division method is used, an ordinary home server computer counts 5 minutes a number, and 100,000 numbers take 500,000 minutes, which takes 348 days, about 1 year;100,000 numbers are about 100,000 years. It takes 1 year to calculate 100,000 computers at the same time.
Myself**. The largest known prime number in the world is 2 82589933-1, this prime number has 24862048 digits, and the size of the computer Chinese file is 117052 pages printed out on 1M, A4 paper. 2 196936589-1, this large number has 59283821 digits, and the size of the computer Chinese file is 265M, 19,696 pages printed out on A4 paper. 2 200022203-1, this large number has 60212683 digits, and the size of the computer Chinese file is 269M, 20,003 pages printed out on A4 paper.
After calculation, Tian Chenggong came to the following:
2 200022203-8 partial factor: 2 3 * 3 * 5 3 * 11 * 17 * 29 * 31 * 41 * 43 * 71 * 101 * 113 * 127 * 251 * 281 * 401 * 601 * 701 * 1051 * 1801 * 2801 * 4051 * 8101 * 39551 * 61681 * 86171;
2 200022203-9 partial factor: 191 * 2729;
2 200022203-1357 partial factor: 71 * 431 * 2713 * 13291;
2 200022203-5387 partial factor: 3 2 * 7 4 * 11 2 * 211;
2 200022203-5401 partial factor: 7 * 5683 * 43151;
2 200022203-7151 partial factor: 3 3 * 7 2 * 47 * 227;
2 200022203-9757 partial factor: 13 * 6197;
2 200022203-10433 partial factor: 3 * 5 2 * 13 * 83 * 229 * 1439;
2 200022203-12028 partial factor: 2 2 * 5 * 53 * 379 * 601 * 1459;
2 200022203-15483 partial factor: 5 2 * 2081 * 7213;
2 200022203-18179 partial factor: 3 * 19 * 1373 * 14669 * 81077;
2 200022203-19193 partial factor: 3 3 * 5 * 2239 * 48023;
2 200022203-20598 partial factor: 2 * 5 * 7 * 23 * 29 * 71 * 89 * 1171;
2 200022203-23633 partial factor: 3 * 5 3 * 107 * 137;
2 200022203-25428 partial factor: 2 2 * 5 * 7 2 * 23 * 31 3 * 41 2 * 199 * 313 * 677 * 47237;
2 200022203-27259 partial factor: 17 * 2393;
2 200022203-29489 partial factor: 3 2 * 31 * 163;
2 200022203-31553 partial factor: 3 * 5 * 7 2 * 419 * 701;
2 200022203-32775 partial factor: 31 * 2287;
2 200022203-35307 partial factor: 11 * 4603;
2 200022203-37580 partial factor: 2 2 * 3 3 * 7 2 * 31 * 101 * 139 * 4787 * 83417;
2 200022203-39416 partial factor: 2 3 * 3 4 * 61 * 3919 * 20183;
2 200022203-39469 partial factor: 107 * 233 * 409;
2 200022203-40118 partial factor: 2 * 3 3 * 5 * 53 * 1307;
2 200022203-45007 partial factor: 7 * 17 * 839;
2 Part factor of 200022203-47573: 3 * 5 * 6173;
2 200022203-48641 partial factor: 3 * 29 * 43 * 811 * 1811;
2 200022203-49997 partial factor: 181 * 373;
2 200022203-50000 partial factor: 2 3 * 3 3 * 37 * 239;
2 200022203-50033 partial factor: 3 * 5 2 * 7 * 29 * 463 * 953 * 1249;
2 200022203-55115 partial factor: 7 * 19 * 479;
2 200022203-55185 partial factor: 7 * 11923;
2 200022203-57791 partial factor: 17 * 4217;
2 200022203-58949 partial factor: 13 * 4649;
2 200022203-58988 partial factor: 2 2 * 3 * 5 * 13 * 73 * 83;
2 200022203-59009 partial factor: 3 2 * 7297;
2 200022203-59675 partial factor: 3 * 19 * 23 * 53;
2 200022203-62517 partial factor: 17 * 47 * 89;
2 200022203-62590 partial factor: 53 * 1873;
2 200022203-64313 partial factor: 3 * 22787;
2 200022203-68487 partial factor: 31 * 2797;
2 200022203-68791 partial factor: 11 3 * 53;
2 200022203-69257 partial factor: 3 * 67 * 379;
2 200022203-72989 partial factor: 3 * 17 * 1471;
2 Part factor of 200022203-73007: 3 * 79 * 409;
2 200022203-75345 partial factor: 7 * 37 2 * 61 * 193 * 449;
2 200022203-76799 partial factor: 11 * 8011;
2 200022203-77279 partial factor: 3 * 29611 * 31393;
2 200022203-77351 partial factor: 3 3 * 29 * 127 * 653;
2 200022203-80888 partial factor: 2 3 * 3 3 * 5 * 73 * 383 * 2027;
2 200022203-81299 partial factor: 3 * 53 * 557;
2 200022203-86391 partial factor: 7 * 12973;
2 200022203-86477 partial factor: 3 * 41 * 131 * 743;
2 200022203-87233 partial factor: 3 * 5 2 * 1277;
2 200022203-87341 partial factor: 3 * 13 * 43 * 53;
2 200022203-88088 partial factor: 5 * 18229;
2 200022203-90500 partial factor: 2 * 3 * 7 2 * 317;
2 200022203-91055 partial factor: 3 * 31259;
2 200022203-93593 partial factor: 3 * 33107;
2 200022203-93291 partial factor: 99409;
2 200022203-94103 partial factor: 3 * 5 * 6599;
2 200022203-95441 partial factor: 59 * 1667;
2 200022203-95888 partial factor: 2 4 * 3 * 17 * 239 * 353;
2 200022203-96333 partial factor: 5 * 109 * 181;
2 200022203-97301 partial factor: 3 * 41 * 811;
2 200022203-97673 partial factor: 3 * 5 * 17 * 1931 * 6653;
2 200022203-97888 partial factor: 2 2 * 24683;
2 200022203-98259 partial factor: 283 * 349;
2 200022203-98533 partial factor: 5 * 19801;
2 200022203-99162 partial factor: 11 2 * 823;
2 200022203-99173 partial factor: 5 * 7 2 * 11 * 37;
The problem of decomposition of large numbers is still an important problem in the field of mathematical research, and he has a wide range of applications in the fields of cryptography and computer science.
At the same time, Tian Chenggong also wrote the article "Proving that the 3x+1 Problem is Not Valid" and discovered the periodic table of numerical success. Tian Chenggong said that according to the periodic law, some predictions and explorations can be made. The discovery of the periodic table is as profound and significant as the discovery of the periodic table.
The link is now published for the convenience of enthusiasts**, reference and exchange. Including "The Index of 200,000 Mersen Composite Numbers", "Proving that the 3x+1 Problem is Not True" in Chinese and English, and some data on the decomposition of large numbers. As follows:
Tian Chenggong also loves singing and calligraphy. He wrote the song "The Power of Seeds" and sang songs on TV many times. If you have purchased the author's calligraphy, you can contact us by email as a funding for its scientific research. Email: tianjun tcg@163com
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