About 850 years ago, Tabbert Ben Cora, an Arab mathematician, discovered the formula of blind date number, which was later called Tabbert Ben Cora's law.
1636, Fermat found another pair of blind dates: 17296 and 184 16.
1638, Descartes also found a pair of blind date objects: 9363584 and 9437056.
Euler also studied the topic of the number of blind dates. 1750, he threw 60 pairs of blind date objects to the public in one breath: 2620 and 2924, 5020 and 5564, 6232 and 6368, …, which caused a sensation.
1866, 16-year-old Italian youth Bargeny found that 1 184 and 12 10 were the second blind date, only slightly older than 220 and 284.
At present, people have found more than12,000,000 pairs of blind date objects. However, whether there are infinite pairs of blind date objects, whether the two numbers of blind date objects are both odd or even, whether there are odd or even numbers and so on. These problems remain to be discussed.
First, it is found that 220 and 284 are a pair of affinity numbers. In the next 1500 years, many mathematicians in the world devoted themselves to exploring affinity numbers. Facing the vast sea, this is undoubtedly looking for a needle in a haystack. Although generations have been thinking hard, some people have even devoted their lives to it, but they have never found anything. In the 9th century A.D., the Iraqi philosopher, physician, astronomer and physicist Tibit Ibunkura put forward a law for finding affinity numbers. Because his formula is complicated and difficult to operate, it is difficult to distinguish between true and false, and it has not brought surprises to people or got out of the predicament. Mathematicians still haven't found the second pair of affinity numbers. It was not until P. de Fermat (1601-kloc-0/665) that another pair of affinity numbers was found: 17296 and 184 16.
In the16th century, people thought that there were only this pair of affinity numbers in natural numbers. Some boring people even add superstition or mystery to the number of relatives and make up many fairy tales. It is also publicized that this affinity number plays an important role in magic, magic, astrology, divination and so on.
Euler used a new method to divide affinity numbers into five types for discussion. Euler's superhuman mathematical thinking has solved the problem that has held people back for more than 2500 years, which has amazed mathematicians.
Time passed in 120. In 1867, an Italian middle school student (Bargeny) aged 16 was fond of thinking and diligent in calculation, and even found the omission of Euler, the master of mathematics-let his little relatives be1/kloc-0 respectively. This dramatic discovery fascinated mathematicians.
Among these found affinity numbers, people find that fewer and fewer affinity numbers are found and more and more digits are found. At the same time, mathematicians also found that the greater the value of a pair of affinity numbers, the closer the ratio of these two numbers is to 1. Is this the law of affinity? People are looking forward to the final conclusion.
After the birth of the electronic computer, the history of finding affinity numbers by manual calculation ended. Someone looked up all the numbers below 1 million on the computer and found 42 pairs of affinity numbers. Only 1 3 pairs of affinity numbers were found for the numbers below1million.
It is also found that every odd affinity number has 3, 5 and 7 as prime factors. In 1968, P.Bratley and J.Mckay proposed that all odd affinity numbers can be divisible by 3. 1988, Battiato and W.Borho used computers to find odd affinity numbers that were not divisible by 3, thus overthrowing Bradley's conjecture. He found 15 pairs of odd numbers that are not divisible by 3. The smallest pair is: a = s *140453 * 85857199 and b=s*56099*2 14955207, where s = 54 * 73 *1/kloc-. 107. Multiply by factors A = 353804384424601839650460782130625 and B = 353808169683/kloc-0.
As early as the 9th century, Arab scholar TabitibnQorra put forward a formula for constructing affinity numbers:
Let A = 3 * 2 (x- 1)- 1, B = 3 * 2 x- 1, and C = 9 * 2 (2x- 1)- 1, where x is greater than 65438. Then 2*x*ab and 2 * x * C are a pair of affinity numbers.
For example, if x=2, a = 5, b = 1 1 and c = 7 1, then 2*2*5* 1 1=220, 2 * 2 * 7/kloc.
List of kinship numbers:
ans =220 284
ans = 1 184 12 10
ans =2620 2924
ans =5020 5564
ans =6232 6368
ans = 10744 10856
ans = 12285 14595
ans = 17296 184 16
ans =63020 76084
ans =66928 66992
ans =67095 7 1 145
ans =696 15 87633
ans =79750 88730
ans = 100485 124 155
ans = 122265 1398 15
ans = 122368 123 152
ans = 14 1664 153 176
ans = 1423 10 168730
ans = 17 1856 176336
ans = 176272 180848
ans = 185368 203432
ans = 196724 202444
ans =280540 365084
ans =308620 389924
ans =3 19550 430402
ans =356408 399592
ans =437456 455344
ans =469028 486 178
ans =503056 5 14736
ans =522405 5259 15
ans =600392 669688
ans =609928 686072
ans =624 184 69 1256
ans =635624 7 122 16
ans =643336 652664
ans =667964 783556
ans =726 104 796696
ans =802725 863835
ans =8797 12 90 1424
ans =8982 16 980984
ans =947835 1 125765
ans =998 104 1043096
ans = 1077890 1099390
ans = 1 154450 1 189 150
ans = 1 156870 1292570
ans = 1 175265 1438983
ans = 1 185376 1286744
ans = 1280565 1340235
ans = 1328470 1483850
ans = 1358595 1486845
ans = 1392368 1464592
ans = 1466 150 1747930
ans = 1468324 17492 12
ans = 15 1 1930 1598470
ans = 16699 10 2062570
ans = 1798875 1870245
ans =2082464 2090656
ans =2236570 2429030
ans =2652728 294 1672
ans =2723792 2874064
ans =2728726 3077354
ans =2739704 2928 136
ans =28024 16 29472 16
ans =2803580 37 16 164
ans =3276856 372 1544
ans =3606850 3892670
ans =3786904 4300 136
ans =3805264 4006736
ans =4238984 43 146 16
ans =4246 130 44889 10
ans =4259750 4445050
ans =4482765 5 120595
ans =45327 10 6 135962
ans =4604776 5 162744
ans = 5 123090 5504 1 10
ans =5 147032 5843048
ans =52320 10 5799542
ans =5357625 5684679
ans = 53853 10 58 12 130
ans =5459 176 5495264
ans =5726072 6369928
ans =57306 15 6088905
ans =5864660 7489324
ans =63294 16 637 1384
ans =6377 175 6680025
ans =69552 16 74 18864
ans = 69936 10 7 1587 10
ans =7275532 747 1508
ans =7288930 822 1598
ans =7489 1 12 7674088
ans =7577350 8493050
ans =7677248 7684672
ans =7800544 79 16696
ans =78505 12 8052488
ans =8262 136 8369864
ans =86 19765 96279 15
ans =8666860 10638356
ans = 8754 130 10893230
ans =8826070 10043690
ans =907 1685 9498555
ans =9 199496 9592504
ans = 9206925 1079 1795
ans =9339704 9892936
ans =9363584 9437056
ans = 94789 10 1 1049730
ans = 949 1625 109506 15
ans =9660950 10025290
ans = 9773505 1 179 1935
ans = 10254970 10273670
ans = 10533296 10949704
ans = 10572550 10854650
ans = 10596368 1 1 199 1 12
ans = 10634085 14084763
ans = 10992735 12070305
ans = 1 1 173460 132 12076
ans = 1 1252648 12 10 1272
ans = 1 1498355 12024045
ans = 1 15456 16 12247504
ans = 1 1693290 1236 1622
ans = 1 1905504 13337336
ans = 12397552 13 136528
ans = 12707704 14236 136