About 320 years ago, Pythagoras in ancient Greece discovered 220 and 284, which were the first blind date known to mankind. ? [3]?

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