Prime Number Conspiracy and The Last-Digit Pattern

in #mathematics7 years ago (edited)

Before the discussion, we need to know who is the prime number? If there is a greater number than 1 which is completely divisible by that number and 1, then it is called the prime number.

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Just understand the meaning of a completely divisible meaning. If I say, 'A' is completely divisible by 'B', that means that the distribution of 'A' by 'B' is zero;

The basic number is called "forming craftsman" in mathematics. Because of that, any number greater than 1 is the prime number, or the product of multiple prime numbers.
For example, if we talked about 84.
84 = 2 * 2 * 3 * 7 ...... So notice that 2, 3, 7 is the prime number.

Among the many wonders of math, the prime number is one of the main ones. Mathematicians have found a great deal to find the pattern of these prime numbers, and they are still trying.

In the case of joint odd numbers, the sequence can be seen - adding 2 to any pair or odd number, respectively, the subsequent even or odd number is found. However, in such a case of a prime number, there is no definite hierarchy of such a sequence. They may be as happy as they are. For example, 2, 3, 7, 11, 13, 17, 19, 23, 29 .... Etc.

From the moment the prime number has been discovered, so far many studies have been done, but there is no good evidence. Mathematicians have been taking so long for a basic pattern that does not have any specific pattern, they randomly repeat (or randomly, another prime number is found after a prime number). But a few days ago, in 2016, two professors at Stanford University of America, 'Kannan Soundararajan' and 'Robert Lemke Oliver' have observed a pattern in the form of the last digit or digit of the prime number.

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Despite the 2 and 5 prime numbers, the last digit of any prime number is always 1, 3, 7 and 9, not 2 and 5. What will be the advantage of this ?? ... It will be the advantage that when we look for the next prime number of known prime numbers, then only check the next digits of the last digits 1, 3, 7, 9, and make guinea pigs test. One or four of these fours will be a prime number (do not think the word "must", because it will understand soon).

These two mathematicians created a computer program, through which they cut the first 400 billion prime number. They notice that the last digit of a prime number does not want to be the last digit of the next prime number. In utter words, it is unlikely to be the last member of the next prime number.

The last digit of two consecutive prime digits is very low, only 18.5%. It has also been found that, in a prime number, the last digit 3, the last member of the next basic number is likely to be 9 more than the number 1 and 7.

It is called "conspiracy of primes" or "fundamental conspiracy". This discovery has already thrown some thought all over the world. Mathematicians can not imagine, how long this mystery was unnoticed!

Professor Sundararajan himself did not believe in the first. In his words, "This invention is very exciting. Suppose you know painting very well, but suddenly you realize that there is such a painting that has never been seen before. " His invention was like this, much like that.

These two American mathematicians have said that their last-digit pattern can be explained by the "k-tuple conjecture" discovered in the twentieth century. This conjecture is used to grouping the prime numbers.

Of course, they also said that the number of prime numbers going in front of infinity, that is, the larger the number of the prime numbers, the tendency to follow this "last-digit pattern" will also be reduced. After a while they would like to recreate the pattern as they wish.

Then you realize that there will still be a lot of ways to walk ... and the romance of science is walking the path. Which keeps us alive, enriches the desire to know. For the k-tuple conjecture, it's being interpreted as "last-digit pattern", just like this "last-digit pattern" - it will accelerate the next discovery. That's why I say, everything of science is dependent on each other.

Sources: 1 2 3 4

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