It consists only of prime numbers. For example, 29 + 6 = 35, which is 5? Similarly, 55 = 5 x 11, 161 = 7 x 23. Indeed, if you keep keeping enough distance, numbers will be included in the arithmetic sequence. This is relatively easy. It is not a prime number. But this
By the way, if you replace "four" with "three" in question (1), the answer is as follows.
Because 14? 8 = 35? 29, the reason for this is simple. Again, it is 5 - 3 = 29 - 27 etc. Let's call this set of four numbers a special quad.
Number: {1, 2, 4, 6, 23, 29}. Let 's give a to it to help think about this collection.
"Quiet" and "not too big" depend on my "man" concept. But,
x + y and z + w Then, since x + y = z + w, x z = w y. In other words, we have four specials. In a sense, interest in the theorem
For example, in the case of Euclidean expression, 63 is displayed as 3 x 3 x 7, 64 as 2 x 2 x 2 x 2 x.
If you interpret it as two thirds of the number of n, you will not lose too much. In particular, if n is large, log n is much smaller than n. Split
"Large", "Small", "Approximate" and so on. Same as Balog-Szemeretdi theorem
Four 13 x 13 square grids are displayed, each square filled with squares. If most people are asked to rank four patterns in order of beauty (or if the graphic is too strong,
This is important as it shows the beauty of pure mathematics. When I discussed the importance of mathematics with my husband - Yes, we did those conversations at home! - I have this beautiful equation reference. This proves that mathematics can become beautiful on its own without having to be a tool for science and engineering. That is how my aerospace engineer husband sometimes see it. I like that! This is a fascinating history that really started long ago. When you started to calculate, they developed the concept of 1 and 0 ... nothing. You can see the concept of their written form in ancient culture around the world. They are part of our existence. Without the concept of 1 and 0, even our recent history is impossible - this is the only number needed for computers!
It is natural that most people do not know much about mathematics, and the relationship with mathematics is limited to four rules. This distance contrasts with the importance of mathematics in today's society. Mathematics is the center of our culture and its history is often confused with the history of philosophy. Just as cosmology and evolution theory had a considerable influence on the concept of man himself, non-Euclidean geometry made it possible for new ideas and mathematical logical theorems on the universe to clarify the limitations of the deductive method. There is also mathematics in art. The most famous mathematician Pythagoras found a musically harmonious digital reason, so the relationship between mathematics and art is eternal. These aspects of mathematics make them a bridge between the two cultures between humanities and natural sciences.