双(so-u) 60stars astrology Season Holiday "An Extra" 3-2 "Numbers to measure something." part 1

60 STARS ASTROLOGY
ENGLISH VERSION

SEASON HOLIDAYS

An Extra  

双(so-u) 60 stars astrology

Season Holiday "An Extra"  3－2

"Numbers to measure something."　Part 1

1. Now, last time,

142857 
428571 
285714
174825 
748251 
482517
417582 
175824 
758241 
......

369741 
697413 
974136 
........

I wrote that the most common feature of these combinations of numbers is that "they are divisible by 37 x 3, i.e., 111."

This is the story of Midy's Theorem, Ginsberg's Theorem, or something related to them in mathematics.

So, this whole blog is made up of Tanu-chan's delusions, but sometimes real math is included.


Of course, the conclusion is always a fantasy!
Tanu-chan is a liberal arts student.




2.  Well, I will tell you a bit about it in this article, but it is not related to astrology.

But I am not sure if it has anything to do with astrology at all.

Last time I talked about numbers divisible by 37 x 3 = 111.

One of the most famous such stories is when you divide 1 by 
998001.

1 divided by 998001 
= 0.00000100200300. .100110120130......323324325....
.737738739........9959996997999000001002003.....

So the numbers go all the way from 0 to 999. But there is no 998.


By the way, it is not only 998001 that looks like above.

Dividing by 81, 
1÷81=0.0123456790123456790...
This is also well-known.

.....These are, well, if you transform 998001 = 37² x 3² x 9², you get this kind of regularity.

It is so because 81 = 9².


37×111, which we talked about last time, is also a member of this group since it is 37×37×3.




3.  What do you call something like this, where the numbers are not only circular but also regular when you divide by 1 in that number?

I looked it up, but I couldn't find it. 

So I'll give it a name.

We will call it the "MGT number", after Midy's and Ginsberg's names.

What is the “T”? 

......Well, you don't need to think about it.


The MGT number is basically a combination of 37, 3, and 9.
For example,

37²×3²=12321

And, for example,

37³×3³×9³=997002999

but you can still get the regularity. Give it a try!

4.  That is why this MGT number is so interesting, but it is unclear if all the numbers with 37, 9, and 3 in them have such properties.

Tanu-chan is a liberal arts student, you know. I don't take responsibility for the conclusion.
........


By the way, for example, 

37⁴×3⁴×9⁴ = 996005996001 divided by 1,

004010020035056084120165220286364455560680......
we get this sequence of numbers.

This is
004 
010 
020 
035 
056 
084 
120 
165 
220 
......

but it is hard to see the regularity of the MGT numbers up to this point.

Well, if we look at the difference between these numbers and the previous one, we get
6 
10 
15 
21 
28 
36 
45 
55 

.....You can see that the difference increases regularly from 4, 5, 6, 7, 8, 9, 10, and so on.




5.  Well, this time the article was rather decent.

The next topic of Tanu-chan's research, or rather, interest, is whether this "MGT number" can be used for analysis of irrational numbers.

What's the point of using them, or is there some great conclusion to be achieved?

I'm not sure about that, of course.



...... In this way, my time on the commuter train goes by in a flash!



Summer in Japan is very hot !!!




Tanu-chan💓 TOKYO-TANUKI💛