綴 (to-ji-ru) 60 Stars Astrology Season Holiday extra 6 of 3 Combining Numbers to Measure Something Part 5 Fermat Number Journey F(-1)

60 STARS ASTROLOGY

ENGLISH VERSION

SEASON HOLIDAYS

An Extra  

綴　To-ji-ru (to-ji-ru)
60 Stars Astrology
Season Holiday extra 6 of 3
Combining Numbers to Measure Something Part 5
Fermat Number Journey  F(-1)

1. Since I hit my head around the beginning of July, a nearby psychic told me, “ There's a fuzzy-headed guy with his tongue sticking out near you ” .

Did some guy somewhere come to tell me something?

...... Since Tanu-chan is a liberal arts student, I think the guy should go to someone who is a science student.

2.  By the way, a while ago,

Solving the equation [2^{2^ⁿ-¹-1}]X²-X-[2^{2^ⁿ-¹-1}] = 0, by the formula for solving quadratic equations,

X = [1±√{(1+2²×[2^{2^ⁿ-¹-1}]²}] / 2×[2^{2^ⁿ-¹-1}].

The part of this root √ that is 1 + 2² × [2^{2ⁿ-¹-1}]² is named by Tanu-chan as the Fake Fermat Tanuki number (FFT).

...This FFT and the Fermat Numbers coincide.

By the way, there are only Fermat numbers up to n=0. That is, 3.

So, let's extend the Fermat number to the case where "n" is negative.

Of course, in this case, it does not add up to an integer.

If we calculate "n" as minus 1,

FFT (-1) 

= F (-1) = (√2+1) 

This is the same as when we put "n" = -1 in the Fermat number

Assuming "n" as -2

F (-2) = ((√√2) + 1. 

FFT (-2) = (√√2) + 1.

This is also the same.

It seems to go on and on. 

The world of (2^2^n)+1.....

3.  Then, of  course, "2" is representative of the even group, but among the odd numbers, such as 17, which is a Fermat number, could be a slightly different from other odd numbers, closely related to "2".

This brings us back to the very first topic, the combination of numbers to measure something.

That story was about how when we divide something, if we use a combination like 37 x 3, or 37 x 3 x 9, the result of the calculation is cool.

Now, let's consider a combination of integers up to 18 that does not use even numbers and Fermat numbers 5 and 17.

First, let's use and consider,  "37 x 13 x 11 = 5291"

1 ÷ 5291 = 0.000189000189....

17÷5291=0.003213003213...

29÷5291=0.005481005481........

And well, the result is cool. It is a beautiful circular decimal.

Now let's use "37 x 13 x 11 x 9 = 47619"

79÷47619=0.001659001659....

126÷47619=0.002604002604........

and it becomes cool again.

By the way,

multiply the "47619" we just did by 3

47691 x 3 = 142857

Oh, this is the RJ number!

Why does it show up here?

Then Multiply it by 7, 

142857 x 7 = 99999999!

The "9", the master of the "TNT" (TN) numbers, appears.

I thought the RJ number (142857) and the TNT number (369) might be at odds with each other, but they may not be.

Rather, the Fermat numbers are a bit of a strange group?

4. When we use Fermat number "17",

For example, if we divide the number by “37 x 17 = 629.”

21 divided by 629 = 0.03338632750397456....

64 divided by 629 = 0.101748807631160572...

and so on, we get some pretty uncool numbers.

Why?

Even and odd numbers, multiples of 5 and the rest, prime and composite numbers, RJ numbers, TNT numbers, Fermat numbers....

It's interesting to see how the factional warfare in the number world is going on.

What about primes greater than 19?

Who are the friends of 23, 29, etc.?

And who the heck does 37 belong to?

The mysteries of the number world continue to deepen.

Of course, today's story is Tanu-chan's delusion!

It has absolutely no scientific meaning! 

Completely zero!

....from next posts I will make some link pages to related articles or posts for learning "progression" .

Anyway that's all for today

Tanu-chan💓 TOKYO-TANUKI💛