496 60stars Astrology SEASON ESSAY New Year's Special "What Are Perfect Numbers?" Part 3

60stars  Astrology Season  Essay

English  version

By TOKYO-TANUKI

496 60stars Astrology SEASON ESSAY 

New Year's Special "What Are Perfect Numbers?" Part 3

1. So, last time we talked about how 1, Φ², and 6 are perfect numbers (?) .

But then the question came up: what about the relationship between 6 and 28?

Today we'll think about this.

......Well, no need to overthink it!

We'll power through with the force of our imaginations!




2. So,

6 = 1 + √5²
It has two terms.

But,

28 = 1 + √5² + √9² + √13².
It has four terms.

1 + 5 + 9 + 13 = 28

Well, that's simple.


......So, what about 496?

496 = 1 + √5² + √9² + √13² + √17² + √21² + √25² + √29² + √33² + √37² + √41²+ √45² + √49² + √53² + √57² + √61²
There are sixteen terms. 

Adding them up gives exactly 496.



.....And sure enough!

8128 = 1 + √5² + √9² + √13² + √17² + √21² + √25² + √29² + √33² + √37² + √41²+ √45² + √49² + √53² + √57² + √61² + √65² +..... .....+√253²

That's it!
There are 64 terms.



Well, that's why the perfect number 6 and the subsequent perfect numbers 28, 496.......... are connected in a proper pattern!




3. So then,

√1² = 1

√1² + √5² = 6

√1² + √5² + √9² + √13² = 28

√1² + √5² + √9² + √13² + √17² + √21² + √25² + √29² + √33² + √37² + √41²+√45²＋√49²+√53²+√57²+√61²＝496

√1² + √5² + √9² + √13² + √17² + √21² + √25² + √29² + √33² + √37² + √41²+ √45² + √49² + √53² + √57² + √61² + √65² +..... .....+√253²=8128

As you can see, 1, 6, 28, 496.......... are connected.


Now, here lies the biggest issue with perfect numbers. 

6 is a turning point, but it wasn't the only one.


...Yes

“Why could "Φ²"  be included among the perfect numbers?”

True, 1 + √Φ² = Φ², but neither √Φ nor Φ are integers.


Why is it included here?
Can be?

.......To be continued next time.


Tanu-chan💓　TOKYO-TANUKI💛