2026⁴ 60 Stars Astrology A Happy New Year 4 Quadruplet Primes and Tanuｰchan

60stars  Astrology Season  Essay

English  version

By TOKYO-TANUKI

 

2026⁴　60 Stars Astrology　
A Happy New Year　
4　Quadruplet Primes and Tanuｰchan

1. So, Tanu-chan suddenly became interested in perfect numbers about a month ago. 

Then, for some reason, I got interested in twin primes around the second week ago. 

But looking at prime number tables is very dangerous.

Tanu-chan is writing the manuscript while looking at a prime number table up to around 100,000.

Looking at a prime number table is endlessly fascinating—you never tire of it.

In other words, this is a signal of danger.




2. It's similar to when you enter a place with slot machines or poker games to gamble.

.....Somehow it feels joyful, making me feel restless.

In other words, that place is filled with magic.
Tanu-chan finally understood why twin primes are "The graveyard of geniuses".

So, even though it's only been a little over a month, the research on twin primes will end.


Well, to give you an image, it's like the picture at the top.
Just an image, protected by a tremendous sandstorm.

.....I feel like someone is watching over us, even beyond time.

Of course, it might just be my imagination—or maybe Tanu-chan is sick.

.....In Japan, there's a tale called Urashima Taro.

It's the one where a young man is taken by a turtle to Ryugu Castle in the sea, stays there surrounded by beautiful women for just a little while, and when he returns to the land, he finds himself an old man.

3. Well, for that reason, I'll keep this brief.

Over the past three or so posts, I've discussed classifying twin primes into 12 types. 

This classification can also be applied to quadruplet primes, which are essentially twin primes connected in pairs.

Due to the structure of the decimal system, quadruplet primes with two pairs of twins form the combination:1-3-7-9. 

This is because including a 5 anywhere would prevent them from being prime numbers.

.......Specific examples of quadruplet primes are:

11-13-17-19
101-103-107-109
191-193-197-199
461-463-467-469
821-823-827-829
1481–1483–1487–1489
1871–1873–1877–1879
2081–2083–2087–2089
3251–3253–3257–3259,

 well, that's the gist of it.

And in the 12 classifications,

ZF53 types like 11-13 twin primes are paired with non-ZF49 types like 17-19,

ZF51 types like 101-103 are paired with non-ZF37 types like 107-109,

ZF58 types like 191-193 pair with non-ZF99 types like 197-199,

ZF01 types like 1481-1483 pair with non-ZF32 types like 1487-1489,

there are no exceptions to these pairings.

.....Furthermore, within each group, the difference between numbers is a multiple of 120.

For example, within the same group (ZF51-non-ZF37),
461-463-467-469
and
821-823-827-829
have a difference of 120×3=360!

But look closely—huh?

The combinations within the same group (ZF58 — non-ZF99) are

191–193–197–199
1871–1873–1877–1879

The difference between these two sets is 1680 = 120 × 14, which follows the rule.

However, 191-193-197-199
starts with (9 × 21) + 2 = 191, meaning it begins with (9a + 2).

But 1871-1873-1877-1879
is (9×207) + 8 = 1871, meaning it starts with (9a+8).

The entirely different group
11-13-17-19 (ZF53-non-ZF49) starts with (9×1) + 2, meaning (9a+2).

Also,
101-103-107-109 (ZF51-non-ZF37) starts with (9×11) + 2, meaning (9a+2).

.........Well, maybe the previous 12 types just aren't enough to distinguish them all.

Simply put,
●1-●3-●7-●9
These quadruplet primes sometimes start with 9a+2, sometimes with 9a+5, and sometimes with 9a+8. 

.....Well, it seems the sum of the first numbers in each set is directly reflected.

But I don't know if this pattern has any meaning.

...This kind of excitement is dangerous !

This is why it's so exciting—and so dangerous.

What could it be next?
That's what scares me!

This kind of thing should be left to super-genius Professor Gauss.

Well, that's all for now on prime numbers.

Tanu-chan💓　TOKYO-TANUKI💛