2026³ 60Stars Astrology Season Essay A Happy New Year 3 Prime Numbers and Tanu-chan

60stars  Astrology Season  Essay

English  version

By TOKYO-TANUKI

2026³　60 Stars Astrology　

A Happy New Year　3　

Prime Numbers and Tanu-chan

1. Well, up until today, as a New Year's special, I've been fantasizing about prime numbers.

We've discovered that:
- There are 12 patterns of twin primes
- There are probably around 8 solitary primes, and these are quite lonely
- Some primes are one half of a twin pair at times and a solitary prime at others (intermediate twin primes)

2. Now, let's proceed to eliminate specific pairs of twin primes from the prime number table.

First, we erase clear twin primes like 11-17, 41-43, or 101-103. 

Then we erase the solitary primes.

After that, we erase the ZF families (8 families) from the 12 twin prime families.

When we look at the state left with only the 4 non-ZF groups remaining, the number of remaining primes becomes surprisingly small.
(See the illustration at the top of today's blog)

.......By the way, as a review,

The ZF sequence is defined as follows:

For example, 11 and 13, 239 and 241,

11 = 2 × 5 + 1
13 = 4 × 3 + 1

239 = 2 × 119 + 1
241 = 4 × 60 + 1

These are the groups where the integers "m" and "n" end with 5 or 0 when expressed as 4m + 1 or 2n + 1. 

There are 8 such groups.

....Conversely, non-ZF groups are those where, for numbers like 107 and 109,

107 = 2×53 + 1
109 = 4×27 + 1

when expressed as 4m + 1 or 2n + 1, the integers "m" and "n" do not end with 5 or 0. 

There are 4 such groups.

3. Now, let's eliminate the primes from the non-ZF group except "non-ZF99 group".

Then, only the primes from the non-ZF99 group will remain.

(Fig.1)

.........Well, basically, what this means is,

“ All primes can be neatly organized when grouped at intervals of "120×n". ”


Of course, Tanu-chan's research only has samples up to around 3000-5000, so its reliability is pretty low.

Well, besides, this blog is basically made of delusions anyway, so what can you do!

.........But I do not want to go to the hospital!

Everyone, try it out for yourselves!
If you happen to make any interesting discoveries, let me know!



That's all for today.

Tanu-chan💓　TOKYO-TANUKI💛