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From: R A on 9 Jul 2010 10:12
Date: 9-7-2011
Time: 16:11

Dear reader,

I want to apologize for my English writing.

I have found something very weird in the prime numbers. It looks like
a very weird pattern that needs to be more understanding. I am not a
mathematician. I hope you can understand the theory. The theory is not
known yet.

It is a category of prime number; it seems to be a symmetric pattern.
It is just like the Chen primes.

I will write step by step how this theory is working.


--First step,

Draw a square.

Place the number 1 in the upper left corner of the square,
Place the number 2 in the upper middle of the square
Place the number 3 in the right upper corner of the square
Place the number 4 in the middle of the left side of the square
Place the number 5 in the middle of the square
Place the number 6 in the middle of the right side of the square
Place the number 7 in the lower left corner of the square
Place the number 8 in the lower middle of the square
Place the number 9 in the lower left of the square

The number 0 can be placed outside the square.
If you succeeded in following my steps, you will have square that
actually is just like the numeric keypad.

123
456
789

--Second step

Let take a prime number, for example 29

Push 2 and 9 in the numeric keypad. You actually push upper middle of
the square (2) and lower left of the square (9). It is important that
you remember the location and the sequence of the numbers.

--Third step

Now switch tilt the numeric keypad to right side (clockwise). The
numeric keypad looks now

741
852
963

If you push now the location and sequence of the prime number 29, you
will get the prime number 43 ( 0 stays 0, and 5 stays 5).


Four step

Let’s take a larger prime number 1907

Tilt again the numeric keypad to the right side (clockwise). The
numeric keypad is,

741
852
963

If you push the location and sequence of the prime number 1907, you
will get the prime number 7309 ( 0 stays 0, and 5 stays 5).

This is the basic of my theory. It works with almost every prime
number. If you can’t find the prime number by tilting to the right
side, you must tilt again and again until you get the normal
situation.

The numeric table of the theory;

--Tilt to right side:

1=7
2=4
3=1
4=8
5=5
6=2
7=9
8=6
9=3

--Tilt again (upside down):

1=9
2=8
3=7
4=6
5=5
6=4
7=3
8=2
9=1

--Tilt to left side

1=3
2=6
3=9
4=2
5=5
6=8
7=1
8=4
9=7



--And the normal situation



It seems that there is an order between specified prime number. There
are some prime numbers that are not working. But if you combine it
with different numeric tables (see above) you get always a prime
numbers.

Just experiment it for yourself and let me know.

Greeting,

Redouan

From: Greg Rose on 9 Jul 2010 12:27
In article <2111e6c4-87d9-4c0d-976c-b015b6f1db1e(a)t10g2000yqg.googlegroups.com>,
R A <redtena(a)gmail.com> wrote:
>Date: 9-7-2011
>Time: 16:11
>
>Dear reader,
>
>I want to apologize for my English writing.
>
>I have found something very weird in the prime numbers. It looks like
>a very weird pattern that needs to be more understanding. I am not a
>mathematician. I hope you can understand the theory. The theory is not
>known yet.
>
>It is a category of prime number; it seems to be a symmetric pattern.
>It is just like the Chen primes.
>
>I will write step by step how this theory is working.
>
>
>--First step,
>
>Draw a square.
>
>Place the number 1 in the upper left corner of the square,
>Place the number 2 in the upper middle of the square
>Place the number 3 in the right upper corner of the square
>Place the number 4 in the middle of the left side of the square
>Place the number 5 in the middle of the square
>Place the number 6 in the middle of the right side of the square
>Place the number 7 in the lower left corner of the square
>Place the number 8 in the lower middle of the square
>Place the number 9 in the lower left of the square
>
>The number 0 can be placed outside the square.
>If you succeeded in following my steps, you will have square that
>actually is just like the numeric keypad.
>
>123
>456
>789
>
>--Second step
>
>Let take a prime number, for example 29
>
>Push 2 and 9 in the numeric keypad. You actually push upper middle of
>the square (2) and lower left of the square (9). It is important that
>you remember the location and the sequence of the numbers.
>
>--Third step
>
>Now switch tilt the numeric keypad to right side (clockwise). The
>numeric keypad looks now
>
>741
>852
>963
>
>If you push now the location and sequence of the prime number 29, you
>will get the prime number 43 ( 0 stays 0, and 5 stays 5).

It took almost no time for me to think of the
first counterexample: 11 becomes 77 (clockwise) or
33 (widdershins).

I think that the fact that even numbers and 5, the
other divisor of 10, are preserved by the
transformation, means a slightly higher
probability that a prime will transform into
another prime. They all have to end in 1, 3, 7,
or 9. But there is no real pattern here.

Greg.

--
From: Gordon Burditt on 9 Jul 2010 13:12
>--First step,
>
>Draw a square.
>
>Place the number 1 in the upper left corner of the square,
>Place the number 2 in the upper middle of the square
>Place the number 3 in the right upper corner of the square
>Place the number 4 in the middle of the left side of the square
>Place the number 5 in the middle of the square
>Place the number 6 in the middle of the right side of the square
>Place the number 7 in the lower left corner of the square
>Place the number 8 in the lower middle of the square
>Place the number 9 in the lower left of the square
>
>The number 0 can be placed outside the square.
>If you succeeded in following my steps, you will have square that
>actually is just like the numeric keypad.
>
>123
>456
>789

This maps 1, 3, 7, and 9 to the corners. These are the only numbers
possible for a last digit of a prime (except for the prime 2, which
fails this pattern but it's often an exception anyway).

>Let take a prime number, for example 29
>
>Push 2 and 9 in the numeric keypad. You actually push upper middle of
>the square (2) and lower left of the square (9). It is important that
>you remember the location and the sequence of the numbers.
>
>--Third step
>
>Now switch tilt the numeric keypad to right side (clockwise). The
>numeric keypad looks now
>
>741
>852
>963

The rotations specified map corner numbers to corner numbers.
There are 4 possible rotations (including the starting position).


>This is the basic of my theory. It works with almost every prime
>number. If you can�t find the prime number by tilting to the right
>side, you must tilt again and again until you get the normal
>situation.

For 2-digit numbers, the chances of picking a prime at random:
X1, 5 out of 9 possibilities
X3, 6 out of 9 possibilities
X7, 5 out of 9 possibilities
X9, 5 out of 9 possibilities

If you pick three of these at random, the chance of no primes at all
is (4/9)**3, or .0878 . This gets higher as you go to larger numbers.

>It seems that there is an order between specified prime number. There
>are some prime numbers that are not working. But if you combine it
>with different numeric tables (see above) you get always a prime
>numbers.

I don't believe that. Try it with 10-digit primes, for example.
In any case, you've only got 3 numbers that might be prime.


Counter-example: 3011 prime
1077 3*359
7099 31*229
9033 3*3011



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