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From: Prophet Steering on 27 Mar 2010 10:37
281 and 283 are twin primes, however 283 is a strictly non-palindromic
number, where as 281 is a Sophie Germain prime, the sum of the first
14 primes, the sum of 7 consecutive primes (29 + 31 + 37 + 41 + 43 +
47 + 53), a Chen prime, an Eisenstein prime with no imaginary part,
and also a centered decagonal number!

A decagon is a ten sided polygon with ten angles. But what if there
were 10 angles paired by the degree of their angle?

Consider the shape below:

1
/ \
2 3
/ \
4 5
| |
6 7
\ /
8 9
\ /
10

Angle 1 to 2=45 degrees/
Angle 2 to 4=45 degrees/
Angle 7 to 9=45 degrees/
Angle 9 to 10=45 degrees/
Angle 4 to 6=90 degrees|
Angle 5 to 7=90 degrees|
Angle 1 to 3=45 degrees\
Angle 3 to 5=45 degrees\
Angle 6 to 8=45 degrees\
Angle 8 to 10=45 degrees\

With 10 points connecting all sides, all sides will be of one or two
degree pairs of angles.

The pairing with only two members is necessarily the origin, then.

The magical configuration is then 4, 4, 2. (or some ordering of these
three numbers)

-----------------------------------------------------------------
UNLOCKING THE PROPORTIONS OF THE PRIMES

2 and 3, the first two primes are separated by a single digit. Never
once again in an infinite set of prime numbers will two prime numbers
sit but a single digit apart from each other.

The infinite number of twin primes exist as the repetition of the
proportion shared by 3 and 5. No primes will ever be closer than two
apart from the next prime.

THEOREM: All prime numbers spring forth form the proportions of 2/3
and 3/5 repeated.

Decimal Diagram:

(15 repetitions of the digit 6)
2/3=0.666666666666666
| \
7 \
| \
3/5=0.600000000000000 1
| / \
6 / \
| /
\
2/3 * 3/5 =0.399999999999999 3

-----------------------------------

THE LOGIC GAMBIT

Let 1/2 the series of infinite primes be of the proportion present
between the first two primes 2 and 3, and let this series representing
half the infinite primes begin as follows:

2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192... (continuing)

We will refer to this series representing half the primes as
proportion 'A' or 'A-Primes'.

Now, let the other 1/2 the series of infinite primes be of the
proportion present between the ordering of second and third primes, or
3 and 5.

Again, let this series begin:

3, 5, 6, 10, 12, 20, 24, 40, 48, 80, 96, 160, 192... (continuing)

We may then refer to this series representing half the primes as
proportion 'B' or 'B-Primes'.

-----------------------------------

CONCLUSION AND DIRECTION

The prediction of the placement of the primes must be present in the
comparison of the above described two series.

Thanks,
MMM
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