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Central Prime

In this section we are going to observe yet another magnificent display of numerical balances in Genesis 1:1. This one is very beautiful in its consistency and perfection. Please fasten your seat-belts and go slow..

As before, the Gematria of Genesis 1:1 is:

2701 = 37×73 (mirror reflection of prime factors)

Likewise the PRIME INDEXES[1] are mirror reflective:
The 12th prime number is 37
The 21st prime number is 73 (note the mirror reflection in 12/21)

The CENTER WORD in Genesis 1:1 is: את

This word contains the first and last letters of the Hebrew alphabet. And in the Zohar on this verse:
"what is את?.. This refers to the Torah which includes the letters from Aleph (א) to Tav (ת) through which the Heavens and Earth were created" - (Tikunei Zohar, Tikun 51)

תשרקצפעסנמלכיטחזוהדגבא
את has the first and last letter of the Hebrew alphabet

Notice that א and ת are MIRROR REFLECTIVE in their positions in the Hebrew alphabet[2] (these mirror symmetries hint to many things such as the Star of David and its meanings).

את is also the shortest word in the verse and has no translatable meaning, hinting to the sublime nature of the Torah.
 
Center Word of First Verse
בְּרֵאשִׁ֖ית בָּרָ֣א אֱ-לֹהִ֑ים אֵ֥ת הַשָּׁמַ֖יִם וְאֵ֥ת הָאָֽרֶץ
913 203 86 401 395 407 296

Of the 7 word gematrias, 401 is the only prime number (prime numbers are divisible only by themselves and 1). This too hints on the Torah which is the Prime creation (see above Zohar).

Prime Factors

Every number is either a prime or has a unique "signature" of prime factors.
The prime factors of the 7 numbers are:
913=11×83
203=7×29
86=2×43
401=Prime
395=5×79
407=11×37
296=2×2×2×37

Sum of prime factors:
11+83
+7+29
+2+43
+401
+5+79
+11+37
+2+2+2+37
Total Sum=751

Interestingly, the 37th prime number = 157 (=mirror reflection of 751).
(in many ways, Genesis 1:1 is built around the number 37)

Let us see if this symmetry persists

Balance of Prime Factors

Amazingly:
11+83+7+29+2+43=175
401
5+79+11+37+2+2+2+37=175
perfect balance of prime
factor sums around את=401
notice also that 175 has same digits as 751

175 | 401 | 175

Prime Factor Indexes

If we convert the primes to their indexes:

11 is the  5th prime number
83 is the 23rd prime number
2 is the 1st prime number (1 is defined by mathematicians as being in a category of its own)
7 is the 4th prime number
etc.

Thus:
Prime Factor Indexes
913=11×83=5th prime×23rd prime
203=7×29=4th prime×10th prime
86=2×43=1st prime×14th prime
401=79th Prime
395=5×79=3rd prime×22nd prime
407=11×37=5th prime×12th prime
296=2×2×2×37=1st prime3×12th prime

The sum of the prime indexes BEFORE את=79th prime are:
(5+23)+(4+10)+(1+14)=57

The sum of the prime indexes  AFTER את=79th prime are:
(3+22)+(5+12)+(1+1+1+12)=57

Thus, we have a perfect symmetry of prime indexes around the center word index את=79th prime=401

57 | 79 | 57

Keep in mind there is no logical reason whatsoever for prime numbers to be related to their indexes. Prime numbers are found by trial and error. There is no mathematical formula for calculating them.

To Summarize:
Sum of Left/Right prime factors=175 | 401 | 175 
Sum of Left/Right prime indexes=57 | 79 | 57 

Amazingly, the reciprocals of these numbers gives:
1/175 = 0.0057..
1/57 = 0.0175..

Prime Factor Digital Roots

The prime factors of the 7 numbers and their digital roots are:
913=11×83=(1+1)=2
(8+3)=11=1+1=2
203=7×29=(7)
(2+9)=11=1+1=2
86=2×43=(2)
(4+3)=7
401=Prime=(4+0+1)=5
395=5×79=(5)
(7+9)=16=1+6=7
407=11×37=(1+1)=2
(3+7)=10=1+0=1
296=2×2×2×37=(2)
(2)
(2)
(3+7)=10=1+0=1

The sum of the prime digital roots BEFORE את
=2+2+7+2+2+7=22

The sum of the prime digital roots  AFTER את
=5+7+2+1+2+2+2+1=22

Thus, we have a perfect symmetry of prime factor digital roots around the center word את=prime=401=4+0+1=5

22 | 5 | 22

Prime Factor Index Digital Roots

If we convert the primes to their indexes and calculate their digital roots:

As before,
11 is the  5th prime number
83 is the 23rd prime number
2 is the 1st prime number (1 is defined by mathematicians as being in a category of its own)
7 is the 4th prime number
etc.

Thus:
Prime Factor Indexes Digital Roots
913=11×83=5th prime×23rd prime=(5)
(2+3)=5
203=7×29=4th prime×10th prime=(4)
(1+0)=1
86=2×43=1st prime×14th prime=(1)
(1+4)=5
401=79th Prime=(7+9)=16=1+6=7
395=5×79=3rd prime×22nd prime =(3)
(2+2)=4
407=11×37=5th prime×12th prime =(5)
(1+2)=3
296=2×2×2×37=1st prime3×12th prime =(1)+(1)+(1)
(1+2)=3

The sum of the prime index digital roots BEFORE את=79th prime are:
(5+5)+(4+1)+(1+5)=21

The sum of the prime indexes  AFTER את=79th prime:
(3+4)+(5+3)+(1+1+1+3)=21

Thus, we have a perfect symmetry of the prime factor index digital roots around the center word את=79th prime =(7+9)=16=1+6=7
21 | 7 | 21

Notice also how all these numbers have digit root = 4. את is the 4th word in the verse.
751 = 7+5+1=13=1+3=4
175 = 1+7+5=13=1+3=4
175|401|175 = 1+7+5+4+0+1+1+7+5=31=3+1=4
57|79|57 = 5+7+7+9+5+7=40=4+0=4
22|5|22 = 2+2+5+2+2=13=1+3=4
21|7|21 = 2+1+7+2+1=13=1+3=4

The story is not over...

Alternating +/- Sum of Prime Factors

Amazingly, even the alternating +/- sum of the PRIME FACTORS are also perfectly balanced. Observe the amazing fact that the alternating +/- sum of the PRIME FACTORS point right back to the center word value and the only prime word value (401).
 
11 - 83 + 7 - 29 + 2 - 43 + 401 - 5 + 79 - 11 + 37 - 2 + 2 - 2 + 37
=401

Alternating +/- Sum of Prime Factor INDEXES

Incredibly, the exact same pattern is revealed within the PRIME INDEXES. The alternating +/- sum of the PRIME INDEXES of the Genesis 1:1 Prime Factors points right back to the PRIME INDEX of 401 (the 79th Prime = 401):
 
5 - 23 + 4 - 10 + 1 - 14 + 79 - 3 + 22 - 5 + 12 - 1 + 1 - 1 + 12
=79

The 79th PRIME = 401!

Alternating +/- Sum of Prime Factors Before/After

This same alternating +/- PRIME FACTOR symmetry exists before/after the central 401 prime.

The +/- sum of the prime factors BEFORE את=401:
11 - 83 + 7 - 29 + 2 - 43 =-135

The +/- sum of the prime factors AFTER את=401:
5 - 79 + 11 - 37 + 2 - 2 + 2 - 37=-135

Thus, we have a perfect symmetry of +/- prime factors around the center word את=401

-135 | 401 | -135

Alternating +/- Sum of Prime Factor INDEXES Before/After

Incredibly, the same before/after symmetry is revealed in the PRIME INDEXES.

The +/- sum of the PRIME INDEXES BEFORE את=79th prime:
5 - 23 + 4 - 10 + 1 - 14 =-37

The +/- sum of the PRIME INDEXES AFTER את=79th prime:
3 - 22 + 5 - 12 + 1 - 1 + 1 - 12=-37

Thus, we have a perfect symmetry of +/- PRIME INDEXES around the center word את=79th prime = 401

-37 | 79 | -37

Reciprocals of Total Alternating +/- Sum

The total +/- sum of all the PRIME FACTORS before/after 401 is:
11 - 83 + 7 - 29 + 2 - 43 + 5 - 79 + 11 - 37 + 2 - 2 + 2 - 37
=-270

The total +/- sum of all the PRIME FACTOR INDEXES before/after 79 is:
5 - 23 + 4 - 10 + 1 - 14 + 3 - 22 + 5 - 12 + 1 - 1 + 1 - 12
=-74

Incredibly, these two numbers relate back to -37 and -135 through their reciprocals:

The RECIPROCAL of -270 = 1/-270 = -0.0037037037037.. (infinite repetition of 037)

The RECIPROCAL of -74 = 1/-74 = -0.0135135135135.. (infinite repetition of 135)

note: most of the above numerical balances were originally discovered by Leo Tavares[3].

Summary

Sum of all prime FACTORS=751 
The 37th prime number=157(mirror reflection of 751)
Balance of Left/Right prime FACTORS=175 | 401 | 175(mirror and 175 same digits as 751)
Sum of Left/Right prime INDEXES=57 | 79 | 57(mirror symmetry)
1/175 = 0.0057.. and 1/57 = 0.0175..
Balance of Left/Right prime FACTOR digital roots=22 | 5 | 22(mirror symmetry)
Balance of Left/Right prime factor INDEXES digital roots=21 | 7 | 21(mirror symmetry)
+/- Sum of Prime FACTORS=401 (same as center word)
+/- Sum of Prime Factors INDEXES=79(79th Prime=401)
+/- Balance of Left/Right prime FACTORS=-135 | 401 | -135(mirror symmetry)
+/- Balance of Left/Right prime factor INDEXES=-37 | 79 | -37(mirror symmetry)
Reciprocal of Total +/- prime FACTORS=1/-270 = 0.037037037..(infinite 037)
Reciprocal of Total +/- prime factor INDEXES=1/-74 = 0.0135135135..(infinite 135)

Let us now look at some various other findings related to the 401 prime...

Other - Multiples of 401

Word Gematrias
בְּרֵאשִׁ֖ית בָּרָ֣א אֱ-לֹהִ֑ים אֵ֥ת הַשָּׁמַ֖יִם וְאֵ֥ת הָאָֽרֶץ
913 203 86 401 395 407 296

Another interesting mathematical fact around the 401 prime is that all the other words in Gen.1:1 can be combined to form a multiple of 401:
395+407=401×2
913+395+296=401×4
913+913+203+395+395+395+395=401×9
913+913+913+86+395+395+395=401×10

These combinations do not exceed 7 numbers and Genesis 1:1 has 7 words.

Interestingly, even the ALTERNATING +/- SUM OF THE 28 LETTERS of Genesis 1:1 points back to 401.
The alternative +/- sum of the 28 letters in Genesis 1:1 =
2-200+1-300+10-400+2-200+1-1+30-5+10-40+1-400+5-300+40-10+40-6+1-400+5-1+200-90
= 2005 = 5×401 = (Small Gematria of את × Gematria of את)

This is interesting also because 5×401 reminds 5401, the same way that 2701 is related to 271, dropping the zero, or pushing the 1 with a zero. I already saw many cases where the breaking apart of digits and multiplication of those digits is part of the way the torah hints at numbers. 2701 is also the center point of 5401. This needs more investigation.

Other - Super Primes

As before, the center word in Genesis 1:1 is: את and contains the first and last letter of the Hebrew alphabet. According to the mystical writings, the verse can also be read "In the Beginning, G-d created את", i.e. the Torah which includes the 22 letters from Aleph (א) till Tav (ת) (see Zohar, Tikun 51). These 22 letters were the building blocks of creation. According to our sages, G-d first created the Torah and then afterwards used it to create Heaven and Earth.

Interestingly, the 22nd "super-prime" number is 401.

"Super-prime" numbers are defined as primes whose index is also a prime number.

Here are the first 25 "super-primes":
#super prime
13
25
311
417
531
641
759
867
983
10109
11127
12157
13179
14191
15211
16241
17277
18283
19331
20353
21367
22401
23431
24461
25509

Interestingly, 401 is the 79th prime number and 79 is the 22nd prime number.

Other - 2701th Prime

An interesting symmetry of 2701:
2700+2701+2702=2701×3 (nearby sum)
 
2700th prime
(24281)
+2701nd prime
(24317)
+2702nd prime
(24329)
=2701×33
(72927)
 
a scan of 100 million primes found that ONLY 2701 has this symmetry.

Note that since 33=27, this can also be written as:
2700th prime+2701nd prime+2702nd prime=2701×(27×01)
(this symmetry in the "nearby primes" is UNIQUE to 2701 for ALL PRIMES)

Another interesting mathematical property of 2701:
I ran a scan of one billion integers which are:
(1) mirror reflective and (2) center points of each other.
The results:
73,37
793,397
7993,3997
79993,39997
799993,399997
7999993,3999997
79999993,39999997
799999993,399999997
....
37 and 73 are the ONLY prime pairs in this series (and 2701=37×73).
Thus, it is all 7 then 9s then 3 and then reverse, so 37 and 73 are the KEY, prime units of this series and the rest are expansions.

Other - Mid-letter Symmetry

Let us now look at yet another layer of numerical symmetry.

Word Gematrias
בְּרֵאשִׁ֖ית בָּרָ֣א אֱ-לֹהִ֑ים אֵ֥ת הַשָּׁמַ֖יִם וְאֵ֥ת הָאָֽרֶץ
14 letters 14 letters

14 is the Gematria of "Yad" (hand) in Hebrew, hinting G-d created the world with "2 hands", so to speak (i.e. the Sefirot of Chesed and Gevurah), as written: "My hand has laid the foundation of the earth, And My right hand has stretched out the heavens" (Isaiah 48:13)

Genesis 1:1 has 28 letters. Half of those (14) are in the first 3 words and the other half in the last 4 words. This splits the verse in half, revealing yet another axis of symmetry. There is also an "At-nachta" (pause) cantilation note at the 3rd word - "Elokim" which further confirms the split.

Let us examine the balance of words in this split.
 
Word Gematrias
בְּרֵאשִׁ֖ית בָּרָ֣א אֱ-לֹהִ֑ים אֵ֥ת הַשָּׁמַ֖יִם וְאֵ֥ת הָאָֽרֶץ
913 203 86 401 395 407 296
14 letters 14 letters

Multiplying the first half (first 3 words):
86×203×913
=15939154
digit sum=1+5+9+3+9+1+5+4=37
sum of hundreds=15+93+91+54=253
sum of thousands=15+939+154=1108

Multiplying the second half (last 4 words):
296×407×395×401
=19082162440
digit sum=1+9+0+8+2+1+6+2+4+4+0=37
sum of hundreds=1+90+82+16+24+40=253
sum of thousands=19+082+162+440=703

Notice how both halves share the same digit sum (37) and sum of hundreds (253).
Both 37 and 253 are important "Star of David" numbers - the 3rd and 7th stars respectively (=37)
The sum of thousands 703 is also an important number in Genesis 1:1 (and 703 = 37th triangle number).
According to Oren Evron, 1108 reduces to 1+108=109, a very important number and the gematria of עגול (circle) which refers to Pi. Interestingly, עגול has ordinal Gematria of 37 and small Gematria of 19, the two lower Gematrias of "wisdom". It also has triangle Gematria (mispar kadmi) = 457, the center point of the opening word Bereisheit. This needs more investigation.

Notice also: 2701 = 37 × 73 and 2701 + 1072 = 3773 (double symmetry)
27011072 = 211 × 112 × 109 (symmetry in 211/112)
This too needs investigation.


 
Roshei Teivot (first letters)
Interestingly, the primes of the Roshei Teivot (first letters) also display this 3/7 relationship.

Roshei Teivot of first 3 words
בְּרֵאשִׁ֖ית בָּרָ֣א אֱלֹ-הִ֑ים אֵ֥ת הַשָּׁמַ֖יִם וְאֵ֥ת הָאָֽרֶץ
בְּבָּאֱ
= 3rd Prime (5)

According to the Zohar (Hashmatov Chelek Aleph, 251a) the Heaven and Earth were created by the Divine Name אֵ֥-הַוְהָ = 17.
This Divine Name is in the Roshei Teivot of the last 4 words:
 
Divine Name
בְּרֵאשִׁ֖ית בָּרָ֣א אֱ-לֹהִ֑ים אֵ֥ת הַשָּׁמַ֖יִם וְאֵ֥ת הָאָֽרֶץ
אֵ֥-הַוְהָ
= 7th Prime (17)

Thus, the Roshei Teivot (first letters) of Genesis 1:1 are split into 5/17. Interestingly, these are the 3rd and 7th prime numbers respectively (37).

note that symmetry is a sign of purpose and intent. If one were walking in the woods and he came across one or two symmetrical arrangement of stones in a triangle or star formation, he would immediately suspect that someone was there and arranged them in this formation with intent. (interestingly, we also find many displays of symmetry in the universe such as in the fundamental particles (ex.quarks) and their mathematical properties.)

>> Next: Star of David


 

 
Footnotes

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