First and Last
Thus says the L-ORD, the King and Redeemer of Israel, the L-ORD of Hosts: "I am the first and I am the last, and there is no God but Me" - Isaiah 44:6In 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, hinting to the Biblical teaching that G-d is first and last (Isaiah 44:6).
ת | ש | ר | ק | צ | פ | ע | ס | נ | מ | ל | כ | י | ט | ח | ז | ו | ה | ד | ג | ב | א |
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]}.
את is also the shortest word in the verse and has no translatable meaning, hinting to the sublime, non-physical nature of G-d (similar to the central "Yud" in the 28 letter triangle as we saw).
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 G-d who is the Prime existence.
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 |
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 prime^{3} | * | 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.. |
Notice 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 |
The story is not over...
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 prime^{3} | * | 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 |
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 |
note: 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) |
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.
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 22 letters of the Hebrew alphabet. These 22 letters were the building blocks of creation. According to our sages, G-d first created the 22 letters and then afterwards used them 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 |
1 | 3 |
2 | 5 |
3 | 11 |
4 | 17 |
5 | 31 |
6 | 41 |
7 | 59 |
8 | 67 |
9 | 83 |
10 | 109 |
11 | 127 |
12 | 157 |
13 | 179 |
14 | 191 |
15 | 211 |
16 | 241 |
17 | 277 |
18 | 283 |
19 | 331 |
20 | 353 |
21 | 367 |
22 | 401 |
23 | 431 |
24 | 461 |
25 | 509 |
Also interesting is that 401 is the 79th prime number and 79 is the 22nd prime number.
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 |
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). This is a huge topic.
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).
>> Next: Star of David
Footnotes
- [1] the prime indexes can be checked at https://www.numberempire.com/numberfactorizer.php return to text
- [2] in the "At-Bash" reversal these 2 letters interchange return to text
- [3] he told me it is fine to use his findings provided he is cited as the discoverer return to text