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Genesis and Pi
based on a video by Oren Evron Hebrew | English
In this paper we are going to embark on a journey into the secret world of Torah numerology. Hopefully, we will get a feeling and appreciation for this amazing side of torah which is being revealed specifically in our computer era.
Let us begin, be'H
What is the most famous number in all of mathematics? No doubt it is the number Pi. This number appears everywhere in math and physics.Pi is at the core of the universe because everything is composed of cycles that spin, orbit, rotate or oscillate. Pi defines all the cycles of the spinning and orbiting of atoms, planets, solar systems, galaxies, etc. (not to mention Pi defines spatial geometry itself).
It is the central number of physics. And even in the mysterious quantum realm, everything, including light is basically just "probability waves" oscillating with mind-blowing mathematics.
Pi is also a fundamental constant of math, which means you cannot change Pi without changing all of math. The entire number system would need to change if you changed Pi.Furthermore, according to the Kabbala (Etz Chaim 1:1) the entire creation began as a perfect circle. To make room for the creation, G-d "constricted" His infinite light into a perfect circle, so to speak. Pi was used to bring this circle (Tzimtzum) in a whole and perfect way.
Let us see if Pi appears in the creation account. Surely, such an important number should appear in G-d's holy Torah.
First Verse in Torah - 22/7
Let us begin with a simple hint of Pi and afterwards move on to something far more impressive.The first verse of the torah is:
בְּרֵאשִׁ֖ית בָּרָ֣א אֱ-לֹהִ֑ים אֵ֥ת הַשָּׁמַ֖יִם וְאֵ֥ת הָאָֽרֶץ
("in the beginning, G-d created the heavens and the earth")
If we take the first letter (Roshei Teivot) of each of the seven hebrew words. The gematria (numerical value) is:
בְּרֵאשִׁ֖ית בָּרָ֣א אֱ-לֹהִ֑ים אֵ֥ת הַשָּׁמַ֖יִם וְאֵ֥ת הָאָֽרֶץ
= Beit+Beit+Aleph+Aleph+Heh+Vuv+Heh=2+2+1+1+5+6+5=22
Dividing this by the number of words gives:
22/7=3.14285
This number is 99.96 percent the value of Pi.
Interestingly, there is no other verse in all of Tanach (the Bible) with this ratio of 22/7 for first letters (Roshei Teivot) (or even last letters, i.e. Sofei Teivot) divided by number of words.
The next ratio of integers which comes closer to Pi than 22/7 is 333/106. But to make a verse of this size is not practical. The longest verse in Tanach is Esther 8:9 with 43 words. A statistical analysis of verses in the torah by Oren Evran found odds of obtaining this result randomly as 1 chance in 19,000 (all this is nothing compared to what's coming up shortly.)
Gematria of First Verse = Sum of 611 (Torah) Decimals of Pi
According to the Midrash (Beresheit Rabba 1:1), G-d first created the Torah as a blueprint of creation and afterwards created the world, similar to a builder which creates a blueprint for his building before making it (so to speak). Thus, the Torah existed before the creation.The opening word of the torah is: בראשית (in the beginning)
If we take the previous letter of each letter in this word, we get:
| Previous Letters | |||||
| ב | ר | א | ש | י | ת |
| א | ק | א | ר | ט | ש |
The gematria of these previous letters is:
| Gematria of Previous Letters | |||||
| א | ק | א | ר | ט | ש |
| 1 | 100 | 1 | 200 | 9 | 300 |
| Total=611 | |||||
The Gematria of Torah is likewise 611.
| Gematria of "Torah" | |||
| ת | ו | ר | ה |
| 400 | 6 | 200 | 5 |
| Total=611 | |||
This hints that the Torah came before Beresheit, i.e. before the creation as the Midrash says.
What is the gematria of the entire first verse? As we saw earlier, the first verse hints to Pi.
| Gematria of First Verse | ||||||
| בְּרֵאשִׁ֖ית | בָּרָ֣א | אֱ-לֹהִ֑ים | אֵ֥ת | הַשָּׁמַ֖יִם | וְאֵ֥ת | הָאָֽרֶץ |
| 913 | 203 | 86 | 401 | 395 | 407 | 296 |
| Total=2701 | ||||||
How about if we take the first Torah, i.e. 611 digits of Pi and sum them?
| First 611 Digits of Pi | |
| Pi=3. | 14159265358979323846264338327950288419716939937510 58209749445923078164062862089986280348253421170679 82148086513282306647093844609550582231725359408128 48111745028410270193852110555964462294895493038196 44288109756659334461284756482337867831652712019091 45648566923460348610454326648213393607260249141273 72458700660631558817488152092096282925409171536436 78925903600113305305488204665213841469519415116094 33057270365759591953092186117381932611793105118548 07446237996274956735188575272489122793818301194912 98336733624406566430860213949463952247371907021798 60943702770539217176293176752384674818467669405132 00056812714... |
| Sum of 611 digits = 2701 - incredible! | |
How do we know if what we just found is a coincidence or not? The first thing is to try to see if there is any consistency to the pattern or if it was just a one time fluke.
Gematria Ketana of Torah Decimals of Pi = Gematria Ketana of First Verse
How about if we take the Gematria Ketana of the first verse in the torah?The Gematria Ketana ("small gematria") of a letter is obtained by summing its digits. So for example, the letter shin is normally Gematria of 300.
Its Gematria Ketana is thus: 300=3+0+0=3. The letter Peh has Gematria of 80. Thus, its Gematria Ketana is 8+0=8. Similarly, for all the other letters.
Taking the Gematria Ketana of the first verse gives:
| Gematria Ketana of First Verse | ||||||
| בְּרֵאשִׁ֖ית | בָּרָ֣א | אֱ-לֹהִ֑ים | אֵ֥ת | הַשָּׁמַ֖יִם | וְאֵ֥ת | הָאָֽרֶץ |
| 13 | 5 | 14 | 5 | 17 | 11 | 17 |
| Total=82 | ||||||
What is the Gematria Ketana of "Torah"?
| Gematria Ketana of "Torah" | |||
| ת | ו | ר | ה |
| 4 | 6 | 2 | 5 |
| Total=17 | |||
Taking the first 17 decimals of Pi and adding them gives:
Pi=3.1415926535897932384626433..
1+4+1+5+9+2+6+5+3+5+8+9+7+9+3+2+3=82!!!
This fits beautifully with what we saw previously.
Namely, the full gematria of Torah is 611.
The full gematria of the first verse is 2701.
The first 611 digits of Pi sum up to 2701!
Now the gematria ketana of Torah is 17.
The gematria ketana of the first verse is 82.
The first 17 digits of Pi sum up to 82.
Gematria of First Verse = Sum of 611 (Torah) Decimals of Pi Offset 17
As before, the sum of the first 611 decimals of Pi equals the gematria of the first verse in the torah - 2701.Perhaps a fluke thing? Let us see if this pattern repeats again.
As before, the gematria ketana of Torah is 17. How about if we count again the first 611 decimals of Pi but we start counting 17 digits later?
| First 611 Digits of Pi Offset 17 Digits | |
| Pi=3. | 14159265358979323{846264338327950288419716939937510 58209749445923078164062862089986280348253421170679 82148086513282306647093844609550582231725359408128 48111745028410270193852110555964462294895493038196 44288109756659334461284756482337867831652712019091 45648566923460348610454326648213393607260249141273 72458700660631558817488152092096282925409171536436 78925903600113305305488204665213841469519415116094 33057270365759591953092186117381932611793105118548 07446237996274956735188575272489122793818301194912 98336733624406566430860213949463952247371907021798 60943702770539217176293176752384674818467669405132 0005681271452635608277857713} |
| Sum of 611 digits offset 17 = 2701! | |
As we saw previously, the first 17 digits of Pi sum up to 82.
How about those 17 digits we offset at the end, after the first 611 digits. Do they also add up to 82?
| Pi=3. | 14159265358979323(=82){846264338327950288419716939937510 58209749445923078164062862089986280348253421170679 82148086513282306647093844609550582231725359408128 48111745028410270193852110555964462294895493038196 44288109756659334461284756482337867831652712019091 45648566923460348610454326648213393607260249141273 72458700660631558817488152092096282925409171536436 78925903600113305305488204665213841469519415116094 33057270365759591953092186117381932611793105118548 07446237996274956735188575272489122793818301194912 98336733624406566430860213949463952247371907021798 60943702770539217176293176752384674818467669405132 0005681271452635608277857713(=82)}... |
Yes, indeed. The 17 digits we offset (after 611 digits) also add up to 82 just like the first 17 digits!
We are seeing symmetry here! It seems "Torah" can act both as an index location and a sum of digits. More later..
Gematrias of the Thousands
The Hebrew numbering system works differently than our decimal system. Instead, large numbers are grouped into multiples of thousands.So for example, the current Hebrew year is 5780. We could write this out fully as:
תתתתתתתתתתתתתתרפ
and the sum of the letters would be 5780. But a shorthand method is used to group the thousands.
Instead we write:
ה'תשפ
Each multiple of a thousand is grouped for shorthand. Thus, the first Heh represents 5000 and the rest is 780. This is how big numbers are written in Hebrew[2].
(there is no "zero" letter because the Hebrew letters have a reality, they represent Divine spiritual lights - Ramchal, Derech Etz Chaim).
Let us now analyze...
| Gematria of "Beresheit" | |||||
| ב | ר | א | ש | י | ת |
| 2 | 200 | 1 | 300 | 10 | 400 |
| Total=913 | |||||
As before, the Gematria of Beresheit is 913.
The first Beit in the Torah is written specially large by the Oral Tradition. It is the only such large Beit in the entire Tanach (Bible).
Beit spelled out fully: is Beit - Yud - Tav = 2+10+400=412.
If we square this number, we get: 4122=169,744
As before, the thousands are groups. So 169,744 = 2 groups of (169) and (744)
What is 169+744? 913. Same as the gematria of בראשית.
Interesting! How about if we multiply the gematria of each word in the first verse? As before the Gematria of each word in the first verse is:
| Gematria of First Verse | ||||||
| בְּרֵאשִׁ֖ית | בָּרָ֣א | אֱ-לֹהִ֑ים | אֵ֥ת | הַשָּׁמַ֖יִם | וְאֵ֥ת | הָאָֽרֶץ |
| 913 | 203 | 86 | 401 | 395 | 407 | 296 |
| Total=2701 | ||||||
Let us multiply each one together..
| 913 × 203 × 86 × 401 × 395 × 407 × 296 |
| Total=304,153,525,784,175,760 |
Huge number indeed! As before, in Hebrew each thousand times is grouped together separately. Adding the groups of thousands gives:
304 + 153 + 525 + 784 + 175 + 760 = 2701
As before, 2701 is the same as the gematria of the verse itself!
A statistical analysis by Oren Evron gives odds of one chance in 16.38 million of this result coming randomly (for both, getting value 2701 for the verse and also 2701 for the sum of thousands. see video[3]).
How about if we multiply this number by 82, which as before, is the gematria ketana of this verse?
| 913 × 203 × 86 × 401 × 395 × 407 × 296 |
| × 82 |
| Total=24,940,589,114,302,412,320 |
Adding each group of thousands gives:
| 24 + 940 + 589 + 114 + 302 + 412 + 320 |
| Total=2701!! |
Prior to 82 there are no other numbers that gives this result of 2701 as sum of thousands.
How about if we multiply again by 82?
| 913 × 203 × 86 × 401 × 395 × 407 × 296 |
| × 82 |
| Total=24,940,589,114,302,412,320 |
| × 82 |
| Total=2,045,128,307,372,797,810,240 |
Adding each group of thousands gives:
| 2 + 45 + 128 + 307 + 372 + 797 + 810 + 240 |
| Total=2701!! |
Here too, prior to 82 there are no other numbers that gives this result of 2701 as sum of thousands.
Thus we hit 2701 three times in a row with these multiplications. As known, in Jewish law if a strange thing happens three times, it should not be regarded as a chance occurrence.
If we multiply again by 82 the result is not 2701. Thus this is the final number for our operation.
How about if we now add up all the digits of this final enormous number together?
| 2+0+4+5+1+2+8+3+0+7+3+7+2+7+9+7+8+1+0+2+4+0 |
| Total=82!! |
Thus: 822× the multiplication of each word in the verse gives the verse itself. Another wheel of perfection.
According to Oren Evron, a statistical analysis gives odds of this occurring randomly as 1 chance in 311 Billion (see video).
Squaring Each of the First 82 Digits of Pi
Let us go back to Pi. How about if we do something similar with Pi.Let us square each digit of the first 82 digits of Pi.
So we add 12+42+12+52+92+62+52...etc. for 82 digits.
The result: 2701!
Middle Point
As before, according to the Kabala (Etz Chaim 1:1) the entire creation began as a perfect circle. The Arizal uses the term "Nekudah Emtzait" (middle point... circle, etc.)The Hebrew word "Nekudah" (point) has gematria 165.
What shows up beginning at the 165th digit of Pi?
| Pi=3. | 14159265358979323846264338327950288419716939937510 58209749445923078164062862089986280348253421170679 82148086513282306647093844609550582231725359408128 48111745028410270193852... |
Exactly on the 165th digit we find the number 2701! This hints that the creation began at this "point" (since 2701 is the gematria of the first verse which is the creation).
What about the word "Emtzait"? After all the creation really began at this "location".
Emtzait=Aleph+Mem+Tzadik+Ayin+Yud+Tav
= 611 = Torah!
(note that all of the matches we saw previously for 611=Torah also apply to "Emtzait" as well)
Adding the two gematrias - Nekudah Emtzait = 611+165=776
How about if we add up 165 digits of Pi starting on the 611th digit?
| Sum of 165 Digits of Pi starting on the 611th Digit | |
| Pi=3. | 14159265358979323846264338327950288419716939937510 58209749445923078164062862089986280348253421170679 82148086513282306647093844609550582231725359408128 48111745028410270193852110555964462294895493038196 44288109756659334461284756482337867831652712019091 45648566923460348610454326648213393607260249141273 72458700660631558817488152092096282925409171536436 78925903600113305305488204665213841469519415116094 33057270365759591953092186117381932611793105118548 07446237996274956735188575272489122793818301194912 98336733624406566430860213949463952247371907021798 60943702770539217176293176752384674818467669405132 00056812714526356082778577134275778960917363717872 14684409012249534301465495853710507922796892589235 42019956112129021960864034418159813629774771309960 5187072113499999983729780... |
| Total=776 | |
(these numbers will pop up again throughout this series. No doubt, Pi is deeply connected to Genesis 1:1; not only that, but the entire story of creation appears to be encoded in Pi as we will see).
Let us summarize these circles within Pi.
Torah is both an index and a digit sum.
Torah is 17 (Gematria Ketana) and 611 (Gematria).
The first verse is 82 (Gematria Ketana) and 2701 (Gematria).
| 3 Circles of Pi |
First Circle
Second Circle Within the previous circle, there is also a second circle of multiplication and squaring:
Third Circle Likewise for "Nekudah Emtzait" - another circle within the circle. Nekudah has Gematria 165. Emtzait has Gematria 611. If we use Nekudah as an index, we skip to the 165th digit and we get 2701. Same with Emtzait, both a location index and digit sum (Emtzait=Torah=611). So the 611th digit is a location index. From there we measure 165 digits and sum to get 776 (Gematria of Nekuda Emtzait). Thus it turns out that if we look at the first 776 digits of pi (Gematria of Nekuda Emtzait), we see that the first 611 digits equal 2701 and the next 165 digits equal 776!!! Where 165=Nekuda 611=Emtzait! Perfect split for the values to represent "Nekuda Emtzait" with 776/2701 values! |
Additions
by Yosef SebagThis section is not in the original video by Oren Evron. I present a few more findings.
We have seen that not only the totality of Genesis 1:1 has been tuned to 2701 but also the balance of words themselves (words multiplied).
How about the individual digits within the word gematrias themselves, have these also been fine-tuned to 2701?
One way to test this is to look for order in the proportion and number of individual digits. Let us sort this set of digits in ascending order.
| Individual Digits of Gematrias Sorted: | ||||||
| בְּרֵאשִׁ֖ית | בָּרָ֣א | אֱ-לֹהִ֑ים | אֵ֥ת | הַשָּׁמַ֖יִם | וְאֵ֥ת | הָאָֽרֶץ |
| 913 | 203 | 86 | 401 | 395 | 407 | 296 |
|
Combining Digits And Sorting: 296 407 395 401 86 203 913 =00,011,223,334,456,678,999 (sorted digits) 00+011+223+334+456+678+999 Total=2701! | ||||||
Incredibly, this too gives a sum of thousands equal to 2701! Thus it seems the number and proportions of the individual digits of the words themselves is also tuned to 2701!
Now the words are made up of individual letters. How about if we multiply by the total number of letters in the verse (28)?
| 00011223334456678999 |
| × 28 |
| Total=314,253,364,787,011,972 |
Adding each group of thousands gives:
| 314 + 253 + 364 + 787 + 011 + 972 |
| Total=2701!! |
Prior to 28 there are no other numbers that gives this result of 2701 as sum of thousands.
How about if we multiply by the sum of the gematria of all the letters?
| 00011223334456678999 |
| × 2701 |
| Total=30,314,226,367,489,976,299 |
Adding each group of thousands gives:
| 30 + 314 + 226 + 367 + 489 + 976 + 299 |
| Total=2701!! |
Thus it seems not only (1) the totality of the verse and (2) the balance of words have been finely tuned to 2701, but also (3) the number and proportions of the individual digits of the words themselves.[4]
This additional fine-tuning lowers the statistical odds to less than 1 chance in 3 trillion of being random[5].
The Flood - New Beginning
Interestingly, we find one other verse in the book of Genesis with Gematria of 2701.
After the flood in Parsha Noach, the final verse says:
|
"And in the second month, on the twenty seventh day of the month, the earth was dry" (Gen.8:14) | |||||||
| וּבַחֹ֨דֶשׁ֙ | הַשֵּׁנִ֔י | בְּשִׁבְעָ֧ה | וְעֶשְׂרִ֛ים | י֖וֹם | לַחֹ֑דֶשׁ | יָֽבְשָׁ֖ה | הָאָֽרֶץ |
| 320 | 365 | 379 | 626 | 56 | 342 | 317 | 296 |
|
Adding Gematrias of Words: 296+317+342+56+626+379+365+320 Total=2701 | |||||||
For after the flood was like a "new beginning" (notice the verse also ends with "Ha'Aretz").
The Chizkuni commentary points a contradiction in the verses on the years of Noach.
At the beginning of the flood:
"And Noah was six hundred years old, and the flood came about, water upon the earth" (Gen.7:6).
=600
From the verses, the flood lasted 1 year. Afterwards:
+1
"And Noah lived after the Flood, three hundred and fifty years" (Gen.9:28).
+350
600+1+350=951.
"And all the days of Noah were nine hundred and fifty years, and he died" (Gen.9:29)
=only 950!
Why does the Torah omit the year of the flood? The Chizkuni answers that the year of the flood is not counted. For the normal laws of nature were all halted. Everything was operating in a new miraculous manner.
The book Otzar Hapilaot points out a hint of this in the Gematria of 2701. For after the flood was like a new beginning of creation[6].
>> Next: Breath of Life
Footnotes
- [1] see Pri Etz Chaim, Shaar Chag Hamatzot ch.1 about 2/3 down return to text
- [2] Interestingly, we find this special code method in Megilah Esther by the 10 sons of Haman, 3 letters are written smaller and 1 letter is written bigger. The big letter (Vav) codes for the 6th millenia (year 5000) and the 3 small letters code for 707. Together they add up to 5707. This was the year the 10 Nazi criminals were hanged after the Nuremberg Trials. Interestingly, this was delayed for a few months until just after the Jewish New Year return to text
- [3] I can confirm this from personal examination of test data he showed me return to text
- [4] note the perfection here: 00,011,223,334,456,678,999 has 20 digits like the Milui of Yud - Yud-Vav-Dalet=10+6+4=20 (Yud=Wisdom is central to creation). The digit sum is 82 which happens to fit the gematria ketana of the verse (special case). This also reduces to Yud (8+2=10). 00011223334456678999*28 has digit sum=73 (again reduces to Yud. 00011223334456678999*2701 = 30314226367489976299 (digit sum=100). Both 00011223334456678999 and 2701 reduce to Yud. Thus 10*10=100 like the final digit sum. Pure perfection. return to text
- [5] about one in 311 Billion for the Gematria, words, multiplied, and Gematria Ketanas multiplied. See "Genesis and Pi" by Oren Evron. For the sorts one can add an extra factor of 10 at least (only 10 due to all the other alignments there already). So over 1 in 3 trillion return to text
- [6] both verses also have the same "large gematria" (menatzpach) since both have the same final letters of one final mem and one final tzadik, this is unusual. note that no other verse in the Torah has Gematria of 2701 except for Vayikra/Leviticus 20:27 which speaks of executing the sorcerer/witch. Perhaps this is due to the witchcraft interfering with nature and executing them restores the natural order of creation. In the era of prophecy, the powers of witchcraft were vastly greater than today in order to maintain free will. Today it is virtually non-existent. This verse is also the final verse in the weekly portion "Kedoshim" (you shall be holy) and this weekly portion contains the main principles of the torah such as "be holy" and "love your fellow as yourself". I think this is the main hint here - namely, that to become holy, etc. is the primary purpose of creation. note also that only Genesis 1:1 has other symmetries such as the words multiplied = 2701 sum of thousands. return to text
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