Pi digits are generally considered to be random (as judged by statistical testing). Are they??

First ten Pi digits are: p=3.141592654… (**Last digit rounded**).

In the last few weeks, my good friend, Oren Evron, producer of most videos about my research on the Bible and on biblical Hebrew, has been engaged finding links between Pi and the first verse of the Hebrew Bible (Genesis 1:1):

בְּרֵאשִׁית בָּרָא אֱלֹהִים אֵת הַשָּׁמַיִם וְאֵת הָאָרֶץ.

Likelihood values for his results (their probability to occur randomly) have been generated via extensive computer-simulation studies (conducted by him). His findings are astounding. A video detailing these has now been published by Oren Evron (Hebrew, English):

Code of Creation (Part 1; Hebrew) Oren Evron Nov 29 2019

Code of Creation (Part 1; English) Oren Evron April 13 2020

Code of Creation (Part 2; Hebrew) Oren Evron Jan 2022.

You may read about Pi in Wikipedia, entry: Pi. See also an earlier post on this blog:

Fibonacci series, Pi, Golden Ratio — Simple Relationships

To-date, the digits of Pi (a transcendental number) have been considered random. Are they?

In this post, I display my own, and only, contribution to Oren Evron’s research (not included in his video). Consider the first ten digits of Pi (**last digit not rounded**):

{3, 1, 4, 1, 5, 9, 2, 6, 5, 3}.

Next, observe word lengths (number of letters in a word) for the seven Hebrew-words comprising the first verse of the Bible (Genesis 1:1):

{6, 3, 5, 2, 5, 3, 4}.

We realize that the second sequence is **contained** in the first, namely, the second series is a subset of the first series (taken from Pi), comprising 70% thereof. Only three digits in the first series (marked black) are not in the second. Conversely, all digits in the second series (with their exact frequencies) appear in the first.

**(Comment**: Reading the second series as Hebrew, from right to left, we obtain (read from left to right):

**{4, 3, 5, 2, 5, 3, 6}**;

This is incredibly close to the order that these digits appear in the first ten digits of Pi; In fact, one needs only** two changes**, swapping first 3 with 4 and moving 6 before 5, to preserve the original order of these digits, as they appear in the first ten digits of Pi!!!).

How probable is this result (second series contained in the first)?? What is the likelihood for this finding to occur by random?

We have conducted a computer simulation, in which the computer randomly generated a million sets of ten digits (each digit with probability 0.1 (10%) to be selected). We then counted the number of sets that contained exactly the second set (by exactly we mean including frequency, for example, if “5” appears twice in the second set so it is in the simulated set).

Based on this simulation experiment, we have obtained for the probability of the second set to be exactly contained in the first to be 0.0019 (0.2%), namely, for a significance level of half a percent (0.5%), a statistically meaningful result (“significant result”). By conventional norm in scientific research studies, this is a highly significant result, indicating that the finding is probably not coincidental.

This result, on its own, might be considered by some as “cherry picking”. Combined with Oren Evron’s new findings, as displayed in his latest movie (English version expected soon), any claim of “cherry picking” becomes baseless — the link between the first verse of Genesis and physical reality (as represented by Pi) is now an established scientifically-observable fact.

**Another of Oren Evron’s videos —****Findings of Rabbi Yitzchak Ginsburgh about a relationship between Fibonacci and biblical Hebrew (Hebrew; For English, activate captions!):**

Fibonacci in the Torah – Genesis Golden Ratio

**Links between Pi and Fibonacci numbers (post on this blog):**

## 5 replies on “Pi First Digits and Genesis First Verse”

[…] Pi First Digits and Genesis First Verse […]

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B”H

Thank you, Oren, for your excellent work in this area. This analysis has been very helpful to me. As it turns out, there is an analogy to the creation code’s relationship to π. This is the relationship between the Shema Yisrael and e, the natural log base. When we consider as a group, all five of the constants in Euler’s equation, e^^(iπ) + 1 = 0, the analogy gets even more interesting. At the moment, it is the topic of one of my research projects. I will have more specific details on this later.

Regarding non-repeating decimal numbers, such as irrational or transcendental numbers, even though the order is not random, the statistical counts of each of the ten digits (0 through 9) approach maximum entropy (i.e. same numbers of 1s, 2s, 3s, etc.) as one expands the number of decimal places. I believe that this is either the point that Prof. Shore made previously, just worded differently, or it is very similar to it.

God bless you both!

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Pi digits are not random. Anyone who calculates Pi correctly will come up with the same digits in the same order. Therefore, the digits are predictable. If you can predict the next digit, it is not random. Pi cannot be further compressed. In this sense also, the Pi digits are not random.

Anything can look random if you don’t know what the pattern is supposed to be.

The creation is also not random. God made it exactly in the precise and correct way according to His will. Some things about it may look random to us because we don’t know what the pattern is.

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You seem to have neglected to notice that I have never stated that Pi digits are random‼

What I have written in this post is that “As judged by statistical testing, Pi digits are generally considered to be random”. What this implies is that based on random samples of digits of Pi, the latter seem to satisfy two requirements:

1. Be normal (namely, written to base 10, each of Pi digits seems to appear equally likely, namely, about 10% of the times);

2. Having no discernible repetitive patterns.

Both requirements have not been mathematically proven to-date with regard to Pi (see for example: Are the Digits of Pi Random? Berkeley Lab Researcher May Hold Key); However, they seem to be empirically valid enough (both in Pi and in scores of mathematical procedures used to generate pseudo-random numbers) as to be conveniently used in computer-simulation studies, like the one I have conducted and reported about in this post.

Incidentally, the procedure from Mathematica package, used in this post to generate pseudo-random integer numbers, is called… RandomInteger.

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Hello Dr. Marion Ceruti,

Sorry to interrupt your correspondences,

Did you watch the video “Code of Creation” where we see Pi related to the first verse of the Torah both by the approximation 22/7 and with perfect matches of specific areas in the decimal expansion of Pi?

If you haven’t, here is a link:

Professor Haim Shore also commented on that video and wrote a post revealing some of the findings as you can see at the top of the comments.

Professor Shore’s post is here:

https://haimshore.blog/2020/01/17/linkage-between-torah-first-verse-and-pi-some-of-evrons-findings/

Take care,

Oren

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