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Print Free Pamphlet - - Brief Summary

Why  153  Fish  in  John  21:11  ?

Sections :

Introduction
Church Fathers : Sts. Jerome, Augustine, Gregory the Great, Cyril A.
No Reason ?
Why Church Fathers’ Answers Could Not Be John’s
Problems with Square Root of 3 Answer
Context Points to the Answer : An Explanation That Works
Archimedes : Context of Time and Place
Greeks and Wisdom
Fish
Calculating the Measure of the Fish
John’s Purpose
Why Church Fathers Did Not (could not?) Give John’s Idea
Conclusion

 

Luke 5:1-11

Mathematical Beauty of 153

I do not believe the following formulas are related, at least not  directly, to the message St. John was conveying, but they are interesting.

“Biblical numbers in the patristic thought must be understood symbolically (pointing to higher truths) and not mystically (having a metaphysical importance in themselves),” writes Fr.Vassilios Bebis, Orthodox priest.

The number 153 has interesting qualities. Although, other numbers have unique qualities as well.   For example see 73.

However, as is explained below, I believe that none of these qualities listed below, however interesting, were John’s primary reason for including this number in his Gospel.

The mathematical properties of 153

153 = 3 x 51   (symmetrical)

13 + 53 + 33 = 153

153 is the smallest three-digit number which can be expressed as the sum of the cubes of its digits.

122 + 32 = 153 

(10 + 7) x 32 = 153 

17 x 32 = 153

1 + 5 + 3 = 9 = 32 

153 ÷ (1+5+3) =17 

153 is the 17th triangular number. (see below)  

1 + 2 + 3 ... + 17 = 153

153 is the sum of a square, triangular, and circular numbers.
153 = 100 + 28 + 25    with
100 being a square number,  100 = 102
28 a triangular number, see below, and
25 a circular number. 
A circular number is a number whose square
“ends” in the same digits as the number itself.
e. g.,  25 x 25 = 625

 
 
153 is sum of first five factorials

 

 

1 + 2 + 3 … + 17 = 153

 

Thus, the number 153 is the 17th triangular number.

The colors show that 153 is also the sum of the first five positive factorials.

 

 

Another interesting feature of the number 153 is that it is the limit of the following algorithm:

1.         Take a random positive integer, divisible by three.

2.         Split that number into its base 10 digits.

3.         Take the sum of their cubes.

4.         Go back to step 2 and resume sequence of instructions.

An example, starting with the number 84: 

 

 


 
The number 153 is also a hexagonal number, and a truncated triangle number, meaning that 1, 15, and 153 are all triangle numbers.

 

 Exponents

The term power was used by the Greek mathematician Euclid for the square of a line.[1] Archimedes discovered and proved the law of exponents, 10a 10b = 10a+b, necessary to manipulate powers of 10.[2]
Wikipedia

 

The Church Fathers made use of some of the mathematical qualities above.  However, as will be explained in the second page below, I do not believe that John had intended or used any of these mathematical formulas.

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Church Fathers : Sts. Jerome, Augustine, Gregory the Great, Cyril A

Continue ...
No Reason ?
Why Church Fathers’ Answers Could Not Be John’s


 

Sections :

Introduction
Church Fathers : Sts. Jerome, Augustine, Gregory the Great, Cyril A.
No Reason ?
Why Church Fathers’ Answers Could Not Be John’s
Problems with Square Root of 3 Answer
Context Points to the Answer : An Explanation That Works
Archimedes : Context of Time and Place
Greeks and Wisdom
Fish
Calculating the Measure of the Fish
John’s Purpose
Why Church Fathers Did Not (could not?) Give John’s Idea
Conclusion

 

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