« PUZZLES »

## Mathematical Quiz

### First Quiz

##### For the number 123456, how can the number be represented by the multiplication of prime numbers and/or the exponents of prime number?

For example: 123456 = A x B x C, where A, B, C are prime numbers or the power of a prime number.

Notes:
1. Prime number is a number that can only be divided by 1 or itself, such as 1, 2, 3, 5, 7, 11, 13, ...
2. Exponent of number = the number to the power of an integer number,
i.e. 5 to the power 3:       53 = 5 x 5 x 5 (= 125)

### Next Quiz

##### What are the decimal numbers that multiply with 37 to come up with a set of 3-digit numbers of 111, 222, ....?

Scroll down to see the answer.

##### Explanation:
```                            37   x     3  =  111
37   x     6  =  222
37   x     9  =  333
37   x    12  =  444
37   x    15  =  555
37   x    18  =  666
37   x    21  =  777
37   x    24  =  888
37   x    27  =  999

Equation:  37 x 3 x n =  111 x n           n=1,2,3,..., 9
```

### Another puzzle?

##### What is the number to multiple the series to produce a set of 6-digit numbers of 111111, 222222, ....?

```                             ?   x     3  =  111111
?   x     6  =  222222
?   x     9  =  333333
?   x    12  =  444444
?   x    15  =  555555
?   x    18  =  666666
?   x    21  =  777777
?   x    24  =  888888
?   x    27  =  999999
```

Again, find the number without using a calculator.

Scroll down to see the answer.

##### Explanation:

Actually, the number 37 is quite peculiar. When a sequence of 37 and 0 is multiplied by the series, it produces a multiple-digit number of recurring numerals, like 1111111111, 2222222222, and so forth.

Example:
```                        37037037   x     3  =  111111111
37037037   x     6  =  222222222
37037037   x     9  =  333333333
37037037   x    12  =  444444444
37037037   x    15  =  555555555
37037037   x    18  =  666666666
37037037   x    21  =  777777777
37037037   x    24  =  888888888
37037037   x    27  =  999999999
```

A philosophy professor of mine said it was possible to express the universe in a set of mathematical equations. For centuries, philosophers and astrologists have been pondering on simple arithmetic to find the secrets of the world. For the most just being curious, one can be amused at the wonder of numbers in drawing pictures.

Examples: Infinite pyramids of numerals divided by 3 x n (n = 1,2,3, ..., 9)
```                             111  ÷  3   =  37
111111  ÷  3   =  37037
111111111  ÷  3   =  37037037
111111111111  ÷  3   =  37037037037
111111111111111  ÷  3   =  37037037037037
and ...
111111111.......11  ÷  3   =  370370...........37

222  ÷  6   =  37
222222  ÷  6   =  37037
222222222  ÷  6   =  37037037
222222222222  ÷  6   =  37037037037
222222222222222  ÷  6   =  37037037037037
and ...
222222222.......22  ÷  6   =  370370...........37

```

### Note

In 1890, Ivan Panin, who was a Russian professor and mathematician and once tutored Albert Einstein, discovered the Greek text of the New Testament could be transformed into numbers. The Bible is originally written in Hebrew for the Old Testament and in Greek for the New Testament. The 24 Greek alphabets also represent the numbers, such as alpha for 1, beta for 2, ... then iota for 10, sigma for 200, ... etc..

For example, Jesus can be spelled as Iota (10) eta(8) sigma(200) omicron (70) nu (400) s(200). The sum of these numeric values is 888, and Christ is 1480. The numeric value of Jesus Christ is 2368, the addition of 888 and 1480.

```                     2368      =      888  +    1480
or                 37x8x8     =   37x8x3  +  37x8x5
```

After the letters, words, .., and paragraphs are translated into numerics, the texts take on a definite numerical pattern. Recently, the researchers uses his numeric technique also find the simialr patterns in non-biblical texts with the aid of a computer. Enter your search terms Submit search form

[ Previous | Top | Middle of Page]