*Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.*

**Leonhard Euler**

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Mathematics, the universal language of numbers, shapes, and patterns, is often seen as a serious and rigorous discipline. However, beneath its surface lies a realm of **quirky** **and** **fascinating facts** that can surprise and amuse even the most ardent mathematicians. Here are **40** such delightful insights into the world of **mathematics**.

These quirky facts only scratch the surface of the fascinating world of mathematics. From mind-boggling numbers to peculiar shapes and patterns, mathematics continues to captivate our imagination. So the next time you encounter a math problem, remember that behind the formulas and equations lie a wealth of intriguing and amusing discoveries.

- Did you know that the word
**mathematics**comes from the Greek word*math**ē**ma*, which means*knowledge*or*learning*?

- The number 142857 has a unique property: when multiplied by 2, 3, 4, 5, or 6, the digits rearrange to form the original number.

- The sum of all the numbers on a roulette wheel is 666.

- 144 is the largest square in the Fibonacci sequence.

- A positive integer is called a
*square-cube*number if it is*simultaneously a square and a cube*. There are infinitely many such numbers like 0, 1, 64, 729, 4096, 15625 and so on.

- Have you ever wondered why the division symbol (÷) looks like a fraction? It’s because division is essentially a fraction in reverse. For example, 20 ÷ 2 is the same as 20/2.

- There are numbers whose squares end in the same digits. For example, 76 and
**76**^{2}= 57**76**. Can you find one more example?

- 4
^{2}= 2^{4}is the only positive integer solution of*x*=^{y}*y*, assuming that^{x}*x*≠*y*.

- The numbers 0 and 1 share the same factorial value. In fact, 0! = 1, and similarly, 1! = 1.

- There are only seven indeterminate forms in mathematics. They are:

**0/0, ∞/∞, 0 × ∞, ∞ ‒ ∞, 0 ^{0}, ∞^{0}, 1^{∞}**.

- 9814072356 (= 99066
^{2}) is the largest perfect square number with all the digits (used exactly once) 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

- The word
**algebra**comes from the Arabic word*al-jabr*, which means*reunion of broken parts*. This reflects the concept of solving equations by bringing terms together.

- The recurring decimal 0.9999. . . is exactly equal to 1.

- The sum of primes up to 13 is equal to the 13th prime.

- Start with 82 and go backwards to 1:
**82**81**80**79**78**77**76**757473727170696867666564636261605958575655545352515049484746454443424140393837363534333231302928272625242322212019181716151413121110987654**321**. This number is prime!

- The 3 × 3 × 3 Rubik’s Cube contains 26 unique miniature cubes (known as cubies).

- 18 is the only number that is twice the sum of its digits.

- Hellin’s law states that twins occur once in 89 births, triplets once in 89
^{2}births, and quadruplets once in 89^{3}births, and so forth.

- Six Weeks = 10! Seconds. In fact,

6 weeks = 42 days

= 1,008 hours

= 60,480 minutes

= 3,628,800 seconds

= 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 seconds.

- There are 365 days in a non-leap year, however, the number 365 also has a very curious property, as shown here:

365 = 10

^{2}+ 11^{2}+ 12^{2}365 = 13

^{2}+ 14^{2}.

- A
**jiffy**is an actual unit of time. It means (1/100)^{ th}of a second. - The number 9 is considered a mystical number in mathematics. When multiplying any number by 9 and adding the digits of the result repeatedly, the sum will always be 9.
- 3 is the only natural number that is equal to the sum of all the terms below it.
- 26 is the number of complete miles in a marathon (26 miles and 385 yards to be exact).
- 91 is the numerical value of the Hebrew word
.**amen** - The number 19 is the last of the
*teen*numbers. - There are 177147 ways to tie a tie.
**The Rule of Three**, also known as the Rule of Proportion has been used by various civilizations throughout history. It relates three numbers in a proportional relationship.- If you love baking, you may find a connection between baking and mathematics. In baking, there are often recipes that use a simple ratio, such as the 3:2:1 ratio, to achieve best results. This ratio suggests using 3 parts flour, 2 parts fat (such as butter or oil), and 1 part sugar.
- The number 19 is the largest prime that is a palindrome in Roman numerals (XIX).
- Also, 2520 =
**7**(number of days in a week) ×**12**(number of months in a year) ×**30**(number of days in a year). - A Baker’s dozen actually consists of 13 items (rather than the usual 12).
- The 35th anniversary is commonly referred to as the
**Coral Anniversary**. It’s a perfect occasion to celebrate by visiting a destination renowned for coral reefs. - Double 7! to get the exact number of minutes in a week. In fact

1 week = 7 days

= 7 × 24 × 60 minutes

= 2 × (1 × 2 × 3 × 4 × 5 × 6 × 7) minutes

= 2 × 7! minutes.

- Four-legged chairs are widely recognized as the prevailing form of seating furniture. Nevertheless, it is worth noting that a chair can maintain its stability with just three legs while accommodating a seated individual.

- In
*a*–*b*,*a*is called the minuend and*b*the subtrahend.

- The Möbius strip, a fascinating mathematical object, is a loop with only one side and one edge. Surprisingly, if you were to cut it down the middle, you would obtain a single, elongated loop rather than two separate pieces.

- When a two-digit number added to its reverse, the sum is always divisible by 11.
- 1458 is one of three numbers which, when its base 10 digits are added together, produces a sum which, when multiplied by its reversed self, yields the original number:
**1 + 4 + 5 + 8 = 18**

**18 × 81 = 1458**

- The number of milliseconds in a day is equal to 5
^{5}× 4^{4}× 3^{3}× 2^{2}× 1^{1}

In fact,

1 day has 24 = 2 × 3 × 4 hours

1 hour has 60 = 3 × 4 × 5 minutes

1 minute has 60 = 3 × 4 × 5 seconds

1 second has 1000 = 2 × 4 × 5 × 5 × 5 milliseconds

Thus, **1 day** = 2 × 3 × 4 × 3 × 4 × 5 × 3 × 4 × 5 × 2 × 4 × 5 × 5 × 5 milliseconds

**= 5 ^{5} × 4^{4} × 3^{3} × 2^{2} × 1^{1} milliseconds.**

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