Step 1:- Think of any number consisting of 5 consecutive digits in ascending order. Step 2:- Reverse the digits to obtain another number. Step 3:- Find the difference of both the numbers. It always remains same, i.e. 41976. Example 1:- Let's take the number 34567....
Numbers
Amicable Numbers
A pair of two different non-zero numbers are said to be Amicable numbers/pair, if the sum of the proper divisors of each number is equal to the other number in the pair. A proper divisor of a number is a positive factor of that number except the number itself. For...
Twin Prime Numbers
Two prime numbers are said to be twins, if there difference is 2. For example, 71 and 73 are twin primes. Note:- A prime number N, is called a twin prime, if either N+2 or N-2 is a prime number. Twin prime numbers between 1 and 100 (3, 5) (5, 7) (11, 13) (17, 19) (29,...
Number of Terms between two Integers
Let's observe the examples given below carefully. CASE 1:- When both first and last terms, are to be included. Example 1:- Find out the number of terms/integers from 6 to 21. Solution:- Find the difference of first and last number. Here, Its 21 - 6 = 15. Add one to...
Balanced Prime Numbers
A prime number is said to be balanced prime number, if it is equal to the average of the two surrounding prime numbers (Previous and next prime number). A balanced prime number is always equidistant from previous and next prime number. Example: 157 is a balanced prime...
Strong Prime Numbers
A prime number is said to be a strong prime, if it is larger than the average of the two surrounding prime numbers (the previous and the next prime number). Example:- 37 is a strong prime number. It is larger than the average of the two surrounding primes, i.e. 31 and...
Amazing facts about Square of numbers
Let's observe carefully the below written interesting pattern. 2² = 4 = 1 + 3 3² = 9 = 1 + 3 + 5 4² = 16 = 1 + 3 + 5 + 7 5² = 25 = 1 + 3 + 5 + 7 +9 6² = 36 = 1 + 3 + 5 + 7 + 9 + 11 7² = 49 = 1 + 3 + 5 + 7 + 9 + 11 + 13 8² = 64 = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 9² =...
Weak Prime Numbers
A prime number is called to be a weak prime number, if it is smaller than the average of the two nearby prime numbers. For example:- 31 is a weak prime number. Because, it is smaller than the average of the two nearby or surrounding prime numbers 23 and 43 (23 + 43 =...
Happy and Unhappy Numbers
A number (positive integer) is called a happy number when it is replaced by the sum of the squares of its digits on a repeated basis until the sum of the squares of its digits equals to 1. The numbers for which the process of summing up of the squares of its digits...
Using 4s to make numbers 1 to 10
0 = [(4 + 4) – (4 + 4)] 1 = [(4 + 4) / (4 + 4)] 2 = [(4 × 4) / (4 + 4)] 3 = [ (4 + 4 + 4) / 4] 4 = [ 4 + 4 - √4 - √4] 5 = [ √4 + √4 + {4/4}] 6 = [ 4 + √4 + 4 – 4] 7 = [4 × √4 – {4/4}] 8 = [ 4 + 4 + 4 – 4] 9 = [4 + 4 + {4/4}] 10 = [(44 - 4) / 4] HAPPY...
Another Awesome Mathmagical Miracle
Think of any non-zero number. Double it. Add 24 to it. Multiply it by four. Divide the number obtained by eight. Subtract the original number you thought of from it. Your answer will always be 12. That's surprising! HAPPY...
Awesome Mathmagical Miracle
Think of any non-zero number. Triple the number. Add 45 to it. Double it now. Divide the number by 6. Subtract the original you thought of from it. You always get 15 as answer. HAPPY LEARNING........................
Amazingly Magical Addition
Here is again an amazingly beautiful magic of Maths, which includes addition of numbers. Let's enjoy the magic. Step 1:- In a 10 × 10 grid of numbers, from 1 to 100, take any 5 × 5 square grid of numbers anywhere in the grid. Step 2:- The sum of all the 25 numbers in...
Perfect Numbers
Perfect number is a special type of number, where the sum of all the factors of it, except the number itself, yields the number itself. For example:- 6 is a perfect number. Because sum of all the factors of 6 except 6 yields 6( 1 + 2 + 3 = 6). All the perfect numbers...
Circular Prime Numbers
Circular prime numbers are rare. A prime number is called a circular prime, if numbers obtained, after cyclic shifts (cyclic permutation) of its digits, remain prime. Let's take a prime number 197. 197 is a prime. 971 is also a prime. (First digit i.e. 1 is removed...
Unusual Prime Arithmetic Sequence
This sequence is not a usual pattern found in prime numbers. There are just a few examples. And this sequence is not found with 2 and 3 digit prime numbers. It starts with four digit numbers. Let's have a look at the numbers below. 1487, 4817, 8147. The above three...
Amazing sequence of six Prime numbers
6089 - A prime number 60899 - A prime number 608999 - A prime number 6089999 - A prime number 60899999 - A prime number 608999999 - A prime number HAPPY...
Magic with Prime Numbers
Think of any prime number greater than 3.Square it.Add 14 to the square of it.Divide the number obtained in the previous step by 12.You will get 3 as remainder. Always without fail... HAPPY LEARNING...............
Magic with Prime Numbers
Think of any prime number.Double the prime number considered.Add eight to the double of the prime number.Subtract half of the number from the number obtained in the previous step.Now subtract the number you thought of initially.Your answer is 4. Always.................
Sexy Prime Numbers
Sexy prime numbers are the numbers, which have a difference of 6. For example:- 5 and 11 are the sexy prime numbers, as their difference (11 - 5) is 6. Sexy prime numbers can be classified into four different types. 1. Sexy prime pairs 2. Sexy prime triplets 3. Sexy...
Amazing Prime Number 73939133
73,939,133 is an amazing 8-digit prime number. It has a wonderful property. Let's See the wonderfulness of this prime number. Start removing one digit every time from the right of the number. Every time the resulting number will be also a prime number. 73939133 is a...