Rare Numbers
Understanding Rare Numbers
Rare numbers are a fascinating mathematical concept where a number produces a perfect square when the reverse of the number is both added and subtracted from it. These special numbers are known as Rare Numbers.
For any given number Num, let’s denote its reverse as Rev. For example, if Num = 23, then Rev = 32. It’s crucial to emphasize that the number Num must be a positive integer (i.e., Num > 0).
In order for a number Num to be classified as a Rare Number, it needs to meet the following criteria: Num + Rev = A2 and Num – Rev = B2, where A and B are perfect squares.
For example, consider the number 65: Here, Num = 65 and Rev = 56. We observe that Num + Rev = 121 = 112 and Num – Rev = 9 = 32, making 65 a Rare Number.
Examples of Rare Numbers
Some examples of rare numbers include:
- 621770
- 281089082
- (Add more examples here)
Feel free to share this intriguing information about rare numbers with your friends and explore more instances of these unique mathematical phenomena!