An Untold Algorithm Part - II : Application of Numbers with Repeated Digits

<p>This book will introduce the world to a new topic of mathematics and open a new window for Prime Numbers. The method to write large numbers with repeated digits in a short space was first introduced in the book An Untold Algorithm. This book is about Summed Split Square Numbers or SSS numbers in short. Though some of these numbers are very large they contain digits or groups of digits repeated several times. Large space is required to write these numbers. But this method enables us to write such numbers in a short space.</p></br> </br> <p>This book has discussed the other aspect of this method. The most interesting aspect of this method is to distinguish between prime and composite numbers. If a number contains 1 3 7 or 9 at its unit place then it is difficult to identify whether the number is a prime number or a composite number. Let us take a simple example. Suppose we have two numbers 21 and 31 and both the numbers have 1 at their unit place. But 21 is a composite number and 31 is a prime number. Similarly let us take the numbers 23 and 33. Both the numbers have 3 at their unit place. But here 23 is a prime number and 33 is a composite number. So it is difficult to identify a prime number. But we can easily identify them from the divisibility pattern of a number formed by repeating the digit 1 and dividing it by that number which is to be checked. This is discussed in detail in this book. This may open a new horizon to study the mysterious character of prime numbers.</p>