This is first work if its kind. It brings representations of natural numbers from 0 to 5000 written in terms of single digit "a".  It is in such a way that if we replace a by 1 to 9, it always remains the same. To bring these results only basic operations, such as, addition, subtraction, … Continue reading Single Letter Representations Of Natural Numbers

This paper works with representations of natural numbers from 0 to 11111 written in terms of expressions with additions, subtractions and exponents. Digits used are from 1 to 9 in such a way that for each number, there are same digits in bases and exponents with different permutations. Some numbers can be written in more than one … Continue reading Flexible Power Representations: Unequal String Lengths