Jarasandha Numbers

Number is the essence of mathematical calculations. Numbers have varieties of patterns and have varieties of range and richness. Many numbers exhibit fascinating properties, they form sequences, they form patterns and so on. A source of interest to both amateur and professional number theorist is the study of patterns in integers and they can be studied both geometrically and algebraically. A vital problem solving skill is the recognition of patterns in integers. Recognizing number patterns is a vital problem-solving skill. As noted by the Annenburg Foundation, “If you see a pattern when you look systematically at specific examples, you can use that pattern to generalize what you see into a broader solution to a problem”. Understanding number patterns are necessary so that students of all ages can appropriately identify and understand various types of patterns and functional relationships. Furthermore, number pattern awareness allows one to use patterns and models to analyze the change in both real and abstract contexts. In this context , for simplicity and brevity ,one may refer [Carmichael.,1959, Chris Brink.,2025, Conway, Guy.,2006, Dickson.,1952, Gopalan et.al.,2025, Maheswari, Devibala .,2023, Malini Devi, Devibala.,2021. Mordell.,1969, Pandichelvi, Vanaja.,2024, Shailesh Shirali.,2001, Thiruniraiselvi, Gopalan.,2021, Thiruniraiselvi et.al.,2025, Vijayasankar et.al.,2019]. In our Indian epic Mahabharata, we come across a demoniac figure named Jarasandha. He had a boon that if he was split into two parts and thrown apart, the parts would rejoin and return to life. In fact, he was given life by the two halves of his body. In the filed of Mathematics, we have numbers exhibiting the same property as Jarasandha. This book focuses on categorizing special polygonal numbers ,pyramidal numbers and geometrical representations in relation to Jarasandha numbers. This book contains a reasonable collection of special polygonal and pyramidal numbers. The procedure in obtaining various relations are illustrated in an elegant manner.