{"product_id":"once-upon-a-prime-von-fayez-fok-al-adeh","title":"Once Upon A Prime","description":"\u003cp\u003eA fundamental theorem in arithmetic states that every composite number is a product of primes ,and moreover, in a unique way. This book deals with important questions relating to primes: how to decide whether an arbitrary given natural number (\u0026gt;1) is prime or not? In chapter one I provide with some efficient simple tests for primality, although it is well known that deciding whether a given natural number is prime or composite, is not an easy task .The Riemann zeta function is important in the theory of primes In this book, I prove a hypothesis based on the Riemann zeta function known as the Riemann hypothesis. A proof of the theorem which states that there exists at least one prime between any natural number n (\u0026gt;1) and its' double 2n ,was supplied by the Indian genius Ramanujan. I give in chapter 3 a proof of a similar theorem which asserts that ,if n is a natural number (\u0026gt;1), then there is always a prime between the square on and the square of its' successor (n+1) .\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9786204727455\"\u003e\u003ch3\u003eTheorems Relating to Primes And Their Distribution\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9786204727455","offer_id":39778302787677,"sku":"9786204727455","price":43.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/8cf0f04b-b5ab-4583-a6aa-8cafb23eb7bd.jpg?v=1758262160","url":"https:\/\/shop.autorenwelt.de\/products\/once-upon-a-prime-von-fayez-fok-al-adeh","provider":"Autorenwelt Shop","version":"1.0","type":"link"}