Formula drawn from Fermat's Last Theorem

Please keep in mind that this book is not a lierary or artistic book. Explain the hidden numbers combinations from ancient numbers philosophy. Number theory is a vast field of mathematics. In this book are some discoveries of interesting and unexpected relationships of numbers drew from Fermat's Last Theorem. Sum of powers, multiplication of powers of some selected integers as well as divisions of selected numbers from the ancient Egyptian multiplication which added to fermat last theorem to fascinate the numbers and their combinations. Attempt to solve the Collatz conjecture in another way. Additive 50-51 Rupees riddle solution theory.