TITLE:
Products of Odd Numbers or Prime Number Can Generate the Three Members’ Families of Fermat Last Theorem and the Theorem Is Valid for Summation of Squares of More Than Two Natural Numbers
AUTHORS:
Susmita Pramanik, Deepak Kumar Das, Panchanan Pramanik
KEYWORDS:
Fermat Last Theorem, Generation of Fermat’s Numbers, Extension of Fermat’s Expression, Fermat’s Expression from Products of Odd Numbers
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.13 No.10,
October
10,
2023
ABSTRACT: Fermat’s last theorem, had the statement that there are no natural numbers A, B, and C such that An + Bn = Cn, in which n is a natural number greater than 2. We have shown that any product of two odd numbers can generate Fermat or Pythagoras triple (A, B, C) following n = 2 and also it is applicable A2 + B2 + C2 + D2 + so on =An2where all are natural numbers.