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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
Department of Chemistry and Nanoscience, GLA University, Mathura, India
Department of Chemistry and Nanoscience, GLA University, Mathura, India
Agriculture and Ecology Research Unit, Indian Statistical Institute, Kolkata, India
- 1 Department of Chemistry and Nanoscience, GLA University, Mathura, India
- 2 Department of Chemistry and Nanoscience, GLA University, Mathura, India
- 3 Agriculture and Ecology Research Unit, Indian Statistical Institute, Kolkata, India
Advances in Pure Mathematics·Volume 13 (2023)·Pages 635–641·Published 10 October 2023·DOI10.4236/apm.2023.1310043
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Abstract
Fermat’s last theorem, had the statement that there are no natural numbers A, B, and C such that A n + B n = C n , 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 A 2 + B 2 + C 2 + D 2 + so on = A n 2 where all are natural numbers.
KeywordsFermat Last TheoremGeneration of Fermat’s NumbersExtension of Fermat’s ExpressionFermat’s Expression from Products of Odd Numbers
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