Published August 30, 2021
| Version v1
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On the Solutions of Diophantine Equation (Mp − 2) x + (Mp + 2) y = z 2 where Mp is Mersenne Prime
Creators
- 1. , Department of Mathematics, Faculty of Science and Technology Surindra Rajabhat University, Surin, Thailand.
Contributors
- 1. Publisher
Description
The Diophantine equation has been studied by many researchers in number theory because it helps in solving variety of complicated puzzle problems. From several studies, many interesting proofs have been found. In this paper, the researcher has examined the solutions of Diophantine equation (𝑴𝒑 − 𝟐) 𝒙 + (𝑴𝒑 + 𝟐) 𝒚 = 𝒛 𝟐 where 𝑴𝒑 is a Mersenne Prime and p is an odd prime whereas x, y and z are nonnegative integers. It was found that this Diophantine equation has no solution.
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- Is cited by
- Journal article: 2394-367X (ISSN)
Subjects
- ISSN
- 2394-367X
- Retrieval Number
- 100.1/ijbsac.D0216063421