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Download PDFOpen PDF in browserPrime Solutions to the Diophantine Equation 2^n = p^2 + 7EasyChair Preprint 123234 pages•Date: February 29, 2024AbstractThe Diophantine equation 2^n = p^2 + 7 for which p is prime and n is integers with p > 0, is examined in this work. It is demonstrated by examining the characteristics of the equation that the only solutions meeting these requirements are p = 3 with n = 5 and p = 5 with n = 7. In order to analyze the above equation, it is necessary to look at the properties of primes and how they relate to powers of two. These results advance our knowledge of prime numbers and how they behave in certain mathematical problems. Keyphrases: Diophantine equation, Prime, integers Download PDFOpen PDF in browser |
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