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Results tagged with prime-numbers
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user 104986
Questions where prime numbers play a key-role, such as: questions on the distribution of prime numbers (twin primes, gaps between primes, Hardy–Littlewood conjectures, etc); questions on prime numbers with special properties (Wieferich prime, Wolstenholme prime, etc.). This tag is often used as a specialized tag in combination with the top-level tag nt.number-theory and (if applicable) analytic-number-theory.
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Must a prime power of the form 16t^2+1 be a prime?
Consider a prime power $q$ having the form $16t^2+1$, where $t$ is a positive integer. Numerical experiments show that when $t \leq 10^9$, each prime power $q$ with this form is indeed a prime.
In ge …
- 63
2
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Must a prime power of the form 16t^2+1 be a prime?
There has been a comprehensive treatment on the solutions of Diophantine equation with the form $x^2+C=y^n$, where $x$ and $y$ are positive integers, $n \ge 3$ and $C$ is a positive integer. (J. H. E. …
- 63