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Results tagged with prime-numbers
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user 49394
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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Sum of reciprocals of maximal prime gaps and primes
Let $G_r =$ http://oeis.org/A005250, and $P_r =$ http://oeis.org/A002386.
$\sum_{n=1}^{\infty}{\frac{1}{G_r}} = c_1$
$\sum_{n=1}^{\infty}{\frac{1}{P_r}} = c_2$
Do the constants c_1 and c_2 exist?
The …
- 145
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Yitang Zhang's paper [closed]
I just want make thing clear for myself. Others may have asked before in different ways. Does Yitang Zhang's paper prove that for any given length gap $g_n > N$ there is a prime $p_n$ for which there …
- 105k
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logarithmic integral question
Define: $\operatorname{li}(x)=\int_{0}^{x}\dfrac{1}{\log(t)}\operatorname{d}t$.
When does the following statement fail?
With $\theta = 1 + \frac{1}{\operatorname{li}(x)}$, for $x \ge x_0$,
$\opera …
- 145