arxiv.org/abs/2511.13691v1
Let $p_n$ denote the $n$-th prime. In 2000, Panaitopol established the inequality $p_1 \cdots p_n > p_{n+1}^{n - π(n)}$ for all $n \geq 2$, where $π(x)$ is the prime counting function. In 2021, Yang and Liao refined this by introducing the exponent...
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www.reddit.com/r/nba/comments/1pt4trl/nba_more_than_87_million_people_in_the_us_have/
More than 87 million people in the U.S. have watched NBA games this season across NBC/Peacock, ESPN, Amazon Prime Video and NBA TV, **the most viewers in 15 years and up 89% vs. last year.** (Exclude...
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peptone.io/press-release/peptone-closes-a-40m-series-a-funding-round-led-by-f-prime-and-bessemer-venture-partners/
Points: 2 | Comments: 1 | Author: ktamiola
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Feb 26, 2026 · Currently you are able to watch "Antiks - Season 1" streaming on Amebatv Amazon Channel, Sensical Amazon Channel, Amazon Prime Video, Amazon Prime Video with Ads or buy it …
arxiv.org/abs/1904.00499v2
The Firoozbakht, Nicholoson, and Farhadian conjectures can be phrased in terms of increasingly powerful conjectured bounds on the prime gaps $g_n := p_{n+1}-p_n$. \[ g_n \leq p_n \left(p_n^{1/n} -1 \right)\qquad\qquad\qquad (n \geq 1; \; Firoozbakht)...
arxiv.org/abs/1903.03160v3
Let $q$ be a prime power and $n, r$ integers such that $r\mid q^n-1$. An element of $\mathbb{F}_{q^n}$ of multiplicative order $(q^n-1)/r$ is called \emph{$r$-primitive}. For any odd prime power $q$, we show that there exists a $2$-primitive element...
arxiv.org/abs/0907.1940v4
Let $ω(n)$ denote the number of distinct prime factors of $n$. Then for any given $K\geq 2$, small $ε>0$ and sufficiently large (only depending on $K$ and $ε$) $x$, there exist at least $x^{1-ε}$ integers $n\in[x,(1+K^{-1})x]$ such that $ω(nj\...
