The article focuses on the problems of prime gaps and zero spacings. Possible solutions of several related problems such as the greatest lower bound, the least upper bound of the zero spacings, and the least upper bound of the prime gaps are consider...
Let $G$ be a finite group and $\text{cd}(G)$ denote the character degree set for $G$. The prime graph $Δ(G)$ is a simple graph whose vertex set consists of prime divisors of elements in $\text{cd}(G)$, denoted $ρ(G)$. Two primes $p,q\in ρ(G)$ are...
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natural number k, there are infinitely many primes p such that p + 2k is also prime. The case k = 1 of de Polignac's conjecture is the twin prime conjecture
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Dec 9, 2025 · An Amazon Prime membership comes with much more than fast, free delivery. Check out the shopping, entertainment, healthcare, and grocery benefits, plus Prime Day updates available to …
In number theory, a left-truncatable prime is a prime number which, in a given base, contains no 0, and if the leading ("left") digit is successively removed
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An Amazon Prime membership comes with much more than fast, free delivery. Check out the shopping, entertainment, healthcare, and grocery benefits, plus Prime Day updates available to members.
Dec 9, 2025 · An Amazon Prime membership comes with much more than fast, free delivery. Check out the shopping, entertainment, healthcare, and grocery benefits, plus Prime Day updates available to …
Feb 25, 2026 · Next month's guide: New Prime Video shows and movies in March 2026 Last month's guide: New Prime Video shows and movies in January 2026 More streaming: New Netflix shows and …
Feb 25, 2026 · Next month's guide: New Prime Video shows and movies in March 2026 Last month's guide: New Prime Video shows and movies in January 2026 More streaming: New Netflix shows and …
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We introduce the cardinal invariant $aL^\prime(X)$ and show that $|X|\leq 2^{aL^\prime(X)χ(X)}$ for any Hausdorff space $X$ (a corollary of Theorem 4.4. This invariant has the properties a) $aL^\prime(X)=\aleph_0$ if $X$ is H-closed, and b) $aL(X)\l...
A natural approach to construct a prime theta-curve is to an add an arc to a prime knot. We study that approach for knots and arcs on a standard torus in the 3-sphere. We prove that each nontrivial torus knot union an essential arc is a prime theta-c...
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