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arxiv.org/abs/1606.08690v5
Let $(M_n)_{n\geq0}$ be the Mersenne sequence defined by $M_n=2^n-1$. Let $ω(n)$ be the number of distinct prime divisors of $n.$ In this short note, we present a description of the Mersenne numbers satisfying $ω(M_n)\leq3$. Moreover, we prove that...
arxiv.org/abs/1301.0251v1
In this note we prove that {equation*} {np^s\choose mp^s+r}\equiv (-1)^{r-1}r^{-1}(m+1){n\choose m+1}p^s \pmod{p^{s+1}} {equation*} where $p$ is any prime, $n$, $m$, $s$ and $r$ are nonnegative integers such that $n\ge m$, $s\ge 1$, $1\le r\le p^...
www.nytimes.com/2016/10/31/world/europe/icelands-prime-minister-resigns-after-pirate-party-makes-strong-gains.html
Points: 147 | Comments: 45 | Author: doppp
arxiv.org/abs/quant-ph/9804039v1
A Quantum Computer is a new type of computer which can efficiently solve complex problems such as prime factorization. A quantum computer threatens the security of public key encryption systems because these systems rely on the fact that prime fact...
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arxiv.org/abs/1503.06033v4
Let $O$ be an order in a quadratic number field $K$ with ring of integers $D$, such that the conductor $\mathfrak F = f D$ is a prime ideal of $O$, where $f\in\mathbb Z$ is a prime. We give a complete description of the $\mathfrak F$-primary ideals o...
arxiv.org/abs/2003.06267v4
In the simplest form of event structure, a prime event structure, an event is associated with a unique causal history, its prime cause. However, it is quite common for an event to have disjunctive causes in that it can be enabled by any one of multip...
en.wikipedia.org/wiki/The_Metamorphosis_of_Prime_Intellect
The Metamorphosis of Prime Intellect is a 1994 novel by Roger Williams, a programmer living in New Orleans. It deals with the ramifications of a powerful
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