Results 111 to 120 of about 156,880 (305)
Formula for primes, twinprimes, number of primes and number of twinprimes [PDF]
Proceedings Mathematical Sciences, 1983 Assuming that the first n primes are known the author gives a formula for calculating \(p_{n+1}\), the \((n+1)st\) prime. Formulas are also given for the smallest twin prime (if any) in the interval \((p_ n,p^ 2_ n)\) and for both the number of primes and twin primes not exceeding x if x is between \(p_ n\) and \(p^ 2_ n\).
openaire +2 more sources
Molecular Oncology, EarlyView.Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau +36 more
wiley +1 more source
On the emergence of the Quanta Prime sequence
Arab Journal of Basic and Applied SciencesThis paper presents the Quanta Prime Sequence (QPS) and its foundational theorem, showcasing a unique class of polynomials with substantial implications.
Moustafa Ibrahim
doaj +1 more source
On an inequality about Euler's totient function [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we show that when Nₖ is a primorial and φ(Nₖ) is Euler's totient function, the inequality φ(Nₖ)44.
Cheng-Ting Wang
doaj +1 more source
Interrogating the immune landscape of microsatellite stable RAS‐mutated colon cancer
Molecular Oncology, EarlyView.COLOSSUS project RAS‐mutated MSS colon cancer study explored transcriptomics and immune cell density by immunohistochemistry (IHC), Immunoscore (IS), ISIC/TuLIS scores, mutation counts, and detected different prevalences but similar microenvironment composition across immune markers with clinical relevance for future immunotherapy combination ...
Rodrigo Dienstmann +61 more
wiley +1 more source
A note on Sturm-Liouville problems whose spectrum is the set of prime numbers
Electronic Journal of Differential Equations, 2011 We show that there is no classical regular Sturm-Liouville problem on a finite interval whose spectrum consists of infinitely many distinct primes numbers. In particular, this answers in the negative a question raised by Zettl in his book [9].
Angelo B. Mingarelli
doaj
Hippo pathway at the crossroads of stemness and therapeutic resistance in breast cancer
Molecular Oncology, EarlyView.Dysregulation of the Hippo pathway drives nuclear accumulation of YAP/TAZ, activating stemness‐related transcriptional programs that sustain breast cancer stemness and fuel therapeutic resistance across subtypes, underscoring Hippo signaling as a targetable vulnerability. Figure created and edited with BioRender.com.
Giulia Schiavoni +11 more
wiley +1 more source
Formula Factorization (Prime Numbers)
, 2018 Formula Factorization Prime Numbers (news 2018)
Alessandro Boatto +1 more
core +1 more source
Arithmetic progressions, prime numbers, and squarefree integers [PDF]
, 2004 summary:In this paper we establish the distribution of prime numbers in a given arithmetic progression $p \equiv l \hspace{4.44443pt}(\@mod \; k)$ for which $ap + b$ is ...
Clary, Stuart, Fabrykowski, Jacek
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Molecular Oncology, EarlyView.Pancreatic sensory neurons innervating healthy and PDAC tissue were retrogradely labeled and profiled by single‐cell RNA sequencing. Tumor‐associated innervation showed a dominant neurofilament‐positive subtype, altered mitochondrial gene signatures, and reduced non‐peptidergic neurons.
Elena Genova +14 more
wiley +1 more source