For a positive integer n, let P(n) denotes the largest prime divisor of n and define the set: 𝒮(x)=𝒮={n≤x:n does not divide P(n)!}. Paul Erdös has proposed that |S|=o(x) as x→∞, where |S| is the number of n∈S. This was proved by Ilias Kastanas.
Safwan Akbik
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Primes and the Lambert W function
The Lambert W function, implicitly defined by W ( x ) e
Matt Visser
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Shifting evaluation windows: predictable forward primes with long SOAs eliminate the impact of backward primes. [PDF]
Recent work suggests that people evaluate target stimuli within short and flexible time periods called evaluation windows. Stimuli that briefly precede a target (forward primes) or briefly succeed a target (backward primes) are often included in the ...
Daniel A Fockenberg +3 more
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This work is on the nature and properties of graphs which arise in the study of centered polygonal lacunary functions. Such graphs carry both graph-theoretic properties and properties related to the so-called p-sequences found in the study of centered ...
Keith Sullivan +2 more
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Understanding the role of the 'self' in the social priming of mimicry. [PDF]
People have a tendency to unconsciously mimic other's actions. This mimicry has been regarded as a prosocial response which increases social affiliation.
Yin Wang, Antonia F de C Hamilton
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Semantic priming, prime reportability, and retroactive priming are interdependent [PDF]
In two experiments, semantic analysis of prime words was measured in terms of facilitation in naming a semantically related target word. Targets were degraded but gradually clarified until the subject named them. Subjects reported the prime after naming the target. Experiment 1 used semantic associates as primes at a 50-msec prime-target stimulus onset
openaire +2 more sources
Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields
In this paper, we study free probability on (weighted-)semicircular elements in a certain Banach *-probability space ( LS , τ 0 ) induced by measurable functions on p-adic number fields Q p over primes p .
Ilwoo Cho, Palle Jorgensen
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Morphological Priming Effects in L2 English Verbs for Japanese-English Bilinguals
For native (L1) English readers, masked presentations of past-tense verb primes (e.g., fell and looked) produce faster lexical decision latencies to their present-tense targets (e.g., FALL and LOOK) than orthographically related (e.g., fill and loose) or
Jessie Wanner-Kawahara +5 more
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Verifying the Firoozbakht, Nicholson, and Farhadian Conjectures up to the 81st Maximal Prime Gap
The Firoozbakht, Nicholson, and Farhadian conjectures can be phrased in terms of increasingly powerful conjectured bounds on the prime gaps g n : = p n + 1 - p n .
Matt Visser
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Restriction theory of the Selberg sieve, with applications [PDF]
The Selberg sieve provides majorants for certain arithmetic sequences, such as the primes and the twin primes. We prove an L^2-L^p restriction theorem for majorants of this type.
Green, Ben, Tao, Terence
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