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Engineering source-sink relations by prime editing confers heat-stress resilience in tomato and rice
CellShujia Li +2 more
exaly
Are prime numbers special? Insights from the life sciences [PDF]
Prime numbers have been attracting the interest of scientists since the first formulation of Euclid’s theorem in 300 B.C. Nowadays, physicists and mathematicians continue to formulate new theorems about prime numbers, trying to comprehensively explain ...
Maria Loconsole, Lucia Regolin
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The occurrence of prime numbers revisited
Based on an arithmetical and autocatalytic approach, the authors propose a solution for the occurrence of prime numbers. Exact arithmetical calculations are provided for: the closest prime to any given positive integer (or any number of bigger or smaller
Tapia Yañez, José +1 more
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A Relation between Prime Numbers and Twin Prime Numbers [PDF]
Every mathematician has been concerned with prime numbers, and has metwith mysterious surprises about them. Besides intuition, using empirical methods has an important role to findrelations between prime numbers.
A. Ergin
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Carmichael Numbers with Prime Numbers of Prime Factors
Under the assumption of Heath-Brown's conjecture on the first prime in an arithmetic progression, we prove that there are infinitely many Carmichael numbers $n$ such that the number of prime factors of $n$ is ...
Wright, Thomas
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Left panel: In red the map x′ = x/(1 − x ln x) (f*(x) = x expz(u|x|z−1 ln x) with z = 2 and u = 1). In blue the trajectory initiated at x0 = −1/2. Its positions approximate asymptotically (minus) the reciprocals of Prime numbers. Right panel: In red the
Alberto Robledo (344781) +1 more
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International audienceWe denote by π(x) the number of prime numbers smaller than or equal to x, and decide that p will always denote a prime ...
Joël Rivat, Rivat, Joel
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The occurrence of prime numbers revisited
Based on an arithmetical and autocatalytic approach, the authors propose a solution for the occurrence of prime numbers. Exact arithmetical calculations are provided for: the closest prime to any given positive integer (or any number of bigger or ...
Ernesto Tapia Moore, José Tapia Yañez
doaj +3 more sources
A new explicit algorithmic method for generating the prime numbers in order
This paper presents a new method for generating all prime numbers up to a particular number m∈N,m⩾9, by using the set theory. The proposed method is explicit and works oriented in finding the prime numbers in order.
Abd Elhakeem Abd Elnaby, A.H. El-Baz
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