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质数有什么特别之处?生命科学的新视角。

Are prime numbers special? Insights from the life sciences.

机构信息

Department of General Psychology, University of Padua, Padua, Italy.

出版信息

Biol Direct. 2022 May 27;17(1):11. doi: 10.1186/s13062-022-00326-w.

Abstract

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 their articulated properties. However, evidence from biology and experimental psychology suggest that prime numbers possess distinctive natural properties that pre-exist human grasping. The present work aims at reviewing the existing literature on prime numbers in the life sciences, including some recent experimental contributions employing newly hatched domestic chicks as animal model to test for spontaneous mechanisms allowing discrimination of primes from non-primes. Our overarching goal is that of discussing some instances of prime numbers in nature, with particular reference to their peculiar, non-mathematical, perceptual properties.

摘要

质数自公元前 300 年欧几里得定理首次提出以来就一直吸引着科学家的兴趣。如今,物理学家和数学家继续提出关于质数的新定理,试图全面解释它们的特性。然而,生物学和实验心理学的证据表明,质数具有独特的自然属性,这些属性先于人类的理解而存在。本工作旨在回顾生命科学中关于质数的现有文献,包括一些最近的实验贡献,这些贡献使用刚孵化的家养小鸡作为动物模型,以测试是否存在允许从非质数中区分质数的自发机制。我们的总体目标是讨论自然界中的一些质数实例,特别参考它们特殊的、非数学的感知属性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b7c4/9137056/a24ec12909e0/13062_2022_326_Fig1_HTML.jpg

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