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白痴学者中的质数识别:他们能计算质数吗?

Prime number identification in idiots savants: can they calculate them?

作者信息

Welling H

机构信息

Department of Medical Psychology, Santa Maria Hospital, Lisbon, Portugal.

出版信息

J Autism Dev Disord. 1994 Apr;24(2):199-207. doi: 10.1007/BF02172096.

Abstract

Several idiots savants who were able to identify prime numbers have been reported. This ability requires complex calculations, because no simple algorithms are known for determining primes. Many savants, however, who demonstrate this ability, do not possess the arithmetical skills to perform such calculations. Explanations offered for the feats of idiots savants are reviewed in the light of their applicability to the cases of prime identification. Existing models cannot fully explain prime number identification for savants with weak arithmetical skills. The author shows that through the natural tendency of visual perception to be organized symmetrically, a distinction between prime and nonprime numbers can be made. This process could both explain the origin of the interest and the ability to identify prime numbers in mathematically weak savants.

摘要

有报道称,有几位白痴学者能够识别质数。这种能力需要复杂的计算,因为目前还没有已知的简单算法来确定质数。然而,许多表现出这种能力的白痴学者并不具备进行此类计算的算术技能。针对白痴学者的这些壮举所给出的解释,根据其对质数识别案例的适用性进行了审视。现有的模型无法完全解释算术技能较弱的白痴学者对质数的识别。作者表明,通过视觉感知自然的对称组织倾向,可以区分质数和非质数。这一过程既能解释数学能力较弱的白痴学者对质数产生兴趣的根源,也能解释他们识别质数的能力。

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