Cryptology ePrint Archive: Report 2013/449

A Note On the Storage Requirement for AKS Primality Testing Algorithm

Zhengjun Cao

Abstract: We remark that AKS primality testing algorithm needs about 1,000,000,000 G (gigabyte) storage space for a number of 1024 bits. Such storage requirement is hard to meet in practice. To the best of our knowledge, it is impossible for current operating systems to write and read data in so huge storage space. Thus, the running time for AKS algorithm shuould not be simply estimated as usual in terms of the amount of arithmetic operations.

Category / Keywords: foundations / primality test; AKS algorithm

Date: received 18 Jul 2013

Contact author: caozhj at shu edu cn

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Version: 20130722:123712 (All versions of this report)

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