A Note On the Storage Requirement for AKS Primality Testing Algorithm.
Zhengjun Cao · IACR Cryptology ePrint Archive · 2013
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 should not be simply estimated as usual in terms of the amount of arithmetic operations. 1