The sharp threshold for making squares

Consider a random sequence of $N$ integers, each chosen uniformly and independently from the set $\{1,\dots,x\}$. Motivated by applications to factorisation algorithms such as Dixon's algorithm, the quadratic sieve, and the number field sieve, Pomerance in 1994 posed the following problem: how...

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Bibliographic Details
Main Authors: Balister, P, Bollobás, B, Morris, R
Format: Journal article
Language:English
Published: Mathematical Sciences Publishers 2018