MathDB
Sylvester-Schur revised

Source: 2020 China Southeast 10.7

August 7, 2020
number theory

Problem Statement

Given any prime p≥3p \ge 3. Show that for all sufficient large positive integer xx, at least one of x+1,x+2,⋯ ,x+p+32x+1,x+2,\cdots,x+\frac{p+3}{2} has a prime divisor greater than pp.
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