MathDB
2012 special numbers

Source: 2014 Peru Ibero TST P3

September 15, 2023
number theory

Problem Statement

A positive integer nn is called specialspecial if there exist integers a>1a > 1 and b>1b > 1 such that n=ab+bn=a^b + b. Is there a set of 20142014 consecutive positive integers that contains exactly 20122012 specialspecial numbers?
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