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7-digit number by 3 terms of A.P. (IV Soros Olympiad 1997-98 R3 9.2)

Source:

June 1, 2024
number theoryalgebraArithmetic Progression

Problem Statement

The student wrote on the board three natural numbers that are consecutive members of one arithmetic progression. Then he erased the commas separating the numbers, resulting in a seven-digit number. What is the largest number that could result?