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deleting integers from a list 1 to 2022, at least 1 digit is prime

Source: 2022 Paraguayan Mathematical Olympiad L3 p3 - OMAPA

October 24, 2022
number theory

Problem Statement

From a list of integers from 11 to 20222022, inclusive, delete all numbers in which at least one of its digits is a prime How many numbers remain without erasing?