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Problem 4 — Emergency NT Problem

Source: 46th Austrian Mathematical Olympiad National Competition Part 1 Problem 4

July 14, 2018
Austrianumber theory

Problem Statement

A police emergency number is a positive integer that ends with the digits 133133 in decimal representation. Prove that every police emergency number has a prime factor larger than 77.
(In Austria, 133133 is the emergency number of the police.)
(Robert Geretschläger)