The Number

Given a positive integer less than 2000.
If it is not divisible by 43, then it is divisible by 41,
If it is not divisible by 53, then it is divisible by 43,
If it is not divisible by 41, then it is divisible by 53.
Find the number.

Difficulty level (1 very easy - 10 very hard): 1

Topics:
Number Theory -> Prime Numbers Arithmetic Number Theory -> Modular Arithmetic / Remainder Arithmetic -> Divisibility Rules Logic -> Reasoning / Logic Number Theory -> Greatest Common Divisor (GCD) and Least Common Multiple (LCM) Combinatorics -> Case Analysis / Checking Cases -> Processes / Procedures Number Theory -> Division
Sources:
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