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MATH / What is the largest integer less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13?

Problem

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problem

What is the largest integer less than 20102010 that has a remainder of 55 when divided by 7,7, a remainder of 1010 when divided by 11,11, and a remainder of 1010 when divided by 1313?
Plain-text mathematical notation (without MathML)
What is the largest integer less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13?
Original LaTeX notation
What is the largest integer less than $2010$ that has a remainder of $5$ when divided by $7,$ a remainder of $10$ when divided by $11,$ and a remainder of $10$ when divided by $13$?

level

Level 5

type

Number Theory

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