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MATH / As n ranges over the positive integers, what is the maximum possible value that the greatest common divisor of 13n+8 and 5n+3 can take?

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problem

As nn ranges over the positive integers, what is the maximum possible value that the greatest common divisor of 13n+813n + 8 and 5n+35n+3 can take?
Plain-text mathematical notation (without MathML)
As n ranges over the positive integers, what is the maximum possible value that the greatest common divisor of 13n+8 and 5n+3 can take?
Original LaTeX notation
As $n$ ranges over the positive integers, what is the maximum possible value that the greatest common divisor of $13n + 8$ and $5n+3$ can take?

level

Level 4

type

Number Theory

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