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MATH / How many of the same digits are found in the base 7 and base 8 representations…

Problem

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problem

How many of the same digits are found in the base 7 and base 8 representations of 62910629_{10}? For example, 1213121_{3} and 4135413_{5} would have one digit in common.
Plain-text mathematical notation (without MathML)
How many of the same digits are found in the base 7 and base 8 representations of 629₁₀? For example, 121₃ and 413₅ would have one digit in common.
Original LaTeX notation
How many of the same digits are found in the base 7 and base 8 representations of $629_{10}$? For example, $121_{3}$ and $413_{5}$ would have one digit in common.

level

Level 4

type

Number Theory

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Source and history

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