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Omni-MATH / Let S be the smallest subset of the integers with the property that 0∈S and for any x∈S, we have 3x∈S and 3x+1∈S. Determine the number of non-negative integers in S less than 2008.

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problem

Let SS be the smallest subset of the integers with the property that 0∈S0 \in S and for any x∈Sx \in S, we have 3x∈S3 x \in S and 3x+1∈S3 x+1 \in S. Determine the number of non-negative integers in SS less than 2008.
Plain-text mathematical notation (without MathML)
Let S be the smallest subset of the integers with the property that 0∈S and for any x∈S, we have 3x∈S and 3x+1∈S. Determine the number of non-negative integers in S less than 2008.
Original LaTeX notation
Let $S$ be the smallest subset of the integers with the property that $0 \in S$ and for any $x \in S$, we have $3 x \in S$ and $3 x+1 \in S$. Determine the number of non-negative integers in $S$ less than 2008.

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Source and history

task_id
4bea1af9-8d98-5b73-bbc2-2aee4a88fe48
task_key
test--4bea1af9-8d98-5b73-bbc2-2aee4a88fe48
task_revision_id
1
config / split
/ test

Official source

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