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Omni-MATH / An n-string is a string of digits formed by writing the numbers 1,2,…,n in some order (in base ten). For example, one possible 10-string is 35728910461 What is the smallest n>1 suc…

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problem

An nn-string is a string of digits formed by writing the numbers 1,2,…,n1,2, \ldots, n in some order (in base ten). For example, one possible 10-string is 3572891046135728910461 What is the smallest n>1n>1 such that there exists a palindromic nn-string?
Plain-text mathematical notation (without MathML)
An n-string is a string of digits formed by writing the numbers 1,2,…,n in some order (in base ten). For example, one possible 10-string is 35728910461 What is the smallest n>1 such that there exists a palindromic n-string?
Original LaTeX notation
An $n$-string is a string of digits formed by writing the numbers $1,2, \ldots, n$ in some order (in base ten). For example, one possible 10-string is $$35728910461$$ What is the smallest $n>1$ such that there exists a palindromic $n$-string?

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