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MathNet 2004 — Part 03 Question 3

Math Olympiad Vault · MathNet 2004 — Part 03

Question 3

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 $n \gt 1$ such that there exists a palindromic $n$-string?