lets start a number theory marathon..... QUESTION 1- N is a 50-digit number (in decimal representation). All digits except the 26th digit (from the left) are 1. If N is divisible by 13, find its 26-th digit.

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TopNewestHint: Note that \(111111 \equiv 0 \pmod{13} \)As such, the \(26\)th digit will be \(3\) – Aditya Parson · 3 years, 9 months ago

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– Superman Son · 3 years, 9 months ago

now u give a questionLog in to reply

Try this. – Aditya Parson · 3 years, 9 months ago

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\( 111111 \equiv 0 \pmod{13} \) so the 26th digit is 3 – Tan Li Xuan · 3 years, 9 months ago

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I have seen this question before..... – Shourya Pandey · 3 years, 9 months ago

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– Superman Son · 3 years, 9 months ago

yes it is a rmo questionLog in to reply