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Prove that for every positive integer n, there exist i and j with 1≤ i < j≤n +1 such that n is a divisor of 77... 7-77...7. j digits i digits

Prove that for every positive integer n, there exist i and j with 1≤ i < j≤n +1 such that n is a divisor of 77... 7-77...7. j digits i digits

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Prove that for every positive integer n, there exist i and j with 1 < i < j≤ n +1 such that n is a divisor of 77...7-77...7. j digits i digits
Transcribed Image Text:Prove that for every positive integer n, there exist i and j with 1 < i < j≤ n +1 such that n is a divisor of 77...7-77...7. j digits i digits
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