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What is Induction Proof of Divisibility by 1897 about?

This mathematical induction problem asks to prove that the expression 2903n - 803n - 464n + 261n is divisible by 1897 for any natural number n. The solution uses the principle of mathematical induction to show that if the expression is divisible by 1897 for integers k and k-1, then it is also divisible for k+1. Alternatively, the problem can be solved using modular arithmetic and showing the expression is divisible by both prime factors of 1897, 7 and 271.

Author

bob jane

Language

EN