Question

Given 3^n+m is divisible by 13. Prove 3^{n+3}+m is also divisible by 13.

Collected in the board: Number Theory

Steven Zheng posted 1 year ago


Answer

3^n+m=13k

3^{n+3}+m

=27\cdotp 3^n+13k-3^n

=26\cdotp 3^n+13k

Steven Zheng posted 1 year ago

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