Let $a \equiv 1 \pmod{4}$. Find the value of $6a + 5 \pmod{4}$Express your answer as a residue between 0 and the modulus.
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Let
a≡1(mod4).
Find the value of
6a+5(mod4)
Express your answer as a residue between 0 and the modulus.
6a+5(mod4)≡6a+5−4(mod4)≡6a+1(mod4)|a≡1(mod4)≡6⋅1+1(mod4)≡7−1⋅4(mod4)≡7−4(mod4)≡3(mod4)
The answer is 3.