What is the answer to 116=4m
2 answers:
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Answer:
Proved
Step-by-step explanation:
To prove that for every prime p>3 12 divides
Proof:
Consider
Since p is prime p cannot be even. When p is odd, we have p+1 and p-1 as even number.
This gives us the both p+1 and p-1 are divisible by 2, hence product is divisible by 4
To prove the term is divisible by 3:
We have p-1,p, p+1 as consecutive integers hence any one must be divisible by 3. Since p is prime only either p-1 or p+1 is divisible by3
Hence we have product is divisible by 3 and 4
i.e. 12 divides , for all prime p >3