good problem

n is a positive integer. Prove that we cannot find an integer m and an integer r > 1 such that n(n + 1)(n + 2) = m^r.

6 Answers

trying to figure out case when n is even wait for sometime

another approach:

case1 :

RHS:
if m is even int, r is any intger;

m^r is always even and all the factors of m^r is even.

LHS:
here if n is even; n+1 is odd; n+2 is again even.

so, n+1 will have an odd factor.

dun see this plz...
am still thinkng...

b555 u need to confirm if its right or not

yup its right.

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