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mathmaniac
Active member
- Mar 4, 2013
- 188
Prove that the number 6n3 + 3 cannot be a perfect sixth power of
an integer for 'any natural number n.3
an integer for 'any natural number n.3
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6n^3 + 3 is not a perfect 6th power.
- Thread starter mathmaniac
- Start date
- Mar 22, 2013
- 573
Re: 6n^3+3 is not a perfect 6th power.
If we consider modulo 7, then 6n^3 + 7 is 2, 3 or 4 but 6-th powers of any integer are 0 or 1 modulo 7. Hence, QED.
If we consider modulo 7, then 6n^3 + 7 is 2, 3 or 4 but 6-th powers of any integer are 0 or 1 modulo 7. Hence, QED.