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mathmaniac
Well-known member
- Mar 4, 2013
- 188
Prove that there exists a power of 3 that ends in 001.
consider the integers:Prove that there exists a power of 3 that ends in 001.
I don't know if there's an analytic way to enumerate all such numbers. But it can be shown then the number of such numbers which are less then 1000 divides $\phi(1000)$.Good work!!!So quick!!!
Now what odd numbers can we replace for 001???