1.) What is the remainder when 5 to the 999,999th power is divided by 7?
2.) A palindrome is a number that reads the same forward and backward. The largest possible 4-digit palindrome in base 3 can be expressed as a 3-digit palindrome in another base b>2. What is b?
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2.) A palindrome is a number that reads the same forward and backward. The largest possible 4-digit palindrome in base 3 can be expressed as a 3-digit palindrome in another base b>2. What is b?
The largest 4 digit palindrome in base 3 is 2222.
Trying all the bases, in base 6, 2222 (base 3) = 212 (base 6).
=^._.^=