3, 7, 5 are all prime numbers.

Could you find others with the same properties?

(2) 2201 is the only non-palindrome known to have a palindromic cube.

2201^3 (= 2201 X 2201 X 2201) = 10662526601 (it is a palindromic number, i.e. the number remains the same when its digits are reversed.)

# Palindromic number

(3) The aim : to find such numbers that we can count the nth power of all digits in x and add them together. For example, here are known results:

The n-th power is 3:

153 = 1^3 + 5^3 + 3^3

370 = 3^3 + 0^3 + 7^3

371 = 3^3 + 7^3 + 1^3

407 = 4^3 + 0^3 + 7^3

Could you find others? Could you find numbers using other powers, such the second power, the fifth power, etc.?

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