Palindrome
The year 1991 was a palindrome, that is, it reads the same backwards and forwards.
Can you find the smallest palindromic integer whose cube root is not a palindromic integer. For example, 1331 does not work because its cube root is 11, a palindrome.
-- Journal of Recreational Mathematics
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Solution:
10662526601 = 2201³
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i was wondering how one should proceed to solve such kinds of problems?! (without using computers and programming)
The year 1991 was a palindrome, that is, it reads the same backwards and forwards.
Can you find the smallest palindromic integer whose cube root is not a palindromic integer. For example, 1331 does not work because its cube root is 11, a palindrome.
-- Journal of Recreational Mathematics
-------------------------
Solution:
10662526601 = 2201³
-------------------------
i was wondering how one should proceed to solve such kinds of problems?! (without using computers and programming)