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Guava apple 114 Posted 9 years ago
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Maths

The number 12321 is a palindrome, since it reads the same forwards and backwards. In this century, how many years have been or will be palindromes? i.e., is 2017 a palindrome, 2018? 2000?

  

Top answer

All the years in this century have four digits and the first two have to be 20. The only possible palindrome has the reverse of 20, namely 02. Therefore, we have already passed the palindrome year for this century, which was 2002.

  • All the years in this century have four digits and the first two have to be 20.
  • The only possible palindrome has the reverse of 20, namely 02.
  • Therefore, we have already passed the palindrome year for this century, which was 2002.
  • In the following century we'll have 2112, 2222, 2332, 2442, 2552, etc.
  • Well, not "we" but somebody, and then only if the planet doesn't explode for one reason or another.
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1 Answers
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All the years in this century have four digits and the first two have to be 20.

The only possible palindrome has the reverse of 20, namely 02. Therefore, we have already passed the palindrome year for this century, which was 2002.

In the following century we'll have 2112, 2222, 2332, 2442, 2552, etc. Well, not "we" but somebody, and then only if the planet doesn't explode for on

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