perplexus.info :: Just Math : Count the palindromes

Count the palindromes (Posted on 2015-11-11)

N is both a a palindrome and a sum of eleven consecutive positive integers.

How many possible values for N exist below 80,000?
Please provide the lowest and the highest samples.

No Solution Yet Submitted by Ady TZIDON

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Simplifying the question

| Comment 3 of 7 |

Any multiple of 11 that is 66 or higher is necessarily the sum of 11 consecutive positive integers.

So, this is really a way of asking "How many multiples of 11 between 66 and 80,000 are palindromes?"

Posted by Steve Herman on 2015-11-11 11:01:52

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