A number theory problem by Brilliant Member

How many 8-digit palindromic numbers are composite (i.e. not prime)?

Details and Assumptions:

  • A palindromic number is a number that remains the same when its digits are reversed: for example, \(77\) and \(15851.\)
  • Assume that numbers are written without leading zeros. For instance, \(00022000\) is not a valid 8-digit palindrome, but \(10000001\) is.
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