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Find the number (my version)


jasen
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based on this @bonanova puzzle, I create another similar puzzle

You are given the following ten statements and are asked to determine a particular number.

  1. At least one of statements 7 and 8 is true.
  2. This either is the first true or the first false statement.
  3. The number is a prime number.
  4. The first true statement multiplied by the last false statement divides the number.
  5. The number of divisors of the number is greater than the sum of the numbers of the true statements.
  6. The number has exactly 4 prime divisors.
  7. The number is bigger than 1000.
  8. The numbers of true statements do not equal the numbers of false statement
  9. One of the divisors is a cube number bigger than 1.
  10. There are 3 consecutive False statements and 3 consecutive True statements.
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