Wordy theorem

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A theorem states that if for a natural number nn all the following statements are true:

  • nn is even (A)(A) or nn is odd (B)(B)

  • n>1000n > 1000 (CC) or n<10n < 10 (DD)

  • nn is a prime number (EE)

nn is not divisible by 1111. Write down conditions mentioned in this theorem as a logical statement and simplify it. Write ++ as ++ and \cdot as * in your answer. Your answer should consist of 22 terms and no brackets.

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