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An unusual number (Posted on 2024-11-06) Difficulty: 3 of 5
N is a positive integer with the following properties.
  • N and N+2 are both composite, and the smallest prime that divides either N or N+2 is P.
  • For any positive integer M<N such that M and M+2 are both composite, either M or M+2 is divisible by some prime less than P.
  • N+6 and N+8 are both composite, and the smallest prime that divides either N+6 or N+8 is greater than P.
What is N?

No Solution Yet Submitted by Math Man    
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  Subject Author Date
Solutioncomputer solutionCharlie2024-11-06 11:39:25
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