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4,001 is a prime number between 4,001 and 5,000. 4,001 has 2 factors, 1 and 4,001. It's the 551st prime number and the 1st prime number between 4,001 and 5,000.

Proofs[]

  • Yes — 4,001 can be divided by 1
  • No — 4,001 cannot be divided by 2-4,000
  • Yes — 4,001 can be divided by 4,001

Relationship with other odd numbers[]

The numbers before[]

  • The previous prime number is 3,989, 12 numbers away.
  • 3,991 can be factorized as 13 × 307.
  • 3,997 can be factorized as 7 × 571.

The numbers after[]

  • The next prime number is 4,003, 2 numbers away.
  • They are twin primes.
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