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139 is a 3-digit prime number. 139 has 2 factors, 1 and 139. It is the 34th prime number, and the ninth prime number from 101-200.

Proofs[]

  • — 139 is divisible by 1.
  • — 139 is not divisible by 2-138.
  • — 139 is divisible by 139.

Therefore, 139 is a prime number.

As an Exponent of Mersenne Number[]

2139 - 1 is divisible by 5,625,767,248,687, and is therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

  • 131 is the second previous prime number.
  • 133 is a composite number. Its prime factorization is 7 × 19.
  • 135 is also a composite number. Its prime factorization is 33 × 5.
  • 137 is the prime number preceding 139.
    • The difference between 139 and 137 is 2. Therefore, they are twin primes.

The numbers after[]

  • 141 is a composite number. Its prime factorization is 3 × 47.
  • 143 is also a composite number. Its prime factorization is 11 × 13.
  • 145 is yet another composite number. Its prime factorization is 5 × 29.
  • 147 is unsurprisingly a composite number. Its prime factorization is 3 × 72.
  • 149 is the prime number following 139.
  • 151 is the prime number following 149.

Trivia[]

  • 139 is the smallest prime number before a prime gap of length 10.
  • 139 is a Chen prime, since 139 + 2 = 141 is a semiprime.
  • 139 is the smallest factor of the smallest prime-indexed Lucas number that is not prime, which is 64,079.
  • 139 is the sum of five consecutive prime numbers (19 + 23 + 29 + 31 + 37).

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