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137 is a prime number from 101-200. 137 has 2 factors, 1 and 137. It is the 33rd prime number, and the eighth prime number from 101-200.

Proofs

  • Yes — 137 can be divided by 1.
  • No — 137 cannot be divided by 2-136.
  • Yes — 137 can be divided by 137.

As an Exponent of Mersenne Number

2137 - 1 is not a prime number. It is divisible by a 20-digit number:

32032215596496435569

Relationship with other odd numbers

The numbers before

  • The previous prime number is 131.
    • In particular, 133 is divisible by 7, therefore not a prime number.
    • 131 and 137 are six numbers apart; therefore, they are sexy primes.
  • The previous prime number before 131 is 127.

The numbers after

  • The next prime number is 139.
    • There are no odd numbers between 137 and 139. As a result, they are twin primes.
  • 149 is the next prime number after 139.
    • Notably, 143 is not a prime number because it can be factored as 11 x 13.