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181 is a prime number from 101-200. 181 has 2 factors, 1 and 181. It is the 42nd prime number, and the seventeenth prime number from 101-200.

Proofs

  • Yes — 181 can be divided by 1.
  • No — 181 cannot be divided by 2-180.
  • Yes — 181 can be divided by 181


As an Exponent of Mersenne Number

2181 - 1 is divisible by number such as 43,441, 1,164,193 and 7,648,337, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 179.
    • There are no odd numbers between 179 and 181. As a result, they are twin primes.
  • The previous prime number before 179 is 173.

The numbers after

  • The next prime number is 191.
    • Notably, 187 is not a prime number. It can be factored as 11 x 17.
  • 193 is the next prime number after 191.