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193 is a prime number from 101-200. 193 has 2 factors, 1 and 193. It is the 44th prime number, and the nineteenth prime number from 101-200.

Proofs

  • Yes — 193 can be divided by 1.
  • No — 193 cannot be divided by 2-192.
  • Yes — 193 can be divided by 193.


As an Exponent of Mersenne Number

2193 - 1 is divisible by 13,821,503, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 191.
    • There are no odd numbers between 191 and 193. As a result, they are twin primes.
  • The previous prime number before 191 is 181.

The numbers after

  • The next prime number is 197.
    • 193 and 197 are four numbers apart; therefore, they are cousin primes.
  • 199 is the next prime number after 193.
    • 193 and 199 are six numbers apart; therefore, they are sexy primes.