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223 is a prime number from 201-300. 223 has 2 factors, 1 and 223. It is the 48th prime number, the second prime number from 201-300, and the third Carol prime.

Proofs[]

  • Yes — 223 can be divided by 1.
  • No — 223 cannot be divided by 2-222.
  • Yes — 223 can be divided by 223.


As an Exponent of Mersenne Number[]

2223 - 1 is divisible by numbers such as 18,287, 196,687, 1,466,449, and 2,916,841, and is therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

  • The previous prime number is 211.
    • 211 and 223 are twelve numbers apart. It is a large gap.
    • In particular, 213 and 219 are divisible by 3, while 217 is divisible by 7.
    • Notably, 221 can be factored as 13 x 17.
  • The previous prime number before 211 is 199. It is another equally huge gap.

The numbers after[]

  • The next prime number is 227.
    • 223 and 227 are four numbers apart; therefore, they are cousin primes.
  • 229 is the next prime number after 227.
    • 223 and 229 are six numbers apart; therefore, they are sexy primes.


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