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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

• — 223 can be divided by 1.
• — 223 cannot be divided by 2-222.
• — 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.