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233 is a prime number from 201-300. 233 has 2 factors, 1 and 233. It is the 51st prime number, and the fifth prime number from 201-300.

## Proofs

• — 233 can be divided by 1.
• — 233 cannot be divided by 2-232.
• — 233 can be divided by 233.

## As an Exponent of Mersenne Number

2233 - 1 is divisible by numbers such as 1,399135,607, and 622,577, and is therefore not a prime number.

## Relationship with other odd numbers

### The numbers before

• The previous prime number is 229.
• Notably, 231 is divisible by 11 and therefore not a prime number.
• 229 and 233 are four numbers apart; therefore, they are cousin primes.
• The previous prime number before 229 is 227.
• 227 and 233 are six numbers apart; therefore, they are sexy primes.

### The numbers after

• The next prime number is 239.
• 237 is divisible by 3.
• 233 and 239 are six numbers apart; therefore, they are sexy primes.
• 241 is the next prime number after 239.
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