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263 is a prime number from 201-300. 263 has 2 factors, 1 and 263. It is the 56th prime number, and the tenth prime number from 201-300.

Proofs[]

  • Yes — 263 can be divided by 1.
  • No — 263 cannot be divided by 2-262.
  • Yes — 263 can be divided by 263.

As an Exponent of Mersenne Number[]

2263 - 1 is divisible by numbers such as 23,671, and 13,572264,529,177, and is therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

  • The previous prime number is 257.
    • 259 is not a prime, because it is divisible by 7. 261 is divisible by 3.
    • 257 and 263 are six numbers apart; therefore, they are sexy primes.
  • The previous prime number before 257 is 251.
    • On a side note, 253 is divisible by 11 and 23.

The numbers after[]

  • The next prime number is 269.
    • 267 is divisible by 3.
    • 263 and 269 are six numbers apart; therefore, they are sexy primes.
  • 271 is the next prime number after 269.
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