Prime Numbers Wiki
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263 is a 3-digit prime number. 263 has 2 factors, 1 and 263. It is the 56th prime number, and the tenth prime number from 201-300.

Proofs[]

  • — 263 is divisible by 1.
  • — 263 is not divisible by 2-262.
  • — 263 is divisible by 263.

Therefore, 263 is a prime number.

As an Exponent of Mersenne Number[]

2263 - 1 is divisible by 23,671, 13,572,264,529,177, etc., and is therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

  • 257 is the prime number preceding 263.
    • The difference between 263 and 257 is 6. Therefore, they are sexy primes.
  • 259 is a composite number. Its prime factorization is 7 × 37.
  • 261 is a composite number. Its prime factorization is 32 × 29.

The numbers after[]

  • 265, the odd number following 263, is a composite number. Its prime factorization is 5 × 53.
  • 267 is a composite number. Its prime factorization is 3 × 89.
  • 269 is the prime number following 263.
    • The difference between 269 and 263 is 6. Therefore, they are sexy primes.

Trivia[]

  • 263 is a balanced prime, since it is equal to the arithmetic mean of the two primes surrounding it.
  • 263 is a Chen prime, since 265 = 263 + 2 is a semiprime.
  • 263 is a safe prime, since is also prime.
  • 263 is a happy prime:
    • 22 + 62 + 32 = 49
    • 42 + 92 = 97
    • 92 + 72 = 130
    • 12 + 32 + 02 = 10
    • 12 + 02 = 1

Navigation[]

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