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83 is a prime number from 1-100. 83 has 2 factors, 1 and 83. It is the 23rd prime number, and the 23rd prime number from 1-100. Furthermore, it is the largest prime number spelled without the letter “n”.

Proofs

  • Yes — 83 can be divided by 1.
  • No — 83 cannot be divided by 2-82.
  • Yes — 83 can be divided by 83.

As an Exponent of Mersenne Number

283 - 1 can be divided by 167, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

  • The previous odd number, 81, is not a prime number. It is a square of 9 and the fourth power of 3.
  • The odd number previous to 81 is 79. 79 is a prime number.
    • 79 and 83 are four numbers apart; therefore, they are cousin primes.
  • The odd number previous to 79 is 77. 77 is not a prime number. It is divisible by 7 and 11.

The numbers after

  • The next odd number, 85, is not a prime number. It is divisible by 5.
  • 87, the odd number following 85, is also not a prime number. It is divisible by 3.
  • 89, the odd number following 87, is a prime number.
    • 83 and 89 are six numbers apart; therefore, they are sexy primes.