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67 is a prime number from 1-100. 67 has 2 factors, 1 and 67. It is the nineteenth prime number, and the nineteenth prime number from 1-100.

Proofs

  • Yes — 67 can be divided by 1.
  • No — 67 cannot be divided by 2-66.
  • Yes — 67 can be divided by 67.


As an Exponent of Mersenne Number

267 - 1 can be divided by 193,707,721, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 61. Al numbers between 61 and 67 are composite.
    • Among them, 63 is divisible by 3, while 65 is divisible by 5.
    • 61 and 67 are six numbers apart; therefore, they are sexy primes.

The numbers after

  • The next odd number, 69, is not a prime number. It is divisible by 3.
  • 71, the odd number following 69, is a prime number.
    • 67 and 71 are four numbers apart; therefore, they are cousin primes.
  • 73, the odd number following 71, is a prime number.
    • 67 and 73 are six numbers apart; therefore, they are sexy primes.