Prime Numbers Wiki

73 is a prime number from 1-100. 73 has 2 factors, 1 and 73. It is the 21st prime number, and the 21st prime number from 1-100.

Proofs[]

  • — 73 is divisible by 1.
  • — 73 is not divisible by 2-72.
  • — 73 is divisible by 73.

Therefore, 73 has two factors and is prime.

As an Exponent of Mersenne Number[]

273 - 1 is divisible by 439, and is therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

  • 37 is an emirp with 73.
    • Additionally, 37 is the 12th prime number and 73 is the 21st prime number.
      • 37 is related to 73 in a multitude of other ways.
  • 67 is the second previous prime number.
    • The difference between 73 and 67 is 6. Therefore, they are sexy primes.
  • 69 is a composite number; its prime factorization is 3 * 23.
  • 71 is the previous prime number.
    • The difference between 73 and 71 is 2. Therefore, they are twin primes.

The numbers after[]

  • 75 is the next odd number. It is a composite number; its prime factorization is 3 * 52.
  • 77 is also a composite number; its prime factorization is 7 * 11.
  • 79 is the next prime number.
    • The difference between 79 and 73 is 6. Therefore, they are sexy primes.

In science[]

In chronology[]

  • 73 is the amount of days in of a non-leap year.
  • The 73rd day of a non-leap year is March 14, which is Pi Day.
    • The 73rd day of a leap year is March 15.

Trivia[]

  • 73 is the smallest prime factor of the first composite generalized base 10 Fermat number:
  • 73 is the only prime repunit in base 8 (1118).
  • 73 is one of the left-truncatable and right-truncatable primes in base 10.