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[[Category:2-Digit Prime Numbers]]
 
[[Category:2-Digit Prime Numbers]]
 
[[Category:Twin Primes]]
 
[[Category:Twin Primes]]
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[[Category:Circular Primes]]

Revision as of 01:43, March 2, 2014

71 is a prime number from 1-100. 71 has 2 factors, 1 and 71. It is the twentieth prime number, and the twentieth prime number from 1-100.

Proofs

  • 1 can divide 71
  • 2 cannot
  • 3 cannot
  • 4 - 70 cannot
  • 71 can!

Relationship with other odd numbers

The numbers before

  • The previous odd number, 69, is not a prime number. It is divisible by 3.
  • The odd number previous to 69 is 67. 67 is a prime number.
    • 67 and 71 are four numbers apart; therefore, they are cousin primes.
  • The odd number previous to 67 is 65. 65 is not a prime number. It is divisible by 5.

The numbers after

  • The next odd number, 73, is a prime number.
    • There are no odd numbers between 71 and 73. As a result, they are twin primes.
  • 75, the odd number following 73, is not a prime number. It is divisible by 5.
  • 77, the odd number following 75, is also not a prime number. It is divisible by 7.
  • 79 is the next prime number after 73.
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