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{{Infobox
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|title = 71
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|image = 71.png
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|imagewidth = 200
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|roman-number = LXXI
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|ordinal-number = seventy first|previous = [[67|<font color="white">67</font>]]
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|next = [[73|<font color="white">73</font>]]}}
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71 is a [http://prime-numbers.wikia.com/wiki/1-100 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.
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==Proofs==
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*1 can divide 71
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*2 cannot
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*3 cannot
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*4 - 70 cannot
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*71 can!
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==Relationship with other odd numbers==
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===The numbers before===
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*The previous odd number, 69, is not a prime number. It is divisible by 3.
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*The odd number previous to 69 is 67. 67 is a prime number.
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**67 and 71 are four numbers apart; therefore, they are cousin primes.
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*The odd number previous to 67 is 65. 65 is not a prime number. It is divisible by 5.
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===The numbers after===
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*The next odd number, 73, is a prime number.
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**There are no odd numbers between 71 and 73. As a result, they are twin primes.
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*75, the odd number following 73, is not a prime number. It is divisible by 5.
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*77, the odd number following 75, is also not a prime number. It is divisible by 7.
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*79 is the next prime number after 73.
   
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{{Navbox_primes}}
 
[[Category:Prime Numbers]]
 
[[Category:Prime Numbers]]
 
[[Category:Prime numbers from 1-100]]
 
[[Category:Prime numbers from 1-100]]

Revision as of 11:47, December 17, 2013

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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