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|cardinal-number = seventy-one
 
|cardinal-number = seventy-one
 
|Base-2 Form = 1000111
 
|Base-2 Form = 1000111
|Base-3 Form = 2122
 
|Base-4 Form = 1013
 
|Base-5 Form = 241
 
|Base-6 Form = 155
 
|Base-7 Form = 131
 
 
|Base-8 Form = 107
 
|Base-8 Form = 107
|Base-9 Form = 78
+
|Base-16 Form = 47
|ordinal-number = seventy first|previous = [[67|<font color="white">67</font>]]
+
|ordinal-number = seventy first
|next = [[73|<font color="white">73</font>]]}}
+
|previous = 67
  +
|next = 73|standard-form = 7.1{{E|1}}}}
 
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.
 
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.
 
==Proofs==
 
==Proofs==
*{{Divisibility number|Yes|1}}
+
*{{Divisibility number|Yes|1.}}
*{{Divisibility number|No|2-60}}
+
*{{Divisibility number|No|2-70.}}
*{{Divisibility number|Yes|{{PAGENAME}}}}
+
*{{Divisibility number|Yes|{{PAGENAME}}.}}
  +
  +
==As an Exponent of Mersenne Number==
  +
2<sup>71</sup> - 1 can be divided by numbers such as [[228,479]] and 48,544,121, and is therefore not a prime number.
  +
 
==Relationship with other odd numbers==
 
==Relationship with other odd numbers==
 
===The numbers before===
 
===The numbers before===
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[[Category:Twin Primes]]
 
[[Category:Twin Primes]]
 
[[Category:Circular Primes]]
 
[[Category:Circular Primes]]
  +
[[Category:Cousin Primes]]
  +
[[Category:Chen Primes]]
  +
[[Category:Multiplicative Persistence 1]]

Latest revision as of 13:36, July 5, 2016

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.

ProofsEdit

  • Yes — 71 can be divided by 1.
  • No — 71 cannot be divided by 2-70.
  • Yes — 71 can be divided by 71.


As an Exponent of Mersenne NumberEdit

271 - 1 can be divided by numbers such as 228,479 and 48,544,121, and is therefore not a prime number.

Relationship with other odd numbersEdit

The numbers beforeEdit

  • 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 afterEdit

  • 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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