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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. |
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== |
==Proofs== |
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+ | *{{Divisibility number|Yes|1}} |
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− | *1 can divide 71 |
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+ | *{{Divisibility number|No|2-60}} |
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− | *2 cannot |
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+ | *{{Divisibility number|Yes|{{PAGENAME}}}} |
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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== |
==Relationship with other odd numbers== |
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===The numbers before=== |
===The numbers before=== |
Revision as of 08:30, 9 March 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
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.