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|Base-16 Form = 29 |
|Base-16 Form = 29 |
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|previous = 37 |
|previous = 37 |
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− | |next = 43}} |
+ | |next = 43|standard-form = 4.1{{E|1}}}} |
− | 41 is a [ |
+ | 41 is a [[1-100|prime number from 1-100]]. 41 has 2 factors, 1 and 41. It is the thirteenth prime number, and the thirteenth prime number from 1-100.[[File:41.png|thumb]] |
==Proofs== |
==Proofs== |
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− | *{{Divisibility number|Yes|1}} |
+ | *{{Divisibility number|Yes|1.}} |
− | *{{Divisibility number|No|2-40}} |
+ | *{{Divisibility number|No|2-40.}} |
− | *{{Divisibility number|Yes|41}} |
+ | *{{Divisibility number|Yes|41.}} |
*Therefore, {{PAGENAME}} has 2 factors. |
*Therefore, {{PAGENAME}} has 2 factors. |
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+ | |||
+ | ==As an Exponent of Mersenne Number== |
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+ | 2<sup>41</sup> - 1, which is the number 2,199,023,255,551, is divisible by [[13,367]], and therefore not a prime number. |
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==Relationship with other odd numbers== |
==Relationship with other odd numbers== |
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===The numbers before=== |
===The numbers before=== |
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− | *The previous odd number, 39, is not a prime number. It is divisible by 3 and |
+ | *The previous odd number, 39, is not a prime number. It is divisible by 3 and 13. |
*The odd number previous to 39 is 37. 37 is a prime number. |
*The odd number previous to 39 is 37. 37 is a prime number. |
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**37 and 41 are four numbers apart; therefore, they are cousin primes. |
**37 and 41 are four numbers apart; therefore, they are cousin primes. |
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[[Category:Cousin Primes]] |
[[Category:Cousin Primes]] |
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[[Category:Chen Primes]] |
[[Category:Chen Primes]] |
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+ | [[Category:Multiplicative Persistence 1]] |
Revision as of 11:37, 5 July 2016
41 is a prime number from 1-100. 41 has 2 factors, 1 and 41. It is the thirteenth prime number, and the thirteenth prime number from 1-100.
Proofs
- Therefore, 41 has 2 factors.
As an Exponent of Mersenne Number
241 - 1, which is the number 2,199,023,255,551, is divisible by 13,367, and therefore not a prime number.
Relationship with other odd numbers
The numbers before
- The previous odd number, 39, is not a prime number. It is divisible by 3 and 13.
- The odd number previous to 39 is 37. 37 is a prime number.
- 37 and 41 are four numbers apart; therefore, they are cousin primes.
- The odd number previous to 37 is 35. 35 is not a prime number. It is divisible by 5 and 7.
The numbers after
- The next odd number, 43, is a prime number.
- There are no odd numbers between 41 and 43. As a result, they are twin primes.
- 45, the odd number following 43, is not a prime number. It is divisible by 5 and 9.
- 47, the odd number following 45, is a prime number.
- 41 and 47 are six numbers apart; therefore, they are sexy primes.