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{{Infobox
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|title = 239
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|image = 239.png
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|imagewidth = 200
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|roman-number = CCXXXIX
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|ordinal-number = two hundred and thirty ninth
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|previous = 233
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|next = 241|cardinal-number = two hundred and thirty-nine
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|Base-2 Form = 11101111
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|Base-8 Form = 357
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|Base-16 Form = EF
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}}239 is a [http://prime-numbers.wikia.com/wiki/201-300 prime number from 201-300]. 239 has 2 factors, 1 and 239. It is the 52nd prime number, and the sixth prime number from 201-300.
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==Proofs==
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*{{Divisibility number|Yes|1.}}
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*{{Divisibility number|No|2-238.}}
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*{{Divisibility number|Yes|{{PAGENAME}}.}}
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==As an Exponent of Mersenne Number==
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2<sup>239</sup> - 1 is divisible by numbers such as [[479]], [[1,913]], [[5,737]], [[176,383]], and 134,000,609, and is therefore not a prime number.
   
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==Relationship with other odd numbers==
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===The numbers before===
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*The previous prime number is 233.
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**233 and 239 are six numbers apart; therefore, they are sexy primes.
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*The previous prime number before 233 is 229.
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**Notably, 231 is divisible by 11 and therefore not a prime number.
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**[[237]] is divisible by 3.
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===The numbers after===
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*The next prime number is 241.
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**There are no odd numbers between 239 and 241. As a result, they are twin primes.
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*251 is the next prime number after 241.
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**Notably, 243 is the fifth power of 3, 247 can be factored as 13 x 19, and 249 is divisible by 3.
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{{Template:Navbox primes 3 digits}}
 
[[Category:Prime Numbers]]
 
[[Category:Prime Numbers]]
 
[[Category:Prime Numbers from 201-300]]
 
[[Category:Prime Numbers from 201-300]]
 
[[Category:3-Digit Prime Numbers]]
 
[[Category:3-Digit Prime Numbers]]
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[[Category:Twin Primes]]
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[[Category:Sexy Primes]]
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[[Category:Chen Primes]]

Latest revision as of 21:36, November 4, 2017

239 is a prime number from 201-300. 239 has 2 factors, 1 and 239. It is the 52nd prime number, and the sixth prime number from 201-300.

ProofsEdit

  • Yes — 239 can be divided by 1.
  • No — 239 cannot be divided by 2-238.
  • Yes — 239 can be divided by 239.

As an Exponent of Mersenne NumberEdit

2239 - 1 is divisible by numbers such as 479, 1,913, 5,737, 176,383, and 134,000,609, and is therefore not a prime number.

Relationship with other odd numbersEdit

The numbers beforeEdit

  • The previous prime number is 233.
    • 233 and 239 are six numbers apart; therefore, they are sexy primes.
  • The previous prime number before 233 is 229.
    • Notably, 231 is divisible by 11 and therefore not a prime number.
    • 237 is divisible by 3.

The numbers afterEdit

  • The next prime number is 241.
    • There are no odd numbers between 239 and 241. As a result, they are twin primes.
  • 251 is the next prime number after 241.
    • Notably, 243 is the fifth power of 3, 247 can be factored as 13 x 19, and 249 is divisible by 3.
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