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{{Infobox
−
.
  
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|title = 211
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|image = 211.png
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|imagewidth = 200
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|roman-number = CCXI
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|ordinal-number = two hundred and eleventh|previous = 199
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|next = 223|cardinal-number = two hundred and eleven
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|Base-2 Form = 11010011
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|Base-8 Form = 323
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|Base-16 Form = D3
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|standard-form = 2.11{{E|2}}}}211 is a [http://prime-numbers.wikia.com/wiki/201-300 prime number from 201-300]. 211 has 2 factors, 1 and 211. It is the 47th prime number, and the first 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|2-210.}}
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*{{Divisibility number|Yes|{{PAGENAME}}.}}
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==As an Exponent of Mersenne Number==
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2<sup>211</sup> - 1 is divisible by numbers such as [[15,193]] and 60,272,956,433,838,849,161, 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 199.
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**199 and 211 are twelve numbers apart. It is a large gap.
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**In particular, [[201]] and [[207]] are divisible by 3, [[203]] by 7, and [[209]] by 11.
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*The previous prime number before 199 is 197.
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===The numbers after===
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*The next prime number is 223.
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**211 and 223 are twelve numbers apart. It is another large gap.
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**In particular, [[213]] and [[219]] are divisible by 3, while [[217]] is divisible by 7.
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**Notably, [[221]] can be factored as 13 x 17.
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*227 is the next prime number after 223.
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==Trivia==
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*211 is the only known prime number that is 208 away from two different prime numbers ([[3]] and [[419]]).
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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]]
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[[Category:3-Digit Prime Numbers]]
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[[Category:Balanced Primes]]
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[[Category:Chen Primes]]

Revision as of 15:08, 13 November 2017

211 is a prime number from 201-300. 211 has 2 factors, 1 and 211. It is the 47th prime number, and the first prime number from 201-300.

Proofs

  • Yes — 211 can be divided by 1.
  • No — 211 cannot be divided by 2-210.
  • Yes — 211 can be divided by 211.


As an Exponent of Mersenne Number

2211 - 1 is divisible by numbers such as 15,193 and 60,272,956,433,838,849,161, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 199.
    • 199 and 211 are twelve numbers apart. It is a large gap.
    • In particular, 201 and 207 are divisible by 3, 203 by 7, and 209 by 11.
  • The previous prime number before 199 is 197.

The numbers after

  • The next prime number is 223.
    • 211 and 223 are twelve numbers apart. It is another large gap.
    • In particular, 213 and 219 are divisible by 3, while 217 is divisible by 7.
    • Notably, 221 can be factored as 13 x 17.
  • 227 is the next prime number after 223.

Trivia

  • 211 is the only known prime number that is 208 away from two different prime numbers (3 and 419).
Prime Numbers 1-1,000
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751-800 751 • 757 • 761 • 769 • 773 • 787 • 797
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