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|imagewidth = 200 |
|imagewidth = 200 |
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|roman-number = CCXI |
|roman-number = CCXI |
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− | |ordinal-number = two hundred and eleventh|previous = |
+ | |ordinal-number = two hundred and eleventh|previous = 199 |
− | |next = |
+ | |next = 223|cardinal-number = two hundred and eleven |
|Base-2 Form = 11010011 |
|Base-2 Form = 11010011 |
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⚫ | |||
− | |Base-4 Form = 3103 |
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− | |Base-5 Form = 1321 |
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− | |Base-6 Form = 551 |
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− | |Base-7 Form = 421 |
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|Base-8 Form = 323 |
|Base-8 Form = 323 |
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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. |
==Proofs== |
==Proofs== |
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− | *{{Divisibility number|Yes|1}} |
+ | *{{Divisibility number|Yes|1.}} |
− | *{{Divisibility number|No|2-210}} |
+ | *{{Divisibility number|No|2-210.}} |
− | *{{Divisibility number|Yes|{{PAGENAME}}}} |
+ | *{{Divisibility number|Yes|{{PAGENAME}}.}} |
+ | |||
+ | ==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== |
==Relationship with other odd numbers== |
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===The numbers before=== |
===The numbers before=== |
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*The previous prime number is 199. |
*The previous prime number is 199. |
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**199 and 211 are twelve numbers apart. It is a large gap. |
**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. |
+ | **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 previous prime number before 199 is 197. |
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===The numbers after=== |
===The numbers after=== |
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*The next prime number is 223. |
*The next prime number is 223. |
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**211 and 223 are twelve numbers apart. It is another large gap. |
**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. |
+ | **In particular, [[213]] and [[219]] are divisible by 3, while [[217]] is divisible by 7. |
− | **Notably, 221 can be factored as 13 x 17. |
+ | **Notably, [[221]] can be factored as 13 x 17. |
*227 is the next prime number after 223. |
*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}} |
{{Template:Navbox primes 3 digits}} |
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
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.
- The previous prime number before 199 is 197.
The numbers after
- The next prime number is 223.
- 227 is the next prime number after 223.