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|imagewidth = 200 |
|imagewidth = 200 |
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|roman-number = CLXXIII |
|roman-number = CLXXIII |
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− | |ordinal-number = |
+ | |ordinal-number = one hundred and seventy third |
− | |previous = |
+ | |previous = 167 |
+ | |next = 179|cardinal-number = one hundred and seventy-three |
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⚫ | |||
+ | |Base-2 Form = 10101101 |
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+ | |Base-8 Form = 255 |
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+ | |Base-16 Form = AD |
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⚫ | |||
==Proofs== |
==Proofs== |
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+ | *{{Divisibility number|Yes|1.}} |
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− | *1 can divide 173 |
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+ | *{{Divisibility number|No|2-172.}} |
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− | *2 cannot |
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+ | *{{Divisibility number|Yes|{{PAGENAME}}.}} |
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− | *3 cannot |
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+ | ==As an Exponent of Mersenne Number== |
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− | *4-172 cannot |
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+ | 2<sup>173</sup> - 1 is divisible by number such as [[730,753]] and [[1,505,447]], and is therefore not a prime number. |
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− | *173 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=== |
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**173 and 179 are six numbers apart; therefore, they are sexy primes. |
**173 and 179 are six numbers apart; therefore, they are sexy primes. |
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*181 is the next prime number after 179. |
*181 is the next prime number after 179. |
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+ | ==Trivia== |
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+ | * |
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{{Navbox_primes_3_digits}} |
{{Navbox_primes_3_digits}} |
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[[Category:Prime Numbers]] |
[[Category:Prime Numbers]] |
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[[Category:Prime numbers from 101-200]] |
[[Category:Prime numbers from 101-200]] |
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+ | [[Category:3-Digit Prime Numbers]] |
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+ | [[Category:Balanced Primes]] |
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+ | [[Category:Sexy Primes]] |
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+ | [[Category:Multiplicative Persistence 2]] |
Revision as of 08:48, 15 July 2016
173 is a prime number from 101-200. 173 has 2 factors, 1 and 173. It is the 40th prime number, and the fifteenth prime number from 101-200.
Proofs
As an Exponent of Mersenne Number
2173 - 1 is divisible by number such as 730,753 and 1,505,447, and is therefore not a prime number.
Relationship with other odd numbers
The numbers before
- The previous prime number is 167.
- Notably, 169 is not a prime number. It is a square number, being 132 = 169.
- 167 and 173 are six numbers apart; therefore, they are sexy primes.
- The previous prime number before 167 is 163.
The numbers after
- The next prime number is 179.
- 173 and 179 are six numbers apart; therefore, they are sexy primes.
- 181 is the next prime number after 179.