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|standard-form = 1.73{{E|2}}}}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.
 
|standard-form = 1.73{{E|2}}}}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==
 
==Proofs==
*{{Divisibility number|Yes|1}}
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*{{Divisibility number|Yes|1.}}
*{{Divisibility number|No|2-172}}
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*{{Divisibility number|No|2-172.}}
*{{Divisibility number|Yes|{{PAGENAME}}}}
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*{{Divisibility number|Yes|{{PAGENAME}}.}}
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==As an Exponent of Mersenne Number==
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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.
 
==Relationship with other odd numbers==
 
==Relationship with other odd numbers==
 
===The numbers before===
 
===The numbers before===
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[[Category:Balanced Primes]]
 
[[Category:Balanced Primes]]
 
[[Category:Sexy Primes]]
 
[[Category:Sexy Primes]]
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[[Category:Multiplicative Persistence 2]]

Latest revision as of 08:48, July 15, 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.

ProofsEdit

  • Yes — 173 can be divided by 1.
  • No — 173 cannot be divided by 2-172.
  • Yes — 173 can be divided by 173.

As an Exponent of Mersenne NumberEdit

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 numbersEdit

The numbers beforeEdit

  • 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.

TriviaEdit

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