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{{Infobox
 
{{Infobox
 
|title = 1,873
 
|title = 1,873
|image = 1873.jpg
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|image = 1873.JPG
 
|imagewidth = 250
 
|imagewidth = 250
 
|roman-number = MDCCCLXXIII
 
|roman-number = MDCCCLXXIII
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|next = 1,877
 
|next = 1,877
 
|cardinal-number = one thousand eight hundred and seventy third
 
|cardinal-number = one thousand eight hundred and seventy third
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|standard-form = 1.873{{E|3}}
 
|Base-2 Form = 111 0101 0001
 
|Base-2 Form = 111 0101 0001
 
|Base-8 Form = 3521
 
|Base-8 Form = 3521
 
|Base-16 Form = 751}}
 
|Base-16 Form = 751}}
{{PAGENAME}} is a [[1001-2000|prime number from 1001-2000]]. {{PAGENAME}} has 2 factors, 1 and {{PAGENAME}}. It is the 287th prime number, and the 119th prime number from 1001-2000.
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1,873 is a [[1001-2000|prime number from 1001-2000]]. 1,873 has 2 factors, 1 and 1,873. It is the 287th prime number, and the 119th prime number from 1001-2000.
   
 
1,873 is a prime triple both with respect to the two previous primes, n - 6 and n - 2 ([https://oeis.org/A006489 A006489]), but also the two succeeding primes, n + 4 and n + 6 ([https://oeis.org/A022005 A022005]).<ref>[https://oeis.org/search?q=1873&sort=&language=&go=Search OEIS: 1873]</ref>
 
1,873 is a prime triple both with respect to the two previous primes, n - 6 and n - 2 ([https://oeis.org/A006489 A006489]), but also the two succeeding primes, n + 4 and n + 6 ([https://oeis.org/A022005 A022005]).<ref>[https://oeis.org/search?q=1873&sort=&language=&go=Search OEIS: 1873]</ref>
 
==Proofs==
 
==Proofs==
 
*{{Divisibility number|Yes|1}}
 
*{{Divisibility number|Yes|1}}
*{{Divisibility number|No|2-1,871}}
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*{{Divisibility number|No|2-1,872}}
 
*{{Divisibility number|Yes|{{PAGENAME}}}}
 
*{{Divisibility number|Yes|{{PAGENAME}}}}
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==Relationship with other odd numbers==
 
==Relationship with other odd numbers==
 
===The numbers before===
 
===The numbers before===
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<references/>
 
<references/>
 
{{Navbox primes 4 digits (1)}}
 
{{Navbox primes 4 digits (1)}}
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[[Category:4-Digit Prime Numbers]]
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[[Category:Prime Numbers from 1001-2000]]
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[[Category:Prime Numbers]]

Revision as of 05:33, 20 March 2017

1,873 is a prime number from 1001-2000. 1,873 has 2 factors, 1 and 1,873. It is the 287th prime number, and the 119th prime number from 1001-2000.

1,873 is a prime triple both with respect to the two previous primes, n - 6 and n - 2 (A006489), but also the two succeeding primes, n + 4 and n + 6 (A022005).[1]

Proofs

  • Yes — 1,873 can be divided by 1
  • No — 1,873 cannot be divided by 2-1,872
  • Yes — 1,873 can be divided by 1,873


Relationship with other odd numbers

The numbers before

  • The previous prime number is 1,871, 2 numbers away.
    • As a result, 1,871 and 1,873 are twin primes.
  • The previous prime number before 1,871 is 1,867.
    • 1,867 and 1,873 are 6 numbers apart. They are sexy primes.

The numbers after

  • The next prime number is 1,877, 4 numbers away.
    • Therefore, 1,873 and 1,873 are cousin primes.
  • The next prime number after 1,877 is 1,879.
    • 1,873 and 1,879 are 6 numbers apart. They are sexy primes.

References