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1693 is the 263rd prime number
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{{Infobox
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|title = 1,693
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|image = 1693.jpg
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|imagewidth = 250
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|roman-number = MDCXCIII
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|ordinal-number = one thousand six hundred and ninety three
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|previous = [[1,669|<font color="white">1,669</font>]]
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|next = [[1,697|<font color="white">1,697</font>]]
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|cardinal-number = one thousand six hundred and ninety third
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|Base-2 Form = 110 1001 1101
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|Base-8 Form = 3235
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|Base-16 Form = 69D}}
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{{PAGENAME}} is a [[1001-2000|prime number from 1001-2000]]. {{PAGENAME}} has 2 factors, 1 and {{PAGENAME}}. It is the 264th prime number, and the 96th prime number from 1001-2000.
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==Proofs==
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*{{Divisibility number|Yes|1}}
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*{{Divisibility number|No|2-1,692}}
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*{{Divisibility number|Yes|{{PAGENAME}}}}
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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 [[1,669]], 24 numbers away.
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**1,673 and 1,687 are divisible by 7.
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**1,679 can be factored as 23 x 73.
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**1,681 is the square of [[41]].
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**1,691 can be factored as 19 x 89.
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===The numbers after===
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*The next prime number is [[1,697]], 4 numbers away.
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**Therefore, 1,693 and 1,697 are cousin primes.
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*The next prime number after 1,697 is [[1,699]], 2 numbers away.
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**1,693 and 1,699 are 6 numbers apart. They are sexy primes.
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{{Navbox primes 4 digits (1)}}
 
[[Category:Prime Numbers]]
 
[[Category:Prime Numbers]]
 
[[Category:Prime Numbers from 1001-2000]]
 
[[Category:Prime Numbers from 1001-2000]]

Revision as of 09:21, July 24, 2014

1,693 is a prime number from 1001-2000. 1,693 has 2 factors, 1 and 1,693. It is the 264th prime number, and the 96th prime number from 1001-2000.

Proofs

  • Yes — 1,693 can be divided by 1
  • No — 1,693 cannot be divided by 2-1,692
  • Yes — 1,693 can be divided by 1,693

Relationship with other odd numbers

The numbers before

  • The previous prime number is 1,669, 24 numbers away.
    • 1,673 and 1,687 are divisible by 7.
    • 1,679 can be factored as 23 x 73.
    • 1,681 is the square of 41.
    • 1,691 can be factored as 19 x 89.

The numbers after

  • The next prime number is 1,697, 4 numbers away.
    • Therefore, 1,693 and 1,697 are cousin primes.
  • The next prime number after 1,697 is 1,699, 2 numbers away.
    • 1,693 and 1,699 are 6 numbers apart. They are sexy primes.
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