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{{Infobox
 
{{Infobox
 
|title = 1,871
 
|title = 1,871
|image = 1871.jpg
+
|image = 1871.JPG
 
|imagewidth = 250
 
|imagewidth = 250
 
|roman-number = MDCCCLXXI
 
|roman-number = MDCCCLXXI
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|next = 1,873
 
|next = 1,873
 
|cardinal-number = one thousand eight hundred and seventy first
 
|cardinal-number = one thousand eight hundred and seventy first
  +
|standard-form = 1.871{{E|3}}
 
|Base-2 Form = 111 0100 1111
 
|Base-2 Form = 111 0100 1111
 
|Base-8 Form = 3517
 
|Base-8 Form = 3517

Revision as of 05:32, 20 March 2017

1,871 is a prime number from 1001-2000. 1,871 has 2 factors, 1 and 1,871. It is the 286th prime number, and the 118th prime number from 1001-2000.

1,871 is a quadruple prime, such that n + 2, n + 6 and n+ 8 are also prime (A007530), a mountain prime, such that its head and tail digits are ones and its interior digits are higher like a mountain (A134951), a esanacci prime (A074584) and an artiad prime (A001583).[1]

Proofs

  • Yes — 1,871 can be divided by 1
  • No — 1,871 cannot be divided by 2-1,870
  • Yes — 1,871 can be divided by 1,871

Relationship with other odd numbers

The numbers before

  • The previous prime number is 1,867, 4 numbers away.
    • Therefore, 1,867 and 1,871 are cousin primes.

The numbers after

  • The next prime number is 1,873, 2 numbers away.
    • As a result, 1,871 and 1,873 are twin primes.
  • The next prime number after 1,873 is 1,877.
    • 1,871 and 1,877 are 6 numbers apart. They are sexy primes.

References