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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

  1. OEIS: 1871
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