What is the 885th prime number?
The 885th prime number is 6871. The next prime is 6883 (a gap of 12) and the one before is 6869.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 885th one is 6871.
- 2
6871 is prime because no prime up to ā6871 ā 82.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 885th prime is close to 885 Ć ln(885) ā 6005, and here it is 6871.
- 4
6871 is a twin prime: 6869 and 6871 are both prime.
Primes around the 885th
| Position | Prime | Gap from the previous |
|---|---|---|
| 882 | 6857 | 16 |
| 883 | 6863 | 6 |
| 884 | 6869 | 6 |
| 885 | 6871 | 2 |
| 886 | 6883 | 12 |
| 887 | 6899 | 16 |
| 888 | 6907 | 8 |
Questions
What is the 885th prime number?
6871.
Which prime number is 6871?
6871 is the 885th prime number.
What is the sum of the first 885 primes?
2,831,252.