What is the 886th prime number?
The 886th prime number is 6883. The next prime is 6899 (a gap of 16) and the one before is 6871.
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 886th one is 6883.
- 2
6883 is prime because no prime up to ā6883 ā 82.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 886th prime is close to 886 Ć ln(886) ā 6013, and here it is 6883.
- 4
6883 has no twin: neither 6881 nor 6885 is prime.
Primes around the 886th
| Position | Prime | Gap from the previous |
|---|---|---|
| 883 | 6863 | 6 |
| 884 | 6869 | 6 |
| 885 | 6871 | 2 |
| 886 | 6883 | 12 |
| 887 | 6899 | 16 |
| 888 | 6907 | 8 |
| 889 | 6911 | 4 |
Questions
What is the 886th prime number?
6883.
Which prime number is 6883?
6883 is the 886th prime number.
What is the sum of the first 886 primes?
2,838,135.