What is the 884th prime number?
The 884th prime number is 6869. The next prime is 6871 (a gap of 2) and the one before is 6863.
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 884th one is 6869.
- 2
6869 is prime because no prime up to ā6869 ā 82.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 884th prime is close to 884 Ć ln(884) ā 5997, and here it is 6869.
- 4
6869 is a twin prime: 6869 and 6871 are both prime.
Primes around the 884th
| Position | Prime | Gap from the previous |
|---|---|---|
| 881 | 6841 | 8 |
| 882 | 6857 | 16 |
| 883 | 6863 | 6 |
| 884 | 6869 | 6 |
| 885 | 6871 | 2 |
| 886 | 6883 | 12 |
| 887 | 6899 | 16 |
Questions
What is the 884th prime number?
6869.
Which prime number is 6869?
6869 is the 884th prime number.
What is the sum of the first 884 primes?
2,824,381.