What is the 889th prime number?
The 889th prime number is 6911. The next prime is 6917 (a gap of 6) and the one before is 6907.
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 889th one is 6911.
- 2
6911 is prime because no prime up to ā6911 ā 83.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 889th prime is close to 889 Ć ln(889) ā 6036, and here it is 6911.
- 4
6911 has no twin: neither 6909 nor 6913 is prime.
Primes around the 889th
| Position | Prime | Gap from the previous |
|---|---|---|
| 886 | 6883 | 12 |
| 887 | 6899 | 16 |
| 888 | 6907 | 8 |
| 889 | 6911 | 4 |
| 890 | 6917 | 6 |
| 891 | 6947 | 30 |
| 892 | 6949 | 2 |
Questions
What is the 889th prime number?
6911.
Which prime number is 6911?
6911 is the 889th prime number.
What is the sum of the first 889 primes?
2,858,852.