What is the 899th prime number?
The 899th prime number is 6991. The next prime is 6997 (a gap of 6) and the one before is 6983.
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 899th one is 6991.
- 2
6991 is prime because no prime up to ā6991 ā 83.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 899th prime is close to 899 Ć ln(899) ā 6114, and here it is 6991.
- 4
6991 has no twin: neither 6989 nor 6993 is prime.
Primes around the 899th
| Position | Prime | Gap from the previous |
|---|---|---|
| 896 | 6971 | 4 |
| 897 | 6977 | 6 |
| 898 | 6983 | 6 |
| 899 | 6991 | 8 |
| 900 | 6997 | 6 |
| 901 | 7001 | 4 |
| 902 | 7013 | 12 |
Questions
What is the 899th prime number?
6991.
Which prime number is 6991?
6991 is the 899th prime number.
What is the sum of the first 899 primes?
2,928,474.