What is the 849th prime number?
The 849th prime number is 6569. The next prime is 6571 (a gap of 2) and the one before is 6563.
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 849th one is 6569.
- 2
6569 is prime because no prime up to ā6569 ā 81.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 849th prime is close to 849 Ć ln(849) ā 5726, and here it is 6569.
- 4
6569 is a twin prime: 6569 and 6571 are both prime.
Primes around the 849th
| Position | Prime | Gap from the previous |
|---|---|---|
| 846 | 6551 | 4 |
| 847 | 6553 | 2 |
| 848 | 6563 | 10 |
| 849 | 6569 | 6 |
| 850 | 6571 | 2 |
| 851 | 6577 | 6 |
| 852 | 6581 | 4 |
Questions
What is the 849th prime number?
6569.
Which prime number is 6569?
6569 is the 849th prime number.
What is the sum of the first 849 primes?
2,588,970.