What is the 850th prime number?
The 850th prime number is 6571. The next prime is 6577 (a gap of 6) and the one before is 6569.
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 850th one is 6571.
- 2
6571 is prime because no prime up to ā6571 ā 81.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 850th prime is close to 850 Ć ln(850) ā 5733, and here it is 6571.
- 4
6571 is a twin prime: 6569 and 6571 are both prime.
Primes around the 850th
| Position | Prime | Gap from the previous |
|---|---|---|
| 847 | 6553 | 2 |
| 848 | 6563 | 10 |
| 849 | 6569 | 6 |
| 850 | 6571 | 2 |
| 851 | 6577 | 6 |
| 852 | 6581 | 4 |
| 853 | 6599 | 18 |
Questions
What is the 850th prime number?
6571.
Which prime number is 6571?
6571 is the 850th prime number.
What is the sum of the first 850 primes?
2,595,541.