What is the 875th prime number?
The 875th prime number is 6793. The next prime is 6803 (a gap of 10) and the one before is 6791.
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 875th one is 6793.
- 2
6793 is prime because no prime up to ā6793 ā 82.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 875th prime is close to 875 Ć ln(875) ā 5927, and here it is 6793.
- 4
6793 is a twin prime: 6791 and 6793 are both prime.
Primes around the 875th
| Position | Prime | Gap from the previous |
|---|---|---|
| 872 | 6779 | 16 |
| 873 | 6781 | 2 |
| 874 | 6791 | 10 |
| 875 | 6793 | 2 |
| 876 | 6803 | 10 |
| 877 | 6823 | 20 |
| 878 | 6827 | 4 |
Questions
What is the 875th prime number?
6793.
Which prime number is 6793?
6793 is the 875th prime number.
What is the sum of the first 875 primes?
2,762,836.