What is the 874th prime number?
The 874th prime number is 6791. The next prime is 6793 (a gap of 2) and the one before is 6781.
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 874th one is 6791.
- 2
6791 is prime because no prime up to ā6791 ā 82.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 874th prime is close to 874 Ć ln(874) ā 5920, and here it is 6791.
- 4
6791 is a twin prime: 6791 and 6793 are both prime.
Primes around the 874th
| Position | Prime | Gap from the previous |
|---|---|---|
| 871 | 6763 | 2 |
| 872 | 6779 | 16 |
| 873 | 6781 | 2 |
| 874 | 6791 | 10 |
| 875 | 6793 | 2 |
| 876 | 6803 | 10 |
| 877 | 6823 | 20 |
Questions
What is the 874th prime number?
6791.
Which prime number is 6791?
6791 is the 874th prime number.
What is the sum of the first 874 primes?
2,756,043.