What is the 873rd prime number?
The 873rd prime number is 6781. The next prime is 6791 (a gap of 10) and the one before is 6779.
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 873rd one is 6781.
- 2
6781 is prime because no prime up to ā6781 ā 82.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 873rd prime is close to 873 Ć ln(873) ā 5912, and here it is 6781.
- 4
6781 is a twin prime: 6779 and 6781 are both prime.
Primes around the 873rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 870 | 6761 | 24 |
| 871 | 6763 | 2 |
| 872 | 6779 | 16 |
| 873 | 6781 | 2 |
| 874 | 6791 | 10 |
| 875 | 6793 | 2 |
| 876 | 6803 | 10 |
Questions
What is the 873rd prime number?
6781.
Which prime number is 6781?
6781 is the 873rd prime number.
What is the sum of the first 873 primes?
2,749,252.