What is the 872nd prime number?
The 872nd prime number is 6779. The next prime is 6781 (a gap of 2) and the one before is 6763.
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 872nd one is 6779.
- 2
6779 is prime because no prime up to ā6779 ā 82.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 872nd prime is close to 872 Ć ln(872) ā 5904, and here it is 6779.
- 4
6779 is a twin prime: 6779 and 6781 are both prime.
Primes around the 872nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 869 | 6737 | 4 |
| 870 | 6761 | 24 |
| 871 | 6763 | 2 |
| 872 | 6779 | 16 |
| 873 | 6781 | 2 |
| 874 | 6791 | 10 |
| 875 | 6793 | 2 |
Questions
What is the 872nd prime number?
6779.
Which prime number is 6779?
6779 is the 872nd prime number.
What is the sum of the first 872 primes?
2,742,471.