What is the 879th prime number?
The 879th prime number is 6829. The next prime is 6833 (a gap of 4) and the one before is 6827.
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 879th one is 6829.
- 2
6829 is prime because no prime up to ā6829 ā 82.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 879th prime is close to 879 Ć ln(879) ā 5959, and here it is 6829.
- 4
6829 is a twin prime: 6827 and 6829 are both prime.
Primes around the 879th
| Position | Prime | Gap from the previous |
|---|---|---|
| 876 | 6803 | 10 |
| 877 | 6823 | 20 |
| 878 | 6827 | 4 |
| 879 | 6829 | 2 |
| 880 | 6833 | 4 |
| 881 | 6841 | 8 |
| 882 | 6857 | 16 |
Questions
What is the 879th prime number?
6829.
Which prime number is 6829?
6829 is the 879th prime number.
What is the sum of the first 879 primes?
2,790,118.