What is the 878th prime number?
The 878th prime number is 6827. The next prime is 6829 (a gap of 2) and the one before is 6823.
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 878th one is 6827.
- 2
6827 is prime because no prime up to ā6827 ā 82.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 878th prime is close to 878 Ć ln(878) ā 5951, and here it is 6827.
- 4
6827 is a twin prime: 6827 and 6829 are both prime.
Primes around the 878th
| Position | Prime | Gap from the previous |
|---|---|---|
| 875 | 6793 | 2 |
| 876 | 6803 | 10 |
| 877 | 6823 | 20 |
| 878 | 6827 | 4 |
| 879 | 6829 | 2 |
| 880 | 6833 | 4 |
| 881 | 6841 | 8 |
Questions
What is the 878th prime number?
6827.
Which prime number is 6827?
6827 is the 878th prime number.
What is the sum of the first 878 primes?
2,783,289.