What is the 6878th prime number?
The 6878th prime number is 69257. The next prime is 69259 (a gap of 2) and the one before is 69247.
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 6878th one is 69257.
- 2
69257 is prime because no prime up to ā69257 ā 263.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6878th prime is close to 6878 Ć ln(6878) ā 60775, and here it is 69257.
- 4
69257 is a twin prime: 69257 and 69259 are both prime.
Primes around the 6878th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6875 | 69233 | 12 |
| 6876 | 69239 | 6 |
| 6877 | 69247 | 8 |
| 6878 | 69257 | 10 |
| 6879 | 69259 | 2 |
| 6880 | 69263 | 4 |
| 6881 | 69313 | 50 |
Questions
What is the 6878th prime number?
69257.
Which prime number is 69257?
69257 is the 6878th prime number.
What is the sum of the first 6878 primes?
224,921,581.