What is the 6875th prime number?
The 6875th prime number is 69233. The next prime is 69239 (a gap of 6) and the one before is 69221.
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 6875th one is 69233.
- 2
69233 is prime because no prime up to ā69233 ā 263.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6875th prime is close to 6875 Ć ln(6875) ā 60745, and here it is 69233.
- 4
69233 has no twin: neither 69231 nor 69235 is prime.
Primes around the 6875th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6872 | 69197 | 4 |
| 6873 | 69203 | 6 |
| 6874 | 69221 | 18 |
| 6875 | 69233 | 12 |
| 6876 | 69239 | 6 |
| 6877 | 69247 | 8 |
| 6878 | 69257 | 10 |
Questions
What is the 6875th prime number?
69233.
Which prime number is 69233?
69233 is the 6875th prime number.
What is the sum of the first 6875 primes?
224,713,838.