What is the 6876th prime number?
The 6876th prime number is 69239. The next prime is 69247 (a gap of 8) and the one before is 69233.
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 6876th one is 69239.
- 2
69239 is prime because no prime up to ā69239 ā 263.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6876th prime is close to 6876 Ć ln(6876) ā 60755, and here it is 69239.
- 4
69239 has no twin: neither 69237 nor 69241 is prime.
Primes around the 6876th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6873 | 69203 | 6 |
| 6874 | 69221 | 18 |
| 6875 | 69233 | 12 |
| 6876 | 69239 | 6 |
| 6877 | 69247 | 8 |
| 6878 | 69257 | 10 |
| 6879 | 69259 | 2 |
Questions
What is the 6876th prime number?
69239.
Which prime number is 69239?
69239 is the 6876th prime number.
What is the sum of the first 6876 primes?
224,783,077.