What is the 6888th prime number?
The 6888th prime number is 69389. The next prime is 69401 (a gap of 12) and the one before is 69383.
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 6888th one is 69389.
- 2
69389 is prime because no prime up to ā69389 ā 263.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6888th prime is close to 6888 Ć ln(6888) ā 60873, and here it is 69389.
- 4
69389 has no twin: neither 69387 nor 69391 is prime.
Primes around the 6888th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6885 | 69371 | 30 |
| 6886 | 69379 | 8 |
| 6887 | 69383 | 4 |
| 6888 | 69389 | 6 |
| 6889 | 69401 | 12 |
| 6890 | 69403 | 2 |
| 6891 | 69427 | 24 |
Questions
What is the 6888th prime number?
69389.
Which prime number is 69389?
69389 is the 6888th prime number.
What is the sum of the first 6888 primes?
225,614,933.