What is the 6884th prime number?
The 6884th prime number is 69341. The next prime is 69371 (a gap of 30) and the one before is 69337.
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 6884th one is 69341.
- 2
69341 is prime because no prime up to ā69341 ā 263.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6884th prime is close to 6884 Ć ln(6884) ā 60834, and here it is 69341.
- 4
69341 has no twin: neither 69339 nor 69343 is prime.
Primes around the 6884th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6881 | 69313 | 50 |
| 6882 | 69317 | 4 |
| 6883 | 69337 | 20 |
| 6884 | 69341 | 4 |
| 6885 | 69371 | 30 |
| 6886 | 69379 | 8 |
| 6887 | 69383 | 4 |
Questions
What is the 6884th prime number?
69341.
Which prime number is 69341?
69341 is the 6884th prime number.
What is the sum of the first 6884 primes?
225,337,411.