What is the 6882nd prime number?
The 6882nd prime number is 69317. The next prime is 69337 (a gap of 20) and the one before is 69313.
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 6882nd one is 69317.
- 2
69317 is prime because no prime up to ā69317 ā 263.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6882nd prime is close to 6882 Ć ln(6882) ā 60814, and here it is 69317.
- 4
69317 has no twin: neither 69315 nor 69319 is prime.
Primes around the 6882nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6879 | 69259 | 2 |
| 6880 | 69263 | 4 |
| 6881 | 69313 | 50 |
| 6882 | 69317 | 4 |
| 6883 | 69337 | 20 |
| 6884 | 69341 | 4 |
| 6885 | 69371 | 30 |
Questions
What is the 6882nd prime number?
69317.
Which prime number is 69317?
69317 is the 6882nd prime number.
What is the sum of the first 6882 primes?
225,198,733.