What is the 6883rd prime number?
The 6883rd prime number is 69337. The next prime is 69341 (a gap of 4) and the one before is 69317.
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 6883rd one is 69337.
- 2
69337 is prime because no prime up to ā69337 ā 263.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6883rd prime is close to 6883 Ć ln(6883) ā 60824, and here it is 69337.
- 4
69337 has no twin: neither 69335 nor 69339 is prime.
Primes around the 6883rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6880 | 69263 | 4 |
| 6881 | 69313 | 50 |
| 6882 | 69317 | 4 |
| 6883 | 69337 | 20 |
| 6884 | 69341 | 4 |
| 6885 | 69371 | 30 |
| 6886 | 69379 | 8 |
Questions
What is the 6883rd prime number?
69337.
Which prime number is 69337?
69337 is the 6883rd prime number.
What is the sum of the first 6883 primes?
225,268,070.