What is the 6881st prime number?
The 6881st prime number is 69313. The next prime is 69317 (a gap of 4) and the one before is 69263.
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 6881st one is 69313.
- 2
69313 is prime because no prime up to ā69313 ā 263.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6881st prime is close to 6881 Ć ln(6881) ā 60804, and here it is 69313.
- 4
69313 has no twin: neither 69311 nor 69315 is prime.
Primes around the 6881st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6878 | 69257 | 10 |
| 6879 | 69259 | 2 |
| 6880 | 69263 | 4 |
| 6881 | 69313 | 50 |
| 6882 | 69317 | 4 |
| 6883 | 69337 | 20 |
| 6884 | 69341 | 4 |
Questions
What is the 6881st prime number?
69313.
Which prime number is 69313?
69313 is the 6881st prime number.
What is the sum of the first 6881 primes?
225,129,416.