What is the 6711th prime number?
The 6711th prime number is 67391. The next prime is 67399 (a gap of 8) and the one before is 67369.
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 6711th one is 67391.
- 2
67391 is prime because no prime up to ā67391 ā 259.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6711th prime is close to 6711 Ć ln(6711) ā 59134, and here it is 67391.
- 4
67391 has no twin: neither 67389 nor 67393 is prime.
Primes around the 6711th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6708 | 67343 | 4 |
| 6709 | 67349 | 6 |
| 6710 | 67369 | 20 |
| 6711 | 67391 | 22 |
| 6712 | 67399 | 8 |
| 6713 | 67409 | 10 |
| 6714 | 67411 | 2 |
Questions
What is the 6711th prime number?
67391.
Which prime number is 67391?
67391 is the 6711th prime number.
What is the sum of the first 6711 primes?
213,516,048.