What is the 6922nd prime number?
The 6922nd prime number is 69829. The next prime is 69833 (a gap of 4) and the one before is 69827.
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 6922nd one is 69829.
- 2
69829 is prime because no prime up to ā69829 ā 264.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6922nd prime is close to 6922 Ć ln(6922) ā 61208, and here it is 69829.
- 4
69829 is a twin prime: 69827 and 69829 are both prime.
Primes around the 6922nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6919 | 69809 | 30 |
| 6920 | 69821 | 12 |
| 6921 | 69827 | 6 |
| 6922 | 69829 | 2 |
| 6923 | 69833 | 4 |
| 6924 | 69847 | 14 |
| 6925 | 69857 | 10 |
Questions
What is the 6922nd prime number?
69829.
Which prime number is 69829?
69829 is the 6922nd prime number.
What is the sum of the first 6922 primes?
227,981,587.