What is the 6921st prime number?
The 6921st prime number is 69827. The next prime is 69829 (a gap of 2) and the one before is 69821.
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 6921st one is 69827.
- 2
69827 is prime because no prime up to ā69827 ā 264.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6921st prime is close to 6921 Ć ln(6921) ā 61198, and here it is 69827.
- 4
69827 is a twin prime: 69827 and 69829 are both prime.
Primes around the 6921st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6918 | 69779 | 12 |
| 6919 | 69809 | 30 |
| 6920 | 69821 | 12 |
| 6921 | 69827 | 6 |
| 6922 | 69829 | 2 |
| 6923 | 69833 | 4 |
| 6924 | 69847 | 14 |
Questions
What is the 6921st prime number?
69827.
Which prime number is 69827?
69827 is the 6921st prime number.
What is the sum of the first 6921 primes?
227,911,758.