What is the 6920th prime number?
The 6920th prime number is 69821. The next prime is 69827 (a gap of 6) and the one before is 69809.
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 6920th one is 69821.
- 2
69821 is prime because no prime up to ā69821 ā 264.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6920th prime is close to 6920 Ć ln(6920) ā 61188, and here it is 69821.
- 4
69821 has no twin: neither 69819 nor 69823 is prime.
Primes around the 6920th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6917 | 69767 | 4 |
| 6918 | 69779 | 12 |
| 6919 | 69809 | 30 |
| 6920 | 69821 | 12 |
| 6921 | 69827 | 6 |
| 6922 | 69829 | 2 |
| 6923 | 69833 | 4 |
Questions
What is the 6920th prime number?
69821.
Which prime number is 69821?
69821 is the 6920th prime number.
What is the sum of the first 6920 primes?
227,841,931.