What is the 6820th prime number?
The 6820th prime number is 68597. The next prime is 68611 (a gap of 14) and the one before is 68581.
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 6820th one is 68597.
- 2
68597 is prime because no prime up to ā68597 ā 261.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6820th prime is close to 6820 Ć ln(6820) ā 60204, and here it is 68597.
- 4
68597 has no twin: neither 68595 nor 68599 is prime.
Primes around the 6820th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6817 | 68543 | 4 |
| 6818 | 68567 | 24 |
| 6819 | 68581 | 14 |
| 6820 | 68597 | 16 |
| 6821 | 68611 | 14 |
| 6822 | 68633 | 22 |
| 6823 | 68639 | 6 |
Questions
What is the 6820th prime number?
68597.
Which prime number is 68597?
68597 is the 6820th prime number.
What is the sum of the first 6820 primes?
220,923,257.