What is the 6821st prime number?
The 6821st prime number is 68611. The next prime is 68633 (a gap of 22) and the one before is 68597.
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 6821st one is 68611.
- 2
68611 is prime because no prime up to ā68611 ā 261.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6821st prime is close to 6821 Ć ln(6821) ā 60214, and here it is 68611.
- 4
68611 has no twin: neither 68609 nor 68613 is prime.
Primes around the 6821st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6818 | 68567 | 24 |
| 6819 | 68581 | 14 |
| 6820 | 68597 | 16 |
| 6821 | 68611 | 14 |
| 6822 | 68633 | 22 |
| 6823 | 68639 | 6 |
| 6824 | 68659 | 20 |
Questions
What is the 6821st prime number?
68611.
Which prime number is 68611?
68611 is the 6821st prime number.
What is the sum of the first 6821 primes?
220,991,868.