What is the 6022nd prime number?
The 6022nd prime number is 59567. The next prime is 59581 (a gap of 14) and the one before is 59561.
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 6022nd one is 59567.
- 2
59567 is prime because no prime up to ā59567 ā 244.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6022nd prime is close to 6022 Ć ln(6022) ā 52411, and here it is 59567.
- 4
59567 has no twin: neither 59565 nor 59569 is prime.
Primes around the 6022nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6019 | 59539 | 26 |
| 6020 | 59557 | 18 |
| 6021 | 59561 | 4 |
| 6022 | 59567 | 6 |
| 6023 | 59581 | 14 |
| 6024 | 59611 | 30 |
| 6025 | 59617 | 6 |
Questions
What is the 6022nd prime number?
59567.
Which prime number is 59567?
59567 is the 6022nd prime number.
What is the sum of the first 6022 primes?
169,756,827.