What is the 4022nd prime number?
The 4022nd prime number is 38069. The next prime is 38083 (a gap of 14) and the one before is 38053.
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 4022nd one is 38069.
- 2
38069 is prime because no prime up to ā38069 ā 195.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4022nd prime is close to 4022 Ć ln(4022) ā 33381, and here it is 38069.
- 4
38069 has no twin: neither 38067 nor 38071 is prime.
Primes around the 4022nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4019 | 38039 | 28 |
| 4020 | 38047 | 8 |
| 4021 | 38053 | 6 |
| 4022 | 38069 | 16 |
| 4023 | 38083 | 14 |
| 4024 | 38113 | 30 |
| 4025 | 38119 | 6 |
Questions
What is the 4022nd prime number?
38069.
Which prime number is 38069?
38069 is the 4022nd prime number.
What is the sum of the first 4022 primes?
72,101,767.