What is the 4019th prime number?
The 4019th prime number is 38039. The next prime is 38047 (a gap of 8) and the one before is 38011.
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 4019th one is 38039.
- 2
38039 is prime because no prime up to ā38039 ā 195.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4019th prime is close to 4019 Ć ln(4019) ā 33353, and here it is 38039.
- 4
38039 has no twin: neither 38037 nor 38041 is prime.
Primes around the 4019th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4016 | 37993 | 2 |
| 4017 | 37997 | 4 |
| 4018 | 38011 | 14 |
| 4019 | 38039 | 28 |
| 4020 | 38047 | 8 |
| 4021 | 38053 | 6 |
| 4022 | 38069 | 16 |
Questions
What is the 4019th prime number?
38039.
Which prime number is 38039?
38039 is the 4019th prime number.
What is the sum of the first 4019 primes?
71,987,598.