What is the 4020th prime number?
The 4020th prime number is 38047. The next prime is 38053 (a gap of 6) and the one before is 38039.
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 4020th one is 38047.
- 2
38047 is prime because no prime up to ā38047 ā 195.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4020th prime is close to 4020 Ć ln(4020) ā 33362, and here it is 38047.
- 4
38047 has no twin: neither 38045 nor 38049 is prime.
Primes around the 4020th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4017 | 37997 | 4 |
| 4018 | 38011 | 14 |
| 4019 | 38039 | 28 |
| 4020 | 38047 | 8 |
| 4021 | 38053 | 6 |
| 4022 | 38069 | 16 |
| 4023 | 38083 | 14 |
Questions
What is the 4020th prime number?
38047.
Which prime number is 38047?
38047 is the 4020th prime number.
What is the sum of the first 4020 primes?
72,025,645.