What is the 4024th prime number?
The 4024th prime number is 38113. The next prime is 38119 (a gap of 6) and the one before is 38083.
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 4024th one is 38113.
- 2
38113 is prime because no prime up to ā38113 ā 195.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4024th prime is close to 4024 Ć ln(4024) ā 33399, and here it is 38113.
- 4
38113 has no twin: neither 38111 nor 38115 is prime.
Primes around the 4024th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4021 | 38053 | 6 |
| 4022 | 38069 | 16 |
| 4023 | 38083 | 14 |
| 4024 | 38113 | 30 |
| 4025 | 38119 | 6 |
| 4026 | 38149 | 30 |
| 4027 | 38153 | 4 |
Questions
What is the 4024th prime number?
38113.
Which prime number is 38113?
38113 is the 4024th prime number.
What is the sum of the first 4024 primes?
72,177,963.