What is the 4026th prime number?
The 4026th prime number is 38149. The next prime is 38153 (a gap of 4) and the one before is 38119.
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 4026th one is 38149.
- 2
38149 is prime because no prime up to ā38149 ā 195.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4026th prime is close to 4026 Ć ln(4026) ā 33418, and here it is 38149.
- 4
38149 has no twin: neither 38147 nor 38151 is prime.
Primes around the 4026th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4023 | 38083 | 14 |
| 4024 | 38113 | 30 |
| 4025 | 38119 | 6 |
| 4026 | 38149 | 30 |
| 4027 | 38153 | 4 |
| 4028 | 38167 | 14 |
| 4029 | 38177 | 10 |
Questions
What is the 4026th prime number?
38149.
Which prime number is 38149?
38149 is the 4026th prime number.
What is the sum of the first 4026 primes?
72,254,231.