What is the 4028th prime number?
The 4028th prime number is 38167. The next prime is 38177 (a gap of 10) and the one before is 38153.
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 4028th one is 38167.
- 2
38167 is prime because no prime up to ā38167 ā 195.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4028th prime is close to 4028 Ć ln(4028) ā 33437, and here it is 38167.
- 4
38167 has no twin: neither 38165 nor 38169 is prime.
Primes around the 4028th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4025 | 38119 | 6 |
| 4026 | 38149 | 30 |
| 4027 | 38153 | 4 |
| 4028 | 38167 | 14 |
| 4029 | 38177 | 10 |
| 4030 | 38183 | 6 |
| 4031 | 38189 | 6 |
Questions
What is the 4028th prime number?
38167.
Which prime number is 38167?
38167 is the 4028th prime number.
What is the sum of the first 4028 primes?
72,330,551.