What is the 4029th prime number?
The 4029th prime number is 38177. The next prime is 38183 (a gap of 6) and the one before is 38167.
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 4029th one is 38177.
- 2
38177 is prime because no prime up to ā38177 ā 195.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4029th prime is close to 4029 Ć ln(4029) ā 33446, and here it is 38177.
- 4
38177 has no twin: neither 38175 nor 38179 is prime.
Primes around the 4029th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4026 | 38149 | 30 |
| 4027 | 38153 | 4 |
| 4028 | 38167 | 14 |
| 4029 | 38177 | 10 |
| 4030 | 38183 | 6 |
| 4031 | 38189 | 6 |
| 4032 | 38197 | 8 |
Questions
What is the 4029th prime number?
38177.
Which prime number is 38177?
38177 is the 4029th prime number.
What is the sum of the first 4029 primes?
72,368,728.