What is the 4027th prime number?
The 4027th prime number is 38153. The next prime is 38167 (a gap of 14) and the one before is 38149.
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 4027th one is 38153.
- 2
38153 is prime because no prime up to ā38153 ā 195.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4027th prime is close to 4027 Ć ln(4027) ā 33427, and here it is 38153.
- 4
38153 has no twin: neither 38151 nor 38155 is prime.
Primes around the 4027th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4024 | 38113 | 30 |
| 4025 | 38119 | 6 |
| 4026 | 38149 | 30 |
| 4027 | 38153 | 4 |
| 4028 | 38167 | 14 |
| 4029 | 38177 | 10 |
| 4030 | 38183 | 6 |
Questions
What is the 4027th prime number?
38153.
Which prime number is 38153?
38153 is the 4027th prime number.
What is the sum of the first 4027 primes?
72,292,384.