What is the 4025th prime number?
The 4025th prime number is 38119. The next prime is 38149 (a gap of 30) and the one before is 38113.
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 4025th one is 38119.
- 2
38119 is prime because no prime up to ā38119 ā 195.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4025th prime is close to 4025 Ć ln(4025) ā 33409, and here it is 38119.
- 4
38119 has no twin: neither 38117 nor 38121 is prime.
Primes around the 4025th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4022 | 38069 | 16 |
| 4023 | 38083 | 14 |
| 4024 | 38113 | 30 |
| 4025 | 38119 | 6 |
| 4026 | 38149 | 30 |
| 4027 | 38153 | 4 |
| 4028 | 38167 | 14 |
Questions
What is the 4025th prime number?
38119.
Which prime number is 38119?
38119 is the 4025th prime number.
What is the sum of the first 4025 primes?
72,216,082.