What is the 4039th prime number?
The 4039th prime number is 38273. The next prime is 38281 (a gap of 8) and the one before is 38261.
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 4039th one is 38273.
- 2
38273 is prime because no prime up to ā38273 ā 195.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4039th prime is close to 4039 Ć ln(4039) ā 33539, and here it is 38273.
- 4
38273 has no twin: neither 38271 nor 38275 is prime.
Primes around the 4039th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4036 | 38237 | 6 |
| 4037 | 38239 | 2 |
| 4038 | 38261 | 22 |
| 4039 | 38273 | 12 |
| 4040 | 38281 | 8 |
| 4041 | 38287 | 6 |
| 4042 | 38299 | 12 |
Questions
What is the 4039th prime number?
38273.
Which prime number is 38273?
38273 is the 4039th prime number.
What is the sum of the first 4039 primes?
72,750,958.