What is the 439th prime number?
The 439th prime number is 3067. The next prime is 3079 (a gap of 12) and the one before is 3061.
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 439th one is 3067.
- 2
3067 is prime because no prime up to ā3067 ā 55.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 439th prime is close to 439 Ć ln(439) ā 2671, and here it is 3067.
- 4
3067 has no twin: neither 3065 nor 3069 is prime.
Primes around the 439th
| Position | Prime | Gap from the previous |
|---|---|---|
| 436 | 3041 | 4 |
| 437 | 3049 | 8 |
| 438 | 3061 | 12 |
| 439 | 3067 | 6 |
| 440 | 3079 | 12 |
| 441 | 3083 | 4 |
| 442 | 3089 | 6 |
Questions
What is the 439th prime number?
3067.
Which prime number is 3067?
3067 is the 439th prime number.
What is the sum of the first 439 primes?
621,132.