What is the 3439th prime number?
The 3439th prime number is 32059. The next prime is 32063 (a gap of 4) and the one before is 32057.
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 3439th one is 32059.
- 2
32059 is prime because no prime up to ā32059 ā 179.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3439th prime is close to 3439 Ć ln(3439) ā 28004, and here it is 32059.
- 4
32059 is a twin prime: 32057 and 32059 are both prime.
Primes around the 3439th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3436 | 32029 | 2 |
| 3437 | 32051 | 22 |
| 3438 | 32057 | 6 |
| 3439 | 32059 | 2 |
| 3440 | 32063 | 4 |
| 3441 | 32069 | 6 |
| 3442 | 32077 | 8 |
Questions
What is the 3439th prime number?
32059.
Which prime number is 32059?
32059 is the 3439th prime number.
What is the sum of the first 3439 primes?
51,691,820.