What is the 2439th prime number?
The 2439th prime number is 21739. The next prime is 21751 (a gap of 12) and the one before is 21737.
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 2439th one is 21739.
- 2
21739 is prime because no prime up to ā21739 ā 147.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2439th prime is close to 2439 Ć ln(2439) ā 19023, and here it is 21739.
- 4
21739 is a twin prime: 21737 and 21739 are both prime.
Primes around the 2439th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2436 | 21713 | 12 |
| 2437 | 21727 | 14 |
| 2438 | 21737 | 10 |
| 2439 | 21739 | 2 |
| 2440 | 21751 | 12 |
| 2441 | 21757 | 6 |
| 2442 | 21767 | 10 |
Questions
What is the 2439th prime number?
21739.
Which prime number is 21739?
21739 is the 2439th prime number.
What is the sum of the first 2439 primes?
24,866,946.