What is the 2339th prime number?
The 2339th prime number is 20759. The next prime is 20771 (a gap of 12) and the one before is 20753.
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 2339th one is 20759.
- 2
20759 is prime because no prime up to ā20759 ā 144.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2339th prime is close to 2339 Ć ln(2339) ā 18145, and here it is 20759.
- 4
20759 has no twin: neither 20757 nor 20761 is prime.
Primes around the 2339th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2336 | 20747 | 4 |
| 2337 | 20749 | 2 |
| 2338 | 20753 | 4 |
| 2339 | 20759 | 6 |
| 2340 | 20771 | 12 |
| 2341 | 20773 | 2 |
| 2342 | 20789 | 16 |
Questions
What is the 2339th prime number?
20759.
Which prime number is 20759?
20759 is the 2339th prime number.
What is the sum of the first 2339 primes?
22,740,176.