What is the 2309th prime number?
The 2309th prime number is 20441. The next prime is 20443 (a gap of 2) and the one before is 20431.
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 2309th one is 20441.
- 2
20441 is prime because no prime up to ā20441 ā 142.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2309th prime is close to 2309 Ć ln(2309) ā 17882, and here it is 20441.
- 4
20441 is a twin prime: 20441 and 20443 are both prime.
Primes around the 2309th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2306 | 20407 | 8 |
| 2307 | 20411 | 4 |
| 2308 | 20431 | 20 |
| 2309 | 20441 | 10 |
| 2310 | 20443 | 2 |
| 2311 | 20477 | 34 |
| 2312 | 20479 | 2 |
Questions
What is the 2309th prime number?
20441.
Which prime number is 20441?
20441 is the 2309th prime number.
What is the sum of the first 2309 primes?
22,121,646.