What is the 5909th prime number?
The 5909th prime number is 58369. The next prime is 58379 (a gap of 10) and the one before is 58367.
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 5909th one is 58369.
- 2
58369 is prime because no prime up to ā58369 ā 241.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5909th prime is close to 5909 Ć ln(5909) ā 51315, and here it is 58369.
- 4
58369 is a twin prime: 58367 and 58369 are both prime.
Primes around the 5909th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5906 | 58337 | 16 |
| 5907 | 58363 | 26 |
| 5908 | 58367 | 4 |
| 5909 | 58369 | 2 |
| 5910 | 58379 | 10 |
| 5911 | 58391 | 12 |
| 5912 | 58393 | 2 |
Questions
What is the 5909th prime number?
58369.
Which prime number is 58369?
58369 is the 5909th prime number.
What is the sum of the first 5909 primes?
163,090,882.