What is the 2301st prime number?
The 2301st prime number is 20359. The next prime is 20369 (a gap of 10) and the one before is 20357.
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 2301st one is 20359.
- 2
20359 is prime because no prime up to ā20359 ā 142.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2301st prime is close to 2301 Ć ln(2301) ā 17812, and here it is 20359.
- 4
20359 is a twin prime: 20357 and 20359 are both prime.
Primes around the 2301st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2298 | 20347 | 6 |
| 2299 | 20353 | 6 |
| 2300 | 20357 | 4 |
| 2301 | 20359 | 2 |
| 2302 | 20369 | 10 |
| 2303 | 20389 | 20 |
| 2304 | 20393 | 4 |
Questions
What is the 2301st prime number?
20359.
Which prime number is 20359?
20359 is the 2301st prime number.
What is the sum of the first 2301 primes?
21,958,406.