What is the 2302nd prime number?
The 2302nd prime number is 20369. The next prime is 20389 (a gap of 20) and the one before is 20359.
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 2302nd one is 20369.
- 2
20369 is prime because no prime up to ā20369 ā 142.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2302nd prime is close to 2302 Ć ln(2302) ā 17821, and here it is 20369.
- 4
20369 has no twin: neither 20367 nor 20371 is prime.
Primes around the 2302nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2299 | 20353 | 6 |
| 2300 | 20357 | 4 |
| 2301 | 20359 | 2 |
| 2302 | 20369 | 10 |
| 2303 | 20389 | 20 |
| 2304 | 20393 | 4 |
| 2305 | 20399 | 6 |
Questions
What is the 2302nd prime number?
20369.
Which prime number is 20369?
20369 is the 2302nd prime number.
What is the sum of the first 2302 primes?
21,978,775.