What is the 2305th prime number?
The 2305th prime number is 20399. The next prime is 20407 (a gap of 8) and the one before is 20393.
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 2305th one is 20399.
- 2
20399 is prime because no prime up to ā20399 ā 142.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2305th prime is close to 2305 Ć ln(2305) ā 17847, and here it is 20399.
- 4
20399 has no twin: neither 20397 nor 20401 is prime.
Primes around the 2305th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2302 | 20369 | 10 |
| 2303 | 20389 | 20 |
| 2304 | 20393 | 4 |
| 2305 | 20399 | 6 |
| 2306 | 20407 | 8 |
| 2307 | 20411 | 4 |
| 2308 | 20431 | 20 |
Questions
What is the 2305th prime number?
20399.
Which prime number is 20399?
20399 is the 2305th prime number.
What is the sum of the first 2305 primes?
22,039,956.