What is the 2303rd prime number?
The 2303rd prime number is 20389. The next prime is 20393 (a gap of 4) and the one before is 20369.
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 2303rd one is 20389.
- 2
20389 is prime because no prime up to ā20389 ā 142.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2303rd prime is close to 2303 Ć ln(2303) ā 17830, and here it is 20389.
- 4
20389 has no twin: neither 20387 nor 20391 is prime.
Primes around the 2303rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2300 | 20357 | 4 |
| 2301 | 20359 | 2 |
| 2302 | 20369 | 10 |
| 2303 | 20389 | 20 |
| 2304 | 20393 | 4 |
| 2305 | 20399 | 6 |
| 2306 | 20407 | 8 |
Questions
What is the 2303rd prime number?
20389.
Which prime number is 20389?
20389 is the 2303rd prime number.
What is the sum of the first 2303 primes?
21,999,164.