What is the 2203rd prime number?
The 2203rd prime number is 19433. The next prime is 19441 (a gap of 8) and the one before is 19429.
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 2203rd one is 19433.
- 2
19433 is prime because no prime up to ā19433 ā 139.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2203rd prime is close to 2203 Ć ln(2203) ā 16958, and here it is 19433.
- 4
19433 has no twin: neither 19431 nor 19435 is prime.
Primes around the 2203rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2200 | 19423 | 2 |
| 2201 | 19427 | 4 |
| 2202 | 19429 | 2 |
| 2203 | 19433 | 4 |
| 2204 | 19441 | 8 |
| 2205 | 19447 | 6 |
| 2206 | 19457 | 10 |
Questions
What is the 2203rd prime number?
19433.
Which prime number is 19433?
19433 is the 2203rd prime number.
What is the sum of the first 2203 primes?
20,007,826.