What is the 2202nd prime number?
The 2202nd prime number is 19429. The next prime is 19433 (a gap of 4) and the one before is 19427.
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 2202nd one is 19429.
- 2
19429 is prime because no prime up to ā19429 ā 139.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2202nd prime is close to 2202 Ć ln(2202) ā 16949, and here it is 19429.
- 4
19429 is a twin prime: 19427 and 19429 are both prime.
Primes around the 2202nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2199 | 19421 | 4 |
| 2200 | 19423 | 2 |
| 2201 | 19427 | 4 |
| 2202 | 19429 | 2 |
| 2203 | 19433 | 4 |
| 2204 | 19441 | 8 |
| 2205 | 19447 | 6 |
Questions
What is the 2202nd prime number?
19429.
Which prime number is 19429?
19429 is the 2202nd prime number.
What is the sum of the first 2202 primes?
19,988,393.