What is the 2201st prime number?
The 2201st prime number is 19427. The next prime is 19429 (a gap of 2) and the one before is 19423.
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 2201st one is 19427.
- 2
19427 is prime because no prime up to ā19427 ā 139.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2201st prime is close to 2201 Ć ln(2201) ā 16940, and here it is 19427.
- 4
19427 is a twin prime: 19427 and 19429 are both prime.
Primes around the 2201st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2198 | 19417 | 14 |
| 2199 | 19421 | 4 |
| 2200 | 19423 | 2 |
| 2201 | 19427 | 4 |
| 2202 | 19429 | 2 |
| 2203 | 19433 | 4 |
| 2204 | 19441 | 8 |
Questions
What is the 2201st prime number?
19427.
Which prime number is 19427?
19427 is the 2201st prime number.
What is the sum of the first 2201 primes?
19,968,964.