What is the 2198th prime number?
The 2198th prime number is 19417. The next prime is 19421 (a gap of 4) and the one before is 19403.
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 2198th one is 19417.
- 2
19417 is prime because no prime up to ā19417 ā 139.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2198th prime is close to 2198 Ć ln(2198) ā 16914, and here it is 19417.
- 4
19417 has no twin: neither 19415 nor 19419 is prime.
Primes around the 2198th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2195 | 19387 | 6 |
| 2196 | 19391 | 4 |
| 2197 | 19403 | 12 |
| 2198 | 19417 | 14 |
| 2199 | 19421 | 4 |
| 2200 | 19423 | 2 |
| 2201 | 19427 | 4 |
Questions
What is the 2198th prime number?
19417.
Which prime number is 19417?
19417 is the 2198th prime number.
What is the sum of the first 2198 primes?
19,910,693.