What is the 2249th prime number?
The 2249th prime number is 19889. The next prime is 19891 (a gap of 2) and the one before is 19867.
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 2249th one is 19889.
- 2
19889 is prime because no prime up to ā19889 ā 141.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2249th prime is close to 2249 Ć ln(2249) ā 17358, and here it is 19889.
- 4
19889 is a twin prime: 19889 and 19891 are both prime.
Primes around the 2249th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2246 | 19853 | 10 |
| 2247 | 19861 | 8 |
| 2248 | 19867 | 6 |
| 2249 | 19889 | 22 |
| 2250 | 19891 | 2 |
| 2251 | 19913 | 22 |
| 2252 | 19919 | 6 |
Questions
What is the 2249th prime number?
19889.
Which prime number is 19889?
19889 is the 2249th prime number.
What is the sum of the first 2249 primes?
20,911,798.