What is the 2250th prime number?
The 2250th prime number is 19891. The next prime is 19913 (a gap of 22) and the one before is 19889.
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 2250th one is 19891.
- 2
19891 is prime because no prime up to ā19891 ā 141.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2250th prime is close to 2250 Ć ln(2250) ā 17367, and here it is 19891.
- 4
19891 is a twin prime: 19889 and 19891 are both prime.
Primes around the 2250th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2247 | 19861 | 8 |
| 2248 | 19867 | 6 |
| 2249 | 19889 | 22 |
| 2250 | 19891 | 2 |
| 2251 | 19913 | 22 |
| 2252 | 19919 | 6 |
| 2253 | 19927 | 8 |
Questions
What is the 2250th prime number?
19891.
Which prime number is 19891?
19891 is the 2250th prime number.
What is the sum of the first 2250 primes?
20,931,689.