What is the 2248th prime number?
The 2248th prime number is 19867. The next prime is 19889 (a gap of 22) and the one before is 19861.
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 2248th one is 19867.
- 2
19867 is prime because no prime up to ā19867 ā 140.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2248th prime is close to 2248 Ć ln(2248) ā 17350, and here it is 19867.
- 4
19867 has no twin: neither 19865 nor 19869 is prime.
Primes around the 2248th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2245 | 19843 | 2 |
| 2246 | 19853 | 10 |
| 2247 | 19861 | 8 |
| 2248 | 19867 | 6 |
| 2249 | 19889 | 22 |
| 2250 | 19891 | 2 |
| 2251 | 19913 | 22 |
Questions
What is the 2248th prime number?
19867.
Which prime number is 19867?
19867 is the 2248th prime number.
What is the sum of the first 2248 primes?
20,891,909.