What is the 2251st prime number?
The 2251st prime number is 19913. The next prime is 19919 (a gap of 6) and the one before is 19891.
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 2251st one is 19913.
- 2
19913 is prime because no prime up to ā19913 ā 141.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2251st prime is close to 2251 Ć ln(2251) ā 17376, and here it is 19913.
- 4
19913 has no twin: neither 19911 nor 19915 is prime.
Primes around the 2251st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2248 | 19867 | 6 |
| 2249 | 19889 | 22 |
| 2250 | 19891 | 2 |
| 2251 | 19913 | 22 |
| 2252 | 19919 | 6 |
| 2253 | 19927 | 8 |
| 2254 | 19937 | 10 |
Questions
What is the 2251st prime number?
19913.
Which prime number is 19913?
19913 is the 2251st prime number.
What is the sum of the first 2251 primes?
20,951,602.