What is the 2252nd prime number?
The 2252nd prime number is 19919. The next prime is 19927 (a gap of 8) and the one before is 19913.
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 2252nd one is 19919.
- 2
19919 is prime because no prime up to ā19919 ā 141.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2252nd prime is close to 2252 Ć ln(2252) ā 17384, and here it is 19919.
- 4
19919 has no twin: neither 19917 nor 19921 is prime.
Primes around the 2252nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2249 | 19889 | 22 |
| 2250 | 19891 | 2 |
| 2251 | 19913 | 22 |
| 2252 | 19919 | 6 |
| 2253 | 19927 | 8 |
| 2254 | 19937 | 10 |
| 2255 | 19949 | 12 |
Questions
What is the 2252nd prime number?
19919.
Which prime number is 19919?
19919 is the 2252nd prime number.
What is the sum of the first 2252 primes?
20,971,521.