What is the 2253rd prime number?
The 2253rd prime number is 19927. The next prime is 19937 (a gap of 10) and the one before is 19919.
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 2253rd one is 19927.
- 2
19927 is prime because no prime up to ā19927 ā 141.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2253rd prime is close to 2253 Ć ln(2253) ā 17393, and here it is 19927.
- 4
19927 has no twin: neither 19925 nor 19929 is prime.
Primes around the 2253rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2250 | 19891 | 2 |
| 2251 | 19913 | 22 |
| 2252 | 19919 | 6 |
| 2253 | 19927 | 8 |
| 2254 | 19937 | 10 |
| 2255 | 19949 | 12 |
| 2256 | 19961 | 12 |
Questions
What is the 2253rd prime number?
19927.
Which prime number is 19927?
19927 is the 2253rd prime number.
What is the sum of the first 2253 primes?
20,991,448.