What is the 1253rd prime number?
The 1253rd prime number is 10211. The next prime is 10223 (a gap of 12) and the one before is 10193.
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 1253rd one is 10211.
- 2
10211 is prime because no prime up to ā10211 ā 101.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1253rd prime is close to 1253 Ć ln(1253) ā 8938, and here it is 10211.
- 4
10211 has no twin: neither 10209 nor 10213 is prime.
Primes around the 1253rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1250 | 10177 | 8 |
| 1251 | 10181 | 4 |
| 1252 | 10193 | 12 |
| 1253 | 10211 | 18 |
| 1254 | 10223 | 12 |
| 1255 | 10243 | 20 |
| 1256 | 10247 | 4 |
Questions
What is the 1253rd prime number?
10211.
Which prime number is 10211?
10211 is the 1253rd prime number.
What is the sum of the first 1253 primes?
5,979,078.