What is the 1252nd prime number?
The 1252nd prime number is 10193. The next prime is 10211 (a gap of 18) and the one before is 10181.
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 1252nd one is 10193.
- 2
10193 is prime because no prime up to ā10193 ā 100.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1252nd prime is close to 1252 Ć ln(1252) ā 8930, and here it is 10193.
- 4
10193 has no twin: neither 10191 nor 10195 is prime.
Primes around the 1252nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1249 | 10169 | 6 |
| 1250 | 10177 | 8 |
| 1251 | 10181 | 4 |
| 1252 | 10193 | 12 |
| 1253 | 10211 | 18 |
| 1254 | 10223 | 12 |
| 1255 | 10243 | 20 |
Questions
What is the 1252nd prime number?
10193.
Which prime number is 10193?
10193 is the 1252nd prime number.
What is the sum of the first 1252 primes?
5,968,867.