What is the 1248th prime number?
The 1248th prime number is 10163. The next prime is 10169 (a gap of 6) and the one before is 10159.
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 1248th one is 10163.
- 2
10163 is prime because no prime up to ā10163 ā 100.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1248th prime is close to 1248 Ć ln(1248) ā 8897, and here it is 10163.
- 4
10163 has no twin: neither 10161 nor 10165 is prime.
Primes around the 1248th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1245 | 10141 | 2 |
| 1246 | 10151 | 10 |
| 1247 | 10159 | 8 |
| 1248 | 10163 | 4 |
| 1249 | 10169 | 6 |
| 1250 | 10177 | 8 |
| 1251 | 10181 | 4 |
Questions
What is the 1248th prime number?
10163.
Which prime number is 10163?
10163 is the 1248th prime number.
What is the sum of the first 1248 primes?
5,928,147.