What is the 1249th prime number?
The 1249th prime number is 10169. The next prime is 10177 (a gap of 8) and the one before is 10163.
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 1249th one is 10169.
- 2
10169 is prime because no prime up to ā10169 ā 100.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1249th prime is close to 1249 Ć ln(1249) ā 8905, and here it is 10169.
- 4
10169 has no twin: neither 10167 nor 10171 is prime.
Primes around the 1249th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1246 | 10151 | 10 |
| 1247 | 10159 | 8 |
| 1248 | 10163 | 4 |
| 1249 | 10169 | 6 |
| 1250 | 10177 | 8 |
| 1251 | 10181 | 4 |
| 1252 | 10193 | 12 |
Questions
What is the 1249th prime number?
10169.
Which prime number is 10169?
10169 is the 1249th prime number.
What is the sum of the first 1249 primes?
5,938,316.