What is the 1262nd prime number?
The 1262nd prime number is 10289. The next prime is 10301 (a gap of 12) and the one before is 10273.
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 1262nd one is 10289.
- 2
10289 is prime because no prime up to ā10289 ā 101.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1262nd prime is close to 1262 Ć ln(1262) ā 9011, and here it is 10289.
- 4
10289 has no twin: neither 10287 nor 10291 is prime.
Primes around the 1262nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1259 | 10267 | 8 |
| 1260 | 10271 | 4 |
| 1261 | 10273 | 2 |
| 1262 | 10289 | 16 |
| 1263 | 10301 | 12 |
| 1264 | 10303 | 2 |
| 1265 | 10313 | 10 |
Questions
What is the 1262nd prime number?
10289.
Which prime number is 10289?
10289 is the 1262nd prime number.
What is the sum of the first 1262 primes?
6,071,403.