What is the 1266th prime number?
The 1266th prime number is 10321. The next prime is 10331 (a gap of 10) and the one before is 10313.
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 1266th one is 10321.
- 2
10321 is prime because no prime up to ā10321 ā 101.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1266th prime is close to 1266 Ć ln(1266) ā 9044, and here it is 10321.
- 4
10321 has no twin: neither 10319 nor 10323 is prime.
Primes around the 1266th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1263 | 10301 | 12 |
| 1264 | 10303 | 2 |
| 1265 | 10313 | 10 |
| 1266 | 10321 | 8 |
| 1267 | 10331 | 10 |
| 1268 | 10333 | 2 |
| 1269 | 10337 | 4 |
Questions
What is the 1266th prime number?
10321.
Which prime number is 10321?
10321 is the 1266th prime number.
What is the sum of the first 1266 primes?
6,112,641.