What is the 1263rd prime number?
The 1263rd prime number is 10301. The next prime is 10303 (a gap of 2) and the one before is 10289.
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 1263rd one is 10301.
- 2
10301 is prime because no prime up to ā10301 ā 101.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1263rd prime is close to 1263 Ć ln(1263) ā 9019, and here it is 10301.
- 4
10301 is a twin prime: 10301 and 10303 are both prime.
Primes around the 1263rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1260 | 10271 | 4 |
| 1261 | 10273 | 2 |
| 1262 | 10289 | 16 |
| 1263 | 10301 | 12 |
| 1264 | 10303 | 2 |
| 1265 | 10313 | 10 |
| 1266 | 10321 | 8 |
Questions
What is the 1263rd prime number?
10301.
Which prime number is 10301?
10301 is the 1263rd prime number.
What is the sum of the first 1263 primes?
6,081,704.