What is the 1264th prime number?
The 1264th prime number is 10303. The next prime is 10313 (a gap of 10) and the one before is 10301.
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 1264th one is 10303.
- 2
10303 is prime because no prime up to ā10303 ā 101.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1264th prime is close to 1264 Ć ln(1264) ā 9028, and here it is 10303.
- 4
10303 is a twin prime: 10301 and 10303 are both prime.
Primes around the 1264th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1261 | 10273 | 2 |
| 1262 | 10289 | 16 |
| 1263 | 10301 | 12 |
| 1264 | 10303 | 2 |
| 1265 | 10313 | 10 |
| 1266 | 10321 | 8 |
| 1267 | 10331 | 10 |
Questions
What is the 1264th prime number?
10303.
Which prime number is 10303?
10303 is the 1264th prime number.
What is the sum of the first 1264 primes?
6,092,007.