What is the 1265th prime number?
The 1265th prime number is 10313. The next prime is 10321 (a gap of 8) and the one before is 10303.
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 1265th one is 10313.
- 2
10313 is prime because no prime up to ā10313 ā 101.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1265th prime is close to 1265 Ć ln(1265) ā 9036, and here it is 10313.
- 4
10313 has no twin: neither 10311 nor 10315 is prime.
Primes around the 1265th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1262 | 10289 | 16 |
| 1263 | 10301 | 12 |
| 1264 | 10303 | 2 |
| 1265 | 10313 | 10 |
| 1266 | 10321 | 8 |
| 1267 | 10331 | 10 |
| 1268 | 10333 | 2 |
Questions
What is the 1265th prime number?
10313.
Which prime number is 10313?
10313 is the 1265th prime number.
What is the sum of the first 1265 primes?
6,102,320.