What is the 1375th prime number?
The 1375th prime number is 11393. The next prime is 11399 (a gap of 6) and the one before is 11383.
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 1375th one is 11393.
- 2
11393 is prime because no prime up to ā11393 ā 106.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1375th prime is close to 1375 Ć ln(1375) ā 9936, and here it is 11393.
- 4
11393 has no twin: neither 11391 nor 11395 is prime.
Primes around the 1375th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1372 | 11353 | 2 |
| 1373 | 11369 | 16 |
| 1374 | 11383 | 14 |
| 1375 | 11393 | 10 |
| 1376 | 11399 | 6 |
| 1377 | 11411 | 12 |
| 1378 | 11423 | 12 |
Questions
What is the 1375th prime number?
11393.
Which prime number is 11393?
11393 is the 1375th prime number.
What is the sum of the first 1375 primes?
7,296,578.