What is the 1380th prime number?
The 1380th prime number is 11443. The next prime is 11447 (a gap of 4) and the one before is 11437.
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 1380th one is 11443.
- 2
11443 is prime because no prime up to ā11443 ā 106.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1380th prime is close to 1380 Ć ln(1380) ā 9977, and here it is 11443.
- 4
11443 has no twin: neither 11441 nor 11445 is prime.
Primes around the 1380th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1377 | 11411 | 12 |
| 1378 | 11423 | 12 |
| 1379 | 11437 | 14 |
| 1380 | 11443 | 6 |
| 1381 | 11447 | 4 |
| 1382 | 11467 | 20 |
| 1383 | 11471 | 4 |
Questions
What is the 1380th prime number?
11443.
Which prime number is 11443?
11443 is the 1380th prime number.
What is the sum of the first 1380 primes?
7,353,691.