What is the 1389th prime number?
The 1389th prime number is 11519. The next prime is 11527 (a gap of 8) and the one before is 11503.
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 1389th one is 11519.
- 2
11519 is prime because no prime up to ā11519 ā 107.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1389th prime is close to 1389 Ć ln(1389) ā 10051, and here it is 11519.
- 4
11519 has no twin: neither 11517 nor 11521 is prime.
Primes around the 1389th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1386 | 11491 | 2 |
| 1387 | 11497 | 6 |
| 1388 | 11503 | 6 |
| 1389 | 11519 | 16 |
| 1390 | 11527 | 8 |
| 1391 | 11549 | 22 |
| 1392 | 11551 | 2 |
Questions
What is the 1389th prime number?
11519.
Which prime number is 11519?
11519 is the 1389th prime number.
What is the sum of the first 1389 primes?
7,457,058.