What is the 1393rd prime number?
The 1393rd prime number is 11579. The next prime is 11587 (a gap of 8) and the one before is 11551.
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 1393rd one is 11579.
- 2
11579 is prime because no prime up to ā11579 ā 107.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1393rd prime is close to 1393 Ć ln(1393) ā 10084, and here it is 11579.
- 4
11579 has no twin: neither 11577 nor 11581 is prime.
Primes around the 1393rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1390 | 11527 | 8 |
| 1391 | 11549 | 22 |
| 1392 | 11551 | 2 |
| 1393 | 11579 | 28 |
| 1394 | 11587 | 8 |
| 1395 | 11593 | 6 |
| 1396 | 11597 | 4 |
Questions
What is the 1393rd prime number?
11579.
Which prime number is 11579?
11579 is the 1393rd prime number.
What is the sum of the first 1393 primes?
7,503,264.