What is the 1394th prime number?
The 1394th prime number is 11587. The next prime is 11593 (a gap of 6) and the one before is 11579.
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 1394th one is 11587.
- 2
11587 is prime because no prime up to ā11587 ā 107.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1394th prime is close to 1394 Ć ln(1394) ā 10092, and here it is 11587.
- 4
11587 has no twin: neither 11585 nor 11589 is prime.
Primes around the 1394th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1391 | 11549 | 22 |
| 1392 | 11551 | 2 |
| 1393 | 11579 | 28 |
| 1394 | 11587 | 8 |
| 1395 | 11593 | 6 |
| 1396 | 11597 | 4 |
| 1397 | 11617 | 20 |
Questions
What is the 1394th prime number?
11587.
Which prime number is 11587?
11587 is the 1394th prime number.
What is the sum of the first 1394 primes?
7,514,851.